Fundamental Interactions: A Memorial Volume for Wolfgang Kummer

Contents......Page 8
Foreword by the Editors......Page 12
I Gauge Field Theory and Particle Physics......Page 16
1.1. Introduction......Page 18
1.2. Temporal gauge at finite temperature......Page 19
1.3. Thermal field theory in temporal gauge......Page 21
References......Page 23
2.1. Introduction......Page 24
2.2. The Bethe–Salpeter equation......Page 26
2.3. NRQED/NRQCD......Page 29
2.4. The bound state in dimensional regularization......Page 31
2.5. pNRQED/pNRQCD......Page 32
2.6. Outlook......Page 35
Acknowledgments......Page 36
References......Page 37
3.1. Introduction......Page 40
3.2. E(xtended)TME......Page 41
3.3. C(osmological)ETME......Page 42
3.4. Sources......Page 43
3.5. Summary......Page 45
References......Page 46
4.1. Dedication......Page 48
4.2. Introduction......Page 49
4.3. Magnetic charges in higher dimensional spaces......Page 50
4.4. Composite picture......Page 53
References......Page 55
5.1. Introduction......Page 56
5.2.1. Mass......Page 59
5.2.2. Central Charge......Page 68
5.3. Boundary terms and composite operator renormalization for supersymmetric monopoles......Page 72
5.3.1. The N = 2 monopole......Page 73
5.3.2. The N = 4 monopole......Page 78
5.4. Conclusions......Page 84
References......Page 86
6.1. Introduction......Page 90
6.2. Renormalization of φ4-theory......Page 93
6.2.1. The Landau ghost......Page 98
6.3. Induced gauge theory......Page 99
6.3.1. BRST quantization......Page 101
References......Page 103
7.1. Introduction......Page 106
7.2. Neutron Interferometry......Page 111
7.3.1. Spinor Symmetry: Neutrons in a Magnetic Field......Page 113
7.3.2. Spin Superposition......Page 114
7.3.3. Magnetic Josephson Effect......Page 116
7.4.1. Geometric Phases......Page 117
7.4.2. Contextuality and Kochen-Specker Phenomenon......Page 122
References......Page 127
8. First Class Constrained Systems and Twisting of Courant Algebroids by a Closed 4-Form M. Hansen and T. Strobl......Page 130
8.1. Introduction......Page 132
8.2.1. Two dimensional sigma models without background data on Σ......Page 136
8.2.2. Three dimensional sigma models......Page 140
8.3.1. Hamiltonian formulation......Page 143
8.3.2. Constraint algebra......Page 145
8.4. Axioms of H4-twisted Courant algebroids......Page 148
References......Page 158
9.1. Outline......Page 160
9.2.1. General setting......Page 161
9.2.3. Admissibility criteria for the gauge fixing function......Page 162
9.3. Global issues of gauge fixing: Gribov problem......Page 163
9.3.1. Geometric setting: Gauge fixing through minimization......Page 164
9.3.2. Determination of Gribov copies......Page 169
9.3.3. Tentatives to tackle the Gribov problem in the quantization procedure......Page 170
9.4. On the quantization in the Lorenz/Landau gauge......Page 173
9.4.2. The nonrenormalization of the gluon-ghost-antighost vertex......Page 174
9.5. On the quantization in axial gauges......Page 177
9.5.1. Preliminary considerations......Page 178
9.5.2. Prescriptions for the unphysical poles......Page 179
9.5.3. Extended BRST symmetry......Page 183
9.5.4.2. Consequences of the extended BRST and field renormalization......Page 184
9.5.5. Stability problem in the light-cone gauge......Page 185
References......Page 187
10.1. Introduction......Page 190
10.2. Basics of equilibrium thermal .eld theory......Page 191
10.3. Freezing unphysical degrees of freedom in the realtime formalism......Page 192
References......Page 194
II Classical and Quantum Gravity......Page 196
11.1.1. Early Attempts to Non-Einsteinian Gravity in 2D......Page 198
11.1.2. First Order Formulation of Generalized 2D Dilaton Gravity......Page 202
11.1.3. Exact Path Integral Quantization......Page 204
11.2. Two-Dimensional Dilaton Supergravity......Page 207
11.2.1. 2D Dilaton Supergravity from Graded PSMs......Page 208
11.2.2.1. Quantization Without Matter......Page 212
11.2.2.2. Quantization Including Matter Fields......Page 214
11.2.2.3. Four-Point Vertices......Page 217
11.3. Two-Dimensional Dilaton Gravity with Boundaries......Page 221
Appendix A. Notations and conventions......Page 224
References......Page 225
12.1. Introduction......Page 230
12.2. Foundations of Two-Dimensional Gravity......Page 232
12.4. 2-Body Motion......Page 234
12.5. 3-Body Motion......Page 237
12.6. N-bodies......Page 242
References......Page 244
13.1. Introduction......Page 246
13.2. Generic 2-D Dilaton Gravity: Action and Solutions......Page 248
