Quantum Field Theory Under the Influence of External Conditions: Devoted to the Centenary of H B G Casimir

Calculations of Casimir Forces......Page 6
References......Page 54
Preface......Page 13
Organizing Committee......Page 16
Schedule of Talks......Page 17
1. Introduction......Page 24
2. The N-Sphere configuration......Page 25
3. Loop integrals......Page 26
References......Page 28
Keywords:......Page 29
References......Page 34
1. Introduction......Page 35
2. Fluctuating Currents and T-operators......Page 36
3.1. Sphere-plane......Page 41
3.2. Three-body effects......Page 44
3.3. Orientation dependence......Page 47
3.4. Material dependence......Page 51
3.5. Further extensions......Page 53
2. Zeta Function for Semitransparent Pistons......Page 56
References......Page 60
1. Introduction......Page 61
2. Point-Matching Numerical Approach......Page 64
3. Cylindrical Rack and Pinion......Page 66
4. Outer Conductors with Focal Lines: Cylinder Inside an Ellipse......Page 68
5. Final Remarks......Page 69
References......Page 70
1. Introduction......Page 71
2. Interaction energy......Page 72
2.1. Evaluation of the reduced Green’s dyadic......Page 74
2.3. Conductor limit......Page 75
3. Conclusion......Page 76
References......Page 77
1. The Many Facets of the Casimir Effect......Page 78
2. Comparison of the Casimir Force Measurements with Theory......Page 79
3. The Role of Geometry......Page 80
4. Introduction to the Scattering Approach......Page 81
5. The Non-specular Scattering Formula......Page 83
6. The Lateral Casimir Force between Corrugated Plates......Page 85
7. The Plane-Sphere Geometry Beyond PFA......Page 86
References......Page 88
1. Introduction......Page 91
2. Separation of Variables......Page 92
3. Casimir Energy for Planes in an Annular Cavity......Page 93
4. Numerical Results for Dirichlet Planes......Page 96
References......Page 97
Thermal Casimir Effects......Page 7
1. Introduction......Page 99
2. Rectangular Trench Arrays: Comparison of the Casimir Force to the PAA and the PFA......Page 101
3. Experimental Procedures......Page 103
4. Measurement of the Casimir Force on Flat and Corrugated Silicon Surfaces......Page 106
Acknowledgments......Page 109
References......Page 110
Keywords:......Page 111
1. Introduction......Page 112
2. Experimental Details......Page 113
3.1. Optical properties of the sample used......Page 114
3.2. Low temperature measurements......Page 116
Acknowledgments......Page 118
References......Page 119
1. Introduction......Page 121
2. Casimir Force Measurements: Common Challenges......Page 122
3. Our New Experimental Method......Page 123
4. Fiber-Top Casimir Force Setup......Page 127
Acknowledgments......Page 129
References......Page 130
1. Introduction......Page 132
2.1. Modification of the cantilever......Page 134
2.2. Preparation of the corrugated surfaces......Page 135
2.3. The in situ imprint procedure......Page 136
3.1. The measurement of the contact potential......Page 137
3.2. Correction of the non-zero tilt of the vertical template grating......Page 139
3.3. Measurement of the lateral Casimir force......Page 140
3.5. Measurement of the force calibration constant kben and the separation distance at contact z0......Page 141
4. Results......Page 142
Acknowledgments......Page 143
References......Page 144
2. BEC near a Corrugated Surface......Page 145
3. The Modified Energy Spectrum......Page 147
4. Measurement of the Spectrum and Numerical Estimates......Page 148
References......Page 149
1. Introduction......Page 150
3. Origin of Repulsive Forces......Page 151
4. Measurements of Repulsive Forces......Page 153
5. Future Measurement Directions and Technological Opportunities......Page 156
References......Page 158
1. Introduction......Page 160
2. Casimir force experiments and non-Newtonian limits in the micrometer range......Page 161
3. Higgs shifts in astrophysical environments......Page 164
References......Page 168
1. Introduction......Page 170
2. Current experimental set-up......Page 172
3. Results and perspectives......Page 174
References......Page 175
1. Introduction......Page 176
2. The Bohr-van Leeuwen theorem......Page 178
3. The Bohr-van Leewuen theorem and the Casimir effect......Page 179
References......Page 180
1. Introduction......Page 181
2. Extracts from the Classic Theory for the Perfectly Conducting Wedge......Page 183
3.1. The boundary r = a being perfectly conducting......Page 184
4. Wedge II: Diaphanous (Isorefractive) Wedge in Cylindrical Shell......Page 185
5. Considerations of Finite Temperature......Page 186
6. On the Electromagnetic Energy Momentum Tensor in Media......Page 188
References......Page 189
1. Introduction......Page 191
2. Correspondence of Thermal Non-equilibrium Theories......Page 192
3. Thermal CP Potential on a Particle in Uniform Temperature Environment......Page 196
3.1. Planar systems......Page 197
3.2. Cylindrical cavity......Page 198
4. Summary......Page 199
References......Page 200
1. Introduction......Page 201
2. Origin of Geothermal Casimir Phenomena......Page 203
