QCD as a Theory of Hadrons: From Partons to Confinement

Half-title......Page 2
Series-title......Page 3
Title......Page 4
Copyright......Page 5
Dedication......Page 6
Contents......Page 8
About Stephan Narison......Page 26
Outline of the book......Page 28
Preface......Page 30
Acknowledgements......Page 33
Part I General introduction......Page 34
1 A short flash on particle physics......Page 36
2.1 The quark model......Page 43
2.2.2 Currents and charges......Page 46
2.2.3 Chiral symmetry and pion PCAC......Page 48
2.2.4 Soft pion theorem and the Goldberger–Treiman relation......Page 49
2.2.5 The Adler–Weisberger sum rule and soft pion theorems......Page 50
2.2.6 Soft pion theorem for ... and the KSFR relation......Page 52
2.2.7 Weinberg current algebra sum rules......Page 54
Electromagnetic current......Page 55
Charged current......Page 56
2.3 Parton model and Bjorken scaling......Page 57
2.4.2 The Veneziano model and duality......Page 60
2.4.3 Duality diagrams......Page 61
3.1 QCD and the notion of quarks......Page 64
3.2 The notion of colours......Page 66
3.4 Indirect evidence of quarks......Page 67
3.5 Evidence for colours......Page 68
3.6 The SU(3) colour group......Page 70
3.7 Asymptotic freedom......Page 71
3.8 Quantum mechanics and non-relativistic aspects of QCD......Page 72
4.1 Wick\'s theorem......Page 73
4.2 Time-ordered product......Page 74
4.3.2 Applications: cross-section and decay rate......Page 75
4.4 Reduction formula......Page 77
4.5.1 Transition matrix of quantum mechanics in one dimension......Page 78
4.5.2 The Green\'s functions......Page 81
4.6.1 Scalar field quantization......Page 83
4.6.2 Application to...theory......Page 84
4.6.4 Gauge field quantization......Page 86
Part II QCD gauge theory......Page 88
5.1 Introduction......Page 90
5.3 The QED Lagrangian as a prototype......Page 91
5.4 The QCD Lagrangian......Page 93
5.5 Local invariance and BRST transformation......Page 94
6.1 Path integral technique for QCD......Page 96
6.2.1 Free-field propagators......Page 98
6.2.2 Vertices......Page 99
6.4 Qualitative feature of quantization......Page 101
7.1 U(1) global invariance......Page 103
7.2 SU(n)L × SU(n)R global chiral symmetry......Page 104
Part III MS scheme for QCD and QED......Page 106
Introduction......Page 107
8.1.2 Analytic regularization......Page 109
8.2.1 Naïve dimensional regularization......Page 110
8.2.3 \'t Hooft-Veltman regularization......Page 111
8.2.4 Momentum integrals in n dimensions......Page 112
8.2.5 Example of the pseudoscalar two-point correlator......Page 114
9.1 Renormalizability and power counting rules......Page 117
9.3 Dimensional renormalization......Page 119
9.4 Renormalization constants......Page 120
9.5 Check of the renormalizability of QCD......Page 122
10.1 Outline of the background field approach......Page 124
10.3 Renormalization of composite operators......Page 126
10.3.2 Renormalization of G G......Page 127
10.3.3 Renormalization of the axial anomaly......Page 129
10.3.4 Renormalizations of higher-dimension operators......Page 130
11 The renormalization group......Page 131
11.2 The Beta function and the mass anomalous dimension......Page 132
11.3 Gauge invariance of β(α) and γm in the MS scheme......Page 134
11.4 Solutions of the RGE......Page 135
11.6 The RGE for the two-point function in the MS scheme......Page 137
11.7.1 Lowest order expression and the definition of the QCD scale A......Page 139
11.7.2 Renormalization group invariance of the first two coefficients of Β......Page 140
11.7.3 Higher order expression......Page 141
11.9 Input values of α and matching conditions......Page 142
11.10 Running gauge......Page 143
11.11 Running masses......Page 144
11.12 The perturbative pole mass......Page 145
11.12.1 The b and c pole mass difference......Page 150
11.14 MS scheme and RGE for the pseudoscalar two-point correlator......Page 151
11.14.1 Lowest order perturbative calculation......Page 152
11.14.2 Two-loop perturbative calculation in the MS scheme......Page 153
12.1 The MS scheme......Page 156
12.2 The momentum subtraction scheme......Page 157
12.4 The BLM scheme......Page 158