13.3. Classical Vacuum Theory: Observables and Thermodynamics......Page 249
13.4. Hamiltonian Structure and Reduced Theory......Page 251
13.5. Semi-Classical Arguments and the Area Spectrum......Page 253
13.6.1. Exact Dirac Wave Functionals......Page 256
13.6.2. Partially Reduced Theory......Page 258
13.7. Conclusion......Page 259
Acknowledgments......Page 260
References......Page 261
14.1. Introduction......Page 264
14.2. Local form of the metric......Page 265
14.3. Extremals......Page 269
14.4. Global solutions......Page 273
14.5. Schwarzschild solution......Page 278
14.6. Conclusion......Page 280
References......Page 281
15.2. Tribute to Wolfgang Kummer......Page 282
15.3. Modern Cosmology......Page 284
15.4. Observational Facts......Page 285
15.5. Formulation(s) of the Cosmological Principle......Page 287
15.7. Cosmological In.ation and Quantum Gravity......Page 289
References......Page 290
16.1. Introduction......Page 292
16.3. Two-dimensional metric with spacelike singularity......Page 293
16.4. Two-dimensional metric with timelike singularity......Page 296
16.5. Asymptotically flat space......Page 297
16.6. Kasner metric......Page 300
16.7. Signature change and particle creation......Page 301
16.8. Different types of signature change......Page 302
16.9. Reflection of particles......Page 304
16.10. Conclusions......Page 305
References......Page 306
17.1. Preliminaries......Page 308
17.2. What can we call a noncommutative gravity?......Page 309
17.2.2. Seiberg-Witten map......Page 310
17.2.4. Gravity through Yang-Mills type symmetries......Page 311
17.2.5. Twisted symmetries......Page 312
17.2.6. NC geometry and spectral action......Page 313
17.3. The star products......Page 314
References......Page 315
18. Superembedding Approach to Superstring in AdS5 × S5 Superspace I. A. Bandos......Page 318
18.1. Introduction......Page 319
18.1.1. Superembedding equation......Page 321
18.2.1. Vector harmonics as moving frame adapted to (super)embedding......Page 322
18.2.2. Action of the moving frame formulation......Page 324
18.2.2.1. Variations and derivatives of the harmonic variables......Page 325
18.2.2.2. Lorentz harmonics and generalized Cartan forms for superbrane in curved (super)space......Page 327
18.2.2.3. Equations of motion of the moving frame action......Page 328
18.2.3. Irreducible κ–symmetry. Spinor harmonics enter the game......Page 329
18.2.4. Spinor moving frame formulation of super-p-branes......Page 330
18.2.5. Generalized action principle......Page 331
18.3.1. Spinor moving frame action for superstring......Page 333
18.3.2. Stringy Spin(1,9) SO(1,1)SO(8) spinorial harmonics......Page 334
19.1. Introduction......Page 350
19.2.1. Orbifold CFT and modular invariance......Page 354
19.2.2. Discrete torsion and quantum symmetries......Page 356
19.2.3. Simple currents......Page 357
19.2.4. Simple current modular invariants and chiral algebras......Page 359
19.3. Gepner-type (0,2) models......Page 361
19.3.1. The (2,2) case and the generalized GSO projection......Page 362
19.3.2. The extended Poincare polynomial......Page 364
19.3.3. Gauge/SUSY breaking and (0,2) models......Page 366
19.4. Geometry and vector bundle data......Page 368
19.5. Conclusion......Page 369
Appendix A. Gepner models, torus orbifolds & mirror symmetry......Page 370
Appendix B. N = 2 SCFT, simple currents & minimal models......Page 372
B.1. N = 2 minimal models......Page 373
Acknowledgments......Page 374
References......Page 375
20.1. Introduction......Page 378
20.2. Chern–Simons formulation......Page 380
20.3. Hamiltonian action at the chiral point......Page 382
20.4. Constraint analysis......Page 384
20.5. Conclusions......Page 387
References......Page 388
III Wolfgang Kummer and the Physics Community......Page 390
21. Wolfgang Kummer at CERN H. Schopper......Page 392
References......Page 395
22. Wolfgang Kummer and the Little Lost Lane Boy K. Lane......Page 396
References......Page 400
23.2. Short summary of present status of fossil fuel use and climate change......Page 402
23.3. How can widespread catastrophe be mitigated?......Page 405
23.4.1. Requirements......Page 407
23.4.2. Pilot Projects......Page 408
23.5. Future Projects......Page 411
23.6. Conclusion......Page 413
24. (My) Life with Wolfgang Kummer M. Schweda......Page 414
25. Schubert in Stony Brook and Kinks in Vienna P. van Nieuwenhuizen......Page 418
References......Page 421
Author Index......Page 422