3. Worldline Method for the Casimir Effect......Page 205
4.1. Inclined plates at zero temperature T = 0......Page 207
4.2. Inclined plates at finite temperature......Page 209
5. Conclusions......Page 213
References......Page 214
1. Introduction......Page 217
2. Casimir-Polder potential in global equilibrium......Page 218
3. Casimir-Polder potential for nonthermal states......Page 219
References......Page 221
1. Introduction......Page 222
2. Dissipative Plasmons at short distance......Page 223
3. Eddy currents......Page 224
References......Page 226
1. Introduction......Page 227
2. Review of Magnetic Properties......Page 229
3. Ferromagnetic Metals......Page 230
4. Ferromagnetic Dielectrics......Page 233
5. Vicinity of the Curie Temperature......Page 234
Acknowledgments......Page 235
References......Page 236
1. Introduction......Page 237
2. The Lifshitz Theory and the Nernst Heat Theorem......Page 238
3. The Nernst Heat Theorem in the Modifications of the Lifshitz Theory......Page 241
4. What Experiments Say and Is It Reliable......Page 243
5. What Statistical Physics Says......Page 245
6. Conclusions......Page 246
References......Page 247
1. Physical Meaning and Properties of the "Casimir Entropy"......Page 250
2. The Surface Entropy of a Metal in Condition of Anomalous Skin Effect......Page 253
3. Entropy of a Helium Film on a Solid Surface......Page 254
References......Page 256
1. Introduction......Page 257
2. Basic Formalism......Page 258
3. Two Parallel Metal Plates......Page 260
5. Atom Wall Geometry......Page 264
6. Summary......Page 265
References......Page 266
1. Introduction......Page 267
2. Finite temperature Casimir effect in spacetimes with extra dimensions......Page 268
References......Page 271
Casimir Forces for Real Materials......Page 8
1. Introduction......Page 272
2. Voigt and Faraday Configurations......Page 273
3. Reduction of the Casimir force with an external magnetic field......Page 275
Acknowledgments......Page 276
References......Page 277
1. Introduction......Page 278
2. QFT approach......Page 279
3. Lifshitz formula approach......Page 280
Acknowledgments......Page 281
References......Page 282
1. Introduction......Page 283
2.1. Casimir self-energy and its renormalization......Page 284
3. Interaction of two finite width mirrors......Page 285
3.2. Self-interaction limit......Page 286
References......Page 287
1. Introduction......Page 288
2. Simulation of the Silicon film......Page 289
3. The film dielectric tensor......Page 290
4. Calculation of the Casimir force......Page 291
References......Page 292
1. Introduction......Page 293
2.1. Motivation......Page 294
2.2. Lagrangian and conservation laws......Page 295
2.3. Normal modes and entropy......Page 297
2.4. Calculation of the entropy......Page 300
Acknowledgments......Page 301
References......Page 302
1. Introduction......Page 303
2. Theory of the Casimir effect for gratings geometries......Page 304
References......Page 311
1. Introduction......Page 312
2. The interaction of the surface plasmons......Page 313
References......Page 316
1. Introduction......Page 317
2. Theory......Page 318
3. Discussion......Page 319
References......Page 321
1. Introduction......Page 322
2. Formalism......Page 323
3. Thick- and thin-layer limits......Page 324
References......Page 326
Dynamical Casimir Effect......Page 9
1. Motivation......Page 327
2. Atom-Surface Interactions......Page 328
3. Frequency Dependent Dielectric Permittivity of Gold......Page 329
4. Numerical Results......Page 330
Acknowledgments......Page 333
References......Page 334
2. Nonperturbative access to scalar  fields......Page 335
 3. Results for a sinusoidal surface corrugation......Page 337
4. Conclusions......Page 338
References......Page 339
1. Introduction......Page 340
2. Graphene-Atom van der Waals Interaction......Page 342
3. Graphene-Graphene van der Waals Interaction......Page 345
4. Conclusions: Summary......Page 346
References......Page 349
1. Introduction......Page 351
2. The Casimir-Polder force between two accelerating atoms......Page 352
Acknowledgments......Page 355
References......Page 356
1. Introduction......Page 357
2. One-dimensional cavities with Robin BC......Page 358
3. Parallel plates in 3+1 dimensions with Robin BC......Page 363
4. Final comments......Page 365
References......Page 366
1. Introduction......Page 367
2. Josephson artificial atoms......Page 368
4. Nonadiabatic effect and squeezing......Page 369
References......Page 371
Heat Kernels and Spectral Determinants......Page 10
1. The critical Casimir effect......Page 372
2. Indirect evidence: Wetting  films......Page 373
3. Direct evidence and applications: Colloids......Page 374
References......Page 376
1. Introduction......Page 378
2. Simulation method......Page 380
3. Results......Page 381
References......Page 382
1. Introduction......Page 383
3. Holographic KS structure......Page 384
5. Pre-quantum uctuating KS geometry......Page 386
References......Page 387
1. Introduction......Page 388
2. Casimir Energy for Two Plates with Robin BCs......Page 390