12.5 The PMS optimization scheme......Page 160
12.6 The effective charge scheme......Page 162
13.2 Renormalization constants and RGE......Page 164
13.4 Effective charge and link between the MS and on-shell scheme......Page 165
14.1.1 The electron anomaly and measurement of fine structure constant Alpha......Page 168
14.1.2 The muon anomaly and the rôle of the hadronic contributions......Page 169
14.1.3 The lowest order hadronic contributions......Page 170
14.1.4 The higher order hadronic contributions......Page 174
14.1.5 The total theoretical contributions to a......Page 176
14.2.1 Lowest order hadronic contributions......Page 177
14.2.2 QED running coupling Alpha(MZ)......Page 178
14.2.3 Muonium hyperfine splitting......Page 179
14.3 Conclusions......Page 181
Part IV Deep inelastic scatterings at hadron colliders......Page 182
15.1 Introduction......Page 184
15.2 The OPE for free fields at short distance......Page 185
15.3 Application of the OPE for free fields: parton model and Bjorken scaling......Page 186
15.4 Light-cone expansion in...(x) theory and operator twist......Page 191
16.1 Moment sum rules......Page 193
16.3 Anomalous dimension of the non-singlet structure functions......Page 197
16.4.1 Non-singlet part of the Bjorken sum rule......Page 200
Non-singlet part......Page 202
Singlet part......Page 203
16.5 Singlet anomalous dimensions and moments......Page 204
17.1 The non-singlet case......Page 207
17.2 The singlet case......Page 208
17.3 Some physical interpretations and factorization theorem......Page 209
17.4 Polarized parton densities......Page 210
18.2.1 The limit x → 1......Page 213
18.2.3 The limit x → 0 for the singlet case and the BFKL pomeron......Page 214
18.3 Experimental tests and new developments......Page 215
18.4 Neutrino scattering sum rules......Page 218
18.5 Summary of α measurements from DIS......Page 220
19.2 Extension of the method to massive quarks......Page 221
19.3.2 Semi-inclusive polarized ep scattering......Page 223
1. Introduction......Page 225
2. The first moment sum rule for g…......Page 228
3. QCD spectral sum rule estimate of X\'(0)......Page 232
4. Tests of the Bjorken sum rule and estimate of higher twist effects......Page 238
5. Further discussion......Page 239
Chiral Ward identities and the renormalisation group......Page 241
Decay constants and the π\'......Page 242
Acknowledgements......Page 246
References......Page 247
20.1 Kinematics......Page 249
20.2.1 Cross-section......Page 250
20.3 Higher order corrections to the cross-section......Page 251
20.4 The K factor......Page 253
21 One \'prompt photon\' inclusive production......Page 254
Part V Hard processes in...collisions......Page 256
Introduction......Page 257
22.1 Process and fragmentation functions......Page 258
22.2 Inclusive density, correlations and hadron multiplicity......Page 259
22.3 Parton model and QCD description......Page 260
23.1 OPE and moment sum rules......Page 265
23.2 Unpolarized photon structure functions......Page 267
23.3.1 Moments and cross-section......Page 268
The AVV vertex and chiral Ward identities......Page 269
Non-singlet form factors......Page 270
Singlet form factors......Page 272
Implications for the moment sum rules......Page 273
24.2 IR divergences: Bloch–Nordsieck and KLN theorems......Page 274
24.3 Two-jet events......Page 277
24.4 Three-jet events......Page 279
24.4.1 Thrust as a jet observable......Page 280
24.4.2 Other event-shape variables......Page 281
24.4.3 Event-shape distributions......Page 282
24.4.4 Energy-energy correlation......Page 283
24.4.5 Jade and Durham algorithms......Page 284
24.5 QCD tests from jet analysis......Page 285
24.6 Jets from heavy quarkonia decays......Page 286
24.7 Jets from ep, pp and pp collisions......Page 288
25.1 Heavy quarkonia OZI-violating decays......Page 289
25.2 Alternative extractions of α from heavy quarkonia......Page 291
25.3 ... hadrons total cross-section......Page 292
25.4 Z → hadrons......Page 295
25.5 Inclusive semi-hadronic τ decays......Page 296
25.5.1 Running of α below the τ-mass......Page 303
25.6.1 α from other τ widths......Page 304
