Pomeron Physics and QCD

Half-title......Page 3
Title......Page 5
Copyright......Page 6
Contents......Page 7
Preface......Page 11
1.1 Kinematics......Page 15
1.2 The cross section......Page 17
1.4 Crossing and analyticity......Page 20
1.5 Partial-wave amplitudes......Page 26
1.6 The Froissart-Gribov formula......Page 27
1.7 The Froissart bound......Page 30
1.8 The Pomeranchuk theorem......Page 32
2.1 Motivation......Page 35
2.2 The Sommerfeld-Watson transform......Page 39
2.3 Connection with particles......Page 43
2.4 Regge cuts......Page 48
2.5 Signature and parity of cuts......Page 51
2.6 Reggeon calculus......Page 52
2.7 Daughter trajectories......Page 53
2.8 Fixed poles......Page 55
2.9 Spin......Page 58
3.1 Totalcross sections......Page 61
3.2 Elastic scattering......Page 67
3.3 Spin dependence of high energy proton-proton scattering......Page 79
3.4 Soft diffraction dissociation......Page 81
3.5 Central production......Page 89
3.6 Diffractive Higgs production......Page 92
3.7 Helicity structure of the pomeron......Page 93
3.8 Glueball production......Page 97
3.9 The Gribov-Morrison rule......Page 99
3.10 The odderon......Page 101
3.11 Scattering on nuclei......Page 103
4.1 Finite-energy sum rules......Page 105
4.2 Duality......Page 107
4.3 Two-component duality and exchange degeneracy......Page 108
4.4 The Veneziano model......Page 111
4.5 Pion-nucleon scattering......Page 114
5.1 Photon-proton and photon-photon total cross sections......Page 121
5.2 Vector-meson-dominance model......Page 122
5.3 Vector-meson photoproduction......Page 127
5.4 Spin effects in vector-meson photoproduction......Page 131
5.5 Diffraction dissociation......Page 134
5.6 Pion photoproduction......Page 136
6.1 Basics of QCD......Page 143
6.2 Semi-hard collisions......Page 149
6.3 Soft hadron-hadron collisions......Page 151
6.4 The QCD vacuum......Page 154
6.5 Nonlocal condensates......Page 159
6.6 Loops and the non-Abelian Stokes theorem......Page 163
6.7 Stochastic-vacuum model......Page 165
6.8 Renormalons......Page 169
7.1 Deep-inelastic lepton scattering......Page 174
7.2 The DGLAP equation......Page 179
7.3 The BFKL equation......Page 181
7.4 Regge approach......Page 186
7.5 Real photons: a crucial question......Page 192
7.6 Perturbative evolution......Page 193
7.7 Photon-photon interactions......Page 196
7.8 Exclusive vector-meson production......Page 205
7.9 Inclusive vector-meson photoproduction......Page 218
7.10 Diffractive structure function......Page 220
7.11 Diffractive jet production......Page 227
7.12 The perturbative odderon......Page 230
8.1 The Landshoff-Nachtmann model......Page 233
8.2 Functional-integral approach......Page 241
8.3 Quark-quark scattering amplitudes......Page 246
8.5 Evaluation of the dipole-dipole scattering amplitude......Page 253
8.6 Wave functions of photons and hadrons......Page 261
8.7 Applications to high-energy hadron-hadron scattering......Page 268
8.8 Application to photoproduction of vector mesons......Page 272
8.9 Photoproduction of pseudoscalar and tensor mesons......Page 275
8.10 The pomeron trajectory and nonperturbative QCD......Page 276
8.11 Scattering amplitudes in Euclidean space......Page 281
9.1 Deep-inelastic scattering......Page 283
9.2 Production processes......Page 288
9.3 Different approaches to dipole cross sections......Page 292
9.4 Saturation......Page 296
9.5 Two-pomeron dipole model......Page 303
10 Questions for the future......Page 309
Issues for experiment......Page 313
Issues for theory......Page 314
Appendix A Sommerfeld-Watson transform......Page 315
Appendix B The group SU(3)......Page 321
Appendix C Feynman rules of QCD......Page 324
Pion-nucleon scattering amplitudes......Page 328
Pion-photoproduction amplitudes......Page 331
Appendix E The density matrix of vector mesons......Page 336
References......Page 341
Index......Page 357