3. The Varying Sign of the Casimir Force......Page 392
4. Horava-Lifshitz Cosmology in the Detailed Balance Case......Page 394
5. Horava-Lifshitz Cosmology with No Detailed Balance......Page 396
References......Page 398
Quantum Back Reaction to Asymptotically AdS Black Holes A. Flachi, K. Kashiyama, N. Tanahashi and T. Tanaka......Page 400
Acknowledgments......Page 404
References......Page 405
1. Introduction......Page 406
2. VEV of the field squared......Page 407
3. VEV of the energy-momentum tensor......Page 409
References......Page 410
1. The Cosmological Constant and Vacuum Energy......Page 411
2. Effective Field Theory and Anomalies......Page 415
3. The Axial Anomaly and Its Massless Pole......Page 417
4. The Trace Anomaly in Two Dimensions......Page 419
5. Massless Scalar Degrees of Freedom in 4D Gravity......Page 421
6. Dynamical Vacuum Energy......Page 424
7. Linear Response in de Sitter Space and Cosmological Horizon Modes......Page 426
References......Page 429
1. Introduction......Page 431
2. Definition of QBH......Page 432
3.1. Structure of space-time......Page 433
3.2. Infinite redshift......Page 434
4. Stresses in the static frame and mass formula......Page 435
5. Conclusion......Page 436
References......Page 437
1. Worldline formalism on manifolds with boundary......Page 438
1.1. Indirect contribution to the heat kernel trace......Page 440
1.2. Direct contribution to the heat kernel trace......Page 441
Acknowledgments......Page 442
References......Page 443
1. Introduction......Page 444
2. Graph Laplacian......Page 445
3. Results......Page 446
References......Page 448
1. Introduction......Page 449
2. Partial Wave Method......Page 450
3. Instanton determinant with m = 0......Page 451
4. Numerical values and asymptotic expansions: m = 0......Page 452
References......Page 453
1. Introduction......Page 454
3. Locality......Page 456
4. Numerical results......Page 457
References......Page 459
Field Theory in Backgrounds......Page 11
1. Introduction......Page 460
3. Negative Energy from Quantum Coherence Effects......Page 461
4. Quantum Inequalities......Page 463
5. Possible Experiments to Detect Negative Energy?......Page 464
6. Quantum Stress Tensor Fluctuations......Page 466
References......Page 468
1. Introduction......Page 470
2. Integral Kernels in Billiards and Cavities......Page 471
4. Paradox Present......Page 473
5. Paradox Future......Page 477
References......Page 479
1. Introduction......Page 480
2. Kink fluctuation dynamics......Page 482
3. Decaying boundary conditions......Page 483
4. Periodic boundary conditions......Page 484
5. Comparison and prospects......Page 485
References......Page 487
2. Massive non-linear S3-sigma model and topological kinks......Page 488
3. Spectral zeta function and kink mass quantum correction......Page 490
References......Page 492
1. Introduction......Page 493
2. Cylindrical nanotubes......Page 494
3. Toroidal nanotubes......Page 495
5. Conclusion......Page 496
References......Page 497
1. Introduction......Page 498
3. The Effective Action in Inhomogeneous Background Fields......Page 500
3.1. Dynamically Assisted Schwinger Mechanism......Page 501
3.2. Momentum spectra for sub-cycle pulse structure......Page 502
4. Worldline Instantons......Page 503
5. The Nambu Gauge......Page 504
6. Conclusions......Page 505
References......Page 506
1. Introduction......Page 508
2. Non-perturbative Heat Kernel Asymptotic Expansion......Page 509
3. One-Loop Effective Action and its Imaginary Part......Page 510
Acknowledgments......Page 513
References......Page 514
1. Introduction......Page 515
2. Quantum Kinetic Equation......Page 516
3. Quantum Statistics Effect......Page 517
4. Summary......Page 518
References......Page 519
1. Theoretical difficulties......Page 520
3. Klein-Gordon propagator......Page 521
5. Interaction of the electromagnetic field in two-particle formulation......Page 523
6. Finite size and lowest-order energy corrections......Page 524
7. Gaussian distribution......Page 525
8. Summary......Page 526
References......Page 527
1. Cvitanovic's conjecture for g-2 in QED......Page 528
2. The AAM conjecture......Page 529
3. Connection between the AAM and Cvitanovic conjectures......Page 530
4. Extension of the AAM conjecture to 1+1 QED......Page 532
5. Three loop Euler-Heisenberg Lagrangian in 1+1 QED......Page 533
References......Page 534
1. Introduction......Page 536
2. The Debye and magnetic masses......Page 537
3. Magnetic mass of Abelian  field on a lattice......Page 539
References......Page 540
1. Introduction......Page 541
2. Photon Formfactors in the 1-Loop QED......Page 543
3.  n Coefficients and the Origin of MA......Page 545
4. Appelquist and Carazzone Theorem......Page 548
5. Conclusions......Page 549
References......Page 550
1. Introduction......Page 551
2. Modified Dirac equation......Page 553
4. Results and discussion......Page 554
References......Page 555
Chiral Symmetry Breaking and Stability of the Magnetized Vacuum S.-Y. Wang......Page 556
References......Page 560
List of Participants......Page 561