25.6.2 α from…I = 1 hadrons data......Page 305
25.6.3 Strange quark mass from τ-like processes......Page 306
Part VI Summary of QCD tests and α measurements......Page 308
VI.2.1 Deep inelastic scatterings......Page 309
VI.3 Summary of the α determinations......Page 310
Part VII Power corrections in QCD......Page 316
26 Introduction......Page 318
27.1 The anatomy of the SVZ expansion......Page 320
27.2 SVZ expansion in the...model......Page 321
27.3.1 Scale invariant D = 4 condensates......Page 323
27.3.2 D = 5 mixed quark-gluon condensate......Page 325
27.3.3 D = 6 gluon condensates......Page 326
27.3.4 D = 6 four-quark condensates......Page 327
27.3.5 Higher dimensions gluonic condensates......Page 328
27.3.6 Relations among the different condensates......Page 329
27.3.7 Non-normal ordered condensates and cancellation of mass singularities......Page 330
28.1.2 Gluon fields and condensates......Page 332
28.1.4 Mixed quark-gluon condensate......Page 334
28.1.6 Quark propagator......Page 335
28.2 Application of the Fock–Schwinger technology to the light quarks pseudoscalar two-point correlator......Page 336
28.2.1 Quark condensate.........Page 337
28.2.2 Gluon condensate.........Page 338
28.2.3 Mixed quark-gluon condensate......Page 339
28.2.4 Four-quark condensates......Page 340
28.3.1 General procedure......Page 341
28.3.2 D = 4 gluon condensate of the electromagnetic correlator......Page 342
28.3.3 D = 6 condensates of the electromagnetic correlator......Page 343
28.3.4 Matching the heavy and light quark expansions......Page 344
28.3.5 Cancellation of mass singularities......Page 345
28.4 The plane wave method......Page 346
28.5 On the calculation in a covariant gauge......Page 347
29.1 Introduction......Page 348
29.2 Convergence of the Borel integral......Page 350
29.4 IR renormalons......Page 351
29.5 UV renormalons......Page 354
29.6.1 The D-function......Page 355
29.6.2 Semi-hadronic inclusive Tau decays......Page 356
29.7 Power corrections for jet shapes......Page 357
29.8.1 Drell–Yan process......Page 358
29.8.3 Gross–Llewellyn Smith and polarized Bjorken sum rules......Page 359
29.9 Power corrections to the heavy quark pole mass......Page 360
30.1 Tachyonic gluon mass......Page 362
30.2.1 \'t Hooft instanton solution......Page 364
30.2.3 Dilute gas approximation......Page 366
30.2.4 The instanton liquid model......Page 368
30.3 Lattice measurements of power corrections......Page 369
Part VIII QCD two-point functions......Page 374
31.3 Quark mass corrections to the (pseudo)scalar and (axial)-vector quark correlators......Page 376
31.9 Hybrid correlators......Page 377
32.1 Exact two-loop perturbative expression in the MS scheme......Page 378
32.2 Three-loop expressions in the chiral limit......Page 379
32.4 Dimension-four......Page 380
32.5 Dimension-five......Page 381
32.7 Exact two-loop expression of the spectral function......Page 382
32.8 Heavy-light correlator......Page 383
33.1 Exact two-loop perturbative expression in the MS scheme......Page 385
33.2 Three-loop expression including the m-terms......Page 386
33.3 Dimension-four......Page 387
33.5 Dimension-six......Page 389
33.6.1 Complete two-loop perturbative expression of the spectral function......Page 390
33.6.2 Four-loop perturbative expression of the spectral function......Page 391
33.7 Heavy-light correlator......Page 392
33.8.1 Vector correlator......Page 393
33.8.2 (Pseudo)scalar correlator......Page 394
34 Tensor-quark correlator......Page 395
35.1.1 The decuplet......Page 397
35.1.2 The octet......Page 398
35.2.1 Spin 1/2 baryons......Page 400
35.2.2 Spin 3/2 baryon......Page 402
36.1 Four-quark states......Page 404
36.2 S = 1 correlator and I = 1/2 rule......Page 405
36.3 The S = 2 correlator......Page 407
36.4 The B = 2 correlator......Page 408
37.1 Pseudoscalar gluonia......Page 411
37.2 Pseudoscalar meson-gluonium mixing......Page 413
37.4 Scalar meson-gluonium mixing......Page 414
37.6 Scalar di-and tri-gluonium mixing......Page 415
37.8 Tensor meson-gluonium mixing......Page 416
37.9 Contributions beyond the OPE: tachyonic gluon mass......Page 417
38.1 Light hybrid correlators......Page 419
38.2 Heavy hybrid correlators......Page 421
39.1 (Axial-)vector correlators......Page 422
39.2 (Pseudo)scalar correlators......Page 423
Part IX QCD non-perturbative methods......Page 426
40 Introduction......Page 428
41.1 Introduction......Page 429
41.2 Gluons on the lattice: the Wegner–Wilson action......Page 430
41.3 Quarks on the lattice......Page 432
41.4 Quark and gluon interactions......Page 435
41.5.1 The QCD coupling and the weak coupling regime......Page 437
41.5.2 Wilson loop, confinement and the strong coupling regime......Page 438
41.5.3 Some other applications and limitations of the lattice......Page 440
42.1 Introduction......Page 442
42.2 PCAC relation from ChPT......Page 443
42.3 Current algebra quark mass ratios......Page 446
42.4.2 Chiral loops......Page 447
42.4.3 The non-Abelian chiral anomaly......Page 449
42.5 Some low-energy phenomenology to order ρ......Page 450
42.5.1 Decay constants......Page 451
42.5.2 Electromagnetic form factors......Page 452
42.5.3 K decays......Page 453
42.5.4 Ratios of light quark masses to order ρ......Page 454
43.1 Introduction......Page 457
43.2.1 Large N counting rules for mesons......Page 458
43.2.2 Chiral Lagrangian in the large N-limit......Page 459
43.2.3 Minimal hadronic ansatz to large N QCD......Page 460
43.2.4 Baryons in the large N limit......Page 463
43.3 Lowest meson dominance models......Page 464
43.4 The constituent chiral quark model......Page 465
43.5 Effective action approach models......Page 466
43.6 The Extended Nambu–Jona-Lasinio Model......Page 467
44.2 Heavy-quark symmetry......Page 475
44.3.1 Introduction......Page 476
44.3.2 The HQET Lagrangian......Page 477
44.3.3 Symmetries of the Lagrangian......Page 480
44.3.4 Heavy quark wave-function renormalization in HQET......Page 481
44.3.5 Residual mass term and definition of the heavy quark mass......Page 482
44.4 Hadron spectroscopy from HQET......Page 483
44.5.1 Semi-leptonic form factors: the Isgur–Wise function......Page 485
44.5.2 The Luke\'s theorem for the 1/mQ corrections......Page 488
44.5.3 Short-distance corrections and matching conditions......Page 489
44.5.4 Determination of |V| from HQET......Page 490
44.6 The inclusive…weak process......Page 491
44.7 Rare B decays and CP-violation......Page 495
45.1 The Schrödinger equation......Page 497
45.2 The QCD static Coulomb potential......Page 498
45.3.3 Martin potential......Page 501
45.4.1 Relativistic corrections......Page 502
45.4.2 Radiative and non-perturbative corrections......Page 504
45.4.4 Some phenomenological applications......Page 505
45.5 Bell–Bertlmann equivalent potentials......Page 506
45.6 Stochastic vacuum model......Page 507
45.6.1 The model......Page 508
45.6.2 Application to the static potential......Page 510
45.7 Non-relativistic effective theories for quarkonia......Page 512
46 On monopole and confinement......Page 517
Part X QCD spectral sum rules......Page 520
47 Introduction......Page 522
48.1 Generalities and dispersion relations......Page 524
48.2 Explicit derivation of the dispersion relation......Page 525
48.3 General proof of the dispersion relation......Page 527
48.4 The QCD side of the sum rules......Page 529
49.1 Moment sum rules in QCD......Page 532
49.2 Laplace sum rule (LSR)......Page 533
49.3 Ratio of moments......Page 534
49.4 Finite energy sum rule (FESR)......Page 536
49.5 Features of FESR and an example......Page 537
49.6 The Gaussian sum rules......Page 538
49.8 Analytic continuation......Page 541
49.10 Optimization criteria......Page 542
49.10.1 The harmonic oscillator......Page 543
49.10.2 Non-relativistic charmonium sum rules......Page 544
49.10.3 Implications for QCD......Page 545
49.12 Test of the QCD-duality ansatz in the charmonium sum rules......Page 546
49.13 HQET sum rules......Page 548
49.13.1 Decay constant, meson-quark mass gap, kinetic energy and chromomagnetic operator......Page 549
49.14 Vertex sum rules and form factors......Page 551
49.14.1 Spectral representation......Page 552
49.14.2 Illustration from the evaluation of the g...coupling......Page 553
49.15.1 Basics and illustration by the...process......Page 555
49.15.2 Distribution amplitudes......Page 558
50.1 Sacrosanct Weinberg sum rules (WSR) in the chiral limit......Page 560
50.1.2 Matching between the low- and high-energy regions......Page 561
50.2 ...and f in the chiral limit......Page 563
50.3 Masses and power corrections to the Weinberg sum rules......Page 564
50.4 DMO sum rules in QCD......Page 565
51.1 α from...hadrons and Tau-decays data......Page 566
51.2 α from heavy quarkonia mass-splittings......Page 567
1. The double ratio of moments......Page 568
3. Balmer-mass formula from the ratio of moments......Page 570
4. ... hyperfine and P – S-wave splittings......Page 572
5. Leptonic width and quarkonia wave function......Page 573
6. Gluon condensate from…......Page 574
7. Charmonium P-wave splittings......Page 575
9. ... mass splitting......Page 577
10. ... mass splittings and new estimate of the gluon condensate......Page 578
12. Toponium: illustration of the infinite mass limit......Page 579
References......Page 580
52.1 Dimension-two tachyonic gluon mass......Page 583
52.3 Dimension-four gluon condensate......Page 584
52.5 Dimension-six four-quark condensates......Page 586
52.7 Dimension-eight condensates......Page 588
52.8 Instanton like-contributions......Page 589
1. Introduction......Page 590
2. α from ... hadrons data......Page 591
3. The condensates from -like decays......Page 594
4. The condensates from the ratio of the Laplace sum rules......Page 597
6. Test of the size of the 1/M2-term......Page 599
7. Sum of the non-perturbative corrections to R......Page 600
8. Implication on the value of from R......Page 601
9. Conclusion......Page 602
References......Page 603
53.1 Introduction......Page 605
53.2 Quark mass definitions and ratios of light quark masses......Page 606
53.3.1 Bounds on the sum of light quark masses from pseudoscalar channels......Page 607
53.3.3 Bounds on the sum of light quark masses from the quark condensate and…......Page 611
53.4.1 The (pseudo)scalar Laplace sum rules......Page 613
53.4.2 The ud channel......Page 615
53.4.3 The us channel and QSSR prediction for the ratio.........Page 617
53.5 Direct extraction of the chiral condensate (uu)......Page 618
53.6 Final estimate of ... from QSSR and consequences on .........Page 619
53.7.1 The scalar ud channel......Page 620
53.9.1 ... hadrons data and the Φ-meson channel......Page 621
53.9.2 Tau decays......Page 622
53.9.3 Summary for the estimate of light quark masses......Page 623
53.10.1 Pseudoscalar mesons......Page 624
53.10.2 Scalar mesons......Page 626
53.11.1 SU(3) corrections to kaon PCAC......Page 627
53.11.2 Subtraction constant from the scalar sum rule......Page 630
53.11.4 (ss) / (uu) from the Bs meson......Page 631
53.12 Heavy quark masses......Page 632
53.12.1 The quarkonia channel......Page 633
53.12.2 The heavy-light D and B meson channels......Page 635
Summary for the heavy quark masses and consequences......Page 639
53.13 The weak leptonic decay constants.........Page 640
53.13.1 Upper bound on the value of fD......Page 641
53.13.2 Estimate of the D decay constant fD......Page 642
53.13.3 Ratio of the decay constants…......Page 643
53.13.5 Static limit and 1/M-corrections to fB......Page 645
53.14 Conclusions......Page 647
54.2 Light baryons......Page 648
54.3.2 Baryons with one heavy quark......Page 651
54.4 Hadrons with charm and beauty......Page 653
54.6 Gluonia spectra......Page 654
54.7.2 ...couplings to.........Page 655
54.7.3 G(1.5) coupling to nn\'......Page 657
54.7.4 ... couplings to 4 Pi......Page 658
54.7.5 …and G couplings to........Page 659
54.7.6 J/ψ →  γ S radiative decays......Page 660
54.9 Mixing schemes for scalar mesons......Page 661
54.9.2 Nature of the.........Page 662
54.10 Mixing and decays of the tensor gluonium......Page 664
54.12 Test of the four-quark nature of the α (980)......Page 665
54.13 Light hybrids......Page 667
54.13.2 Decay widths of the.........Page 668
54.14.1 Conclusions......Page 669
55.1.1 Introduction and notations......Page 671
55.1.2 Estimate of the form factors and of V......Page 674
55.1.4 Large Mb-limit of the form factors......Page 676
55.1.5 q-behaviour of the form factors......Page 677
55.2 Slope of the Isgur–Wise function and value of V......Page 678
55.3 B(D) → B(D) Π (γ) couplings and decays......Page 682
55.4 Weak semi-leptonic decays of the B mesons......Page 683
55.4.1 Anomalous thresholds......Page 685
56.1.1 Phenomenology of...mixings......Page 687
56.1.2 The Bell–Steinberger unitarity constraint......Page 690
56.1.3 K → 2Pi amplitudes......Page 692
56.2.1 Introduction......Page 697
56.2.2 Two-point function sum rule......Page 698
56.2.3 Results and implications on.........Page 700
56.3.2 Estimate of the CP violation parameters .........Page 701
56.4.1 SM theory of .........Page 702
56.4.2 Soft pion and kaon reductions of... to vacuum condensates......Page 706
56.4.3 The...condensates from DMO-like sum rules in the chiral limit......Page 707
56.4.4 The...condensates from hadronic tau inclusive decays......Page 709
56.4.5 Impact of the results on the CP violation parameter.........Page 712
56.4.6 Summary and conclusions......Page 713
57.1 The QCD phases......Page 714
57.3 Hadronic correlations at finite temperature......Page 715
57.4 Asymptotic behaviour of the correlator in hot hadronic matter......Page 717
57.5 Quark condensate at finite Τ......Page 719
57.8 Four-quark condensate......Page 723
57.9 The ρ-meson spectrum in hot hadronic matter......Page 724
57.10 ρ-meson coupling and width......Page 726
57.12 Hadronic couplings......Page 727
57.13 Nucleon sum rules and neutron electric dipole moment......Page 728
58.2 Electroweak models with dynamic symmetry breaking......Page 729
Part XI Appendices......Page 732
A.2 High-energy physical constants......Page 734
A.3 CKM weak mixing matrix......Page 735
A.4 Some astrophysical constants......Page 736
B.2 Adjoint representation of the gluon fields......Page 737
B.4 The case of SU(3)......Page 738
Appendix C Coordinates and momenta......Page 740
D.1 Definition and notations......Page 742
D.3 Polarizations......Page 743
D5. Dirac algebra in n-dimensions......Page 744
D.6 The totally anti-symmetric tensor......Page 746
E.2 Factors induced by closed loops......Page 747
E.3 Propagators and vertices......Page 748
E.4 Composite operators in deep-inelastic scattering......Page 749
E.5 Rules in the background field approach......Page 750
F.1.2 Original Feynman parametrization......Page 752
F.2 The...function......Page 753
F.3 The beta function Β(x, y)......Page 754
F.6 One-loop massless integrals......Page 755
F.7 Two- and three-loop massless integrals......Page 757
F.8 One-loop massive integrals......Page 759
F.9 A two-loop massive integral......Page 760
F.10 The dilogarithm function......Page 761
F.11 Some useful logarithmic integrals......Page 762
F.12 Further useful functions......Page 764
G.1 Laplace sum rule......Page 765
G.4 Cauchy contour integrals......Page 766
Current algebra......Page 768
Parton models......Page 769
The QCD story......Page 770
The MS scheme......Page 773
Renormalizations of operators......Page 774
Heavy quark pole masses......Page 775
MS scheme for QED and high-precision tests of QED......Page 776
Unpolarized DIS processes......Page 778
Polarized DIS processes and the proton spin crisis......Page 779
Processes......Page 780
Heavy quarkonia decays......Page 781
Tau-decays and QCD perturbative series......Page 782
Strange quark mass......Page 783
Reviews on QCD spectral sum rules......Page 784
Instantons......Page 785
Gluon condensate from.........Page 786
Baryon sum rules......Page 787
Heavy baryons......Page 788
Renormalons 3......Page 789
Chiral perturbation theory......Page 790
Large Nc......Page 791
Heavy quark symmetry and HQET......Page 792
Inclusive weak processes......Page 793
Non-relativistic effective theories for quarkonia......Page 794
Laplace, FESR sum rules,.........Page 795
Light cone sum rules......Page 796
Light quark masses......Page 797
Heavy quark masses......Page 798
Gluonia......Page 799
Heavy to light exclusive decays......Page 801
B decays......Page 802
Theory of .........Page 803
Plasma......Page 804
XI Appendices......Page 805
Index......Page 806