THE INTERNATIONAL SERIES OF MONOGRAPHS ON PHYSICS ...

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degenerate, 397, 398, 410, 444 linear defect, 397, 404, 408, 410 point defect, 397 wall, 397, 398, 400, 401, 403, 404, 424, 426–431, 444 vortex Abrikosov vortex, 187, 191, 192, 217, 218, 275, 374 Alice string, 194 Anderson–Toulouse–Chechetkin vortex, 199, 201 continuous vortex, 36, 199–202, 205–208, 213, 214, 216, 219, 221, 226, 228, 246, 304, 308, 312, 314, 317, 331, 332 dipole-locked, 202, 206 dipole-unlocked, 206 double-skyrmion vortex, 206, 213 doubly quantized, 170, 202, 204, 217, 228, 245 fractional, 185, 189, 191, 194, 211, 217 half-quantum vortex, 82, 94, 174, 185, 189, 190, 194, 195, 198, 206, 212, 220, 229, 299, 409 mass vortex, 165, 167, 168, 170, 178, 185, 186, 189, 225, 230, 357 Mermin–Ho vortex, 204, 207, 226, 228 multiply quantized, 348 point vortex, 221, 291 in momentum space, 93 ring, 60, 329–331, 336 black hole analogy, 458 collective coordinates, 333, 336, 338 critical, 330 energy, 328, 329 energy spectrum, 328 Landau criterion, 329 macroscopic quantum tunneling, 330, 331, 333, 336, 338 momentum, 328, 336 nucleation, 330, 338 sphaleron, 330, 331, 458 thermal activation, 330, 331 spin vortex, 166–170, 189, 195, 197, 199, 206, 224, 230, 357 spin–mass vortex, 80, 166, 168, 170, 189, 197, 206, 212, 226, 357 vortex cluster, 165, 167, 170, 171, 179, 352, 354, 355, 423, 445 vortex loop, 199, 306, 330, 337, 356 bosonic zero mode, 336 destroying soliton, 199 in momentum space, 89, 93 vortex pair, 165, 170, 351 vortex tangle, 243, 352, 362 INDEX 507 vortex-skyrmion, 159, 199–207, 213, 214, 219, 221, 228, 229, 245–248, 304, 308, 309, 312, 314, 317, 331, 332 vortex sheet at AB-interface, 228, 340, 348 in 3+1 spacetime, 89 in A-phase, 194, 206–210 in momentum space, 104 in superconductors, 194, 211 unstable, 209, 339, 340, 363 vorton, 180 W-parity, 292, 296, 297, 299, 300 definition, 292 zero-point energy, 12, 13, 24–27, 29–31, 71, 73, 371, 380, 464 fluctuations, 30, 392 motion, 24, 27, 29, 58, 461 oscillations, 20, 27, 57
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THE INTERNATIONAL SERIES OF MONOGRA
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The Universe in a Helium Droplet GR
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FOREWORD It is often said that the
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CONTENTS 1 Introduction: GUT and an
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7.3 Vacuum energy of weakly interac
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10.5.6 Origin of precision of symme
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15.2.5 Nielsen-Olesen string vs Abr
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21.1 Spin and statistics of skyrmio
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xvii 26.3.1 Landau criterion for vo
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31.2.5 Vortex as gravimagnetic flux
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2 INTRODUCTION: GUT AND ANTI-GUT Bi
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4 INTRODUCTION: GUT AND ANTI-GUT in
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6 INTRODUCTION: GUT AND ANTI-GUT Th
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8 with Fermi points. Using these mo
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2 GRAVITY Since we are interested i
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VACUUM ENERGY AND COSMOLOGICAL TERM
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VACUUM ENERGY AND COSMOLOGICAL TERM
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3 MICROSCOPIC PHYSICS OF QUANTUM LI
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THEORY OF EVERYTHING IN QUANTUM LIQ
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WEAKLY INTERACTING BOSE GAS 21 3.2
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WEAKLY INTERACTING BOSE GAS 23 3.2.
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WEAKLY INTERACTING BOSE GAS 25 In t
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FROM BOSE GAS TO BOSE LIQUID 27 The
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FROM BOSE GAS TO BOSE LIQUID 29 mc
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FROM BOSE GAS TO BOSE LIQUID 31 mod
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SUPERFLUID VACUUM AND QUASIPARTICLE
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SUPERFLUID VACUUM AND QUASIPARTICLE
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NORMAL COMPONENT - ‘MATTER’ 37
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ENERGY-MOMENTUM TENSOR FOR ‘MATTE
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LOCAL THERMAL EQUILIBRIUM 45 motion
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LOCAL THERMAL EQUILIBRIUM 47 As bef
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GLOBAL THERMODYNAMIC EQUILIBRIUM 49
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6 ADVANTAGES AND DRAWBACKS OF EFFEC
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NON-LOCALITY IN EFFECTIVE THEORY 53
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NON-LOCALITY IN EFFECTIVE THEORY 55
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EFFECTIVE VS MICROSCOPIC THEORY 57
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SUPERFLUIDITY AND UNIVERSALITY 59 i
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SUPERFLUIDITY AND UNIVERSALITY 61 d
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Part II Quantum fermionic liquids
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66 MICROSCOPIC PHYSICS Pressure (ba
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68 MICROSCOPIC PHYSICS Such a struc
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70 MICROSCOPIC PHYSICS the vector p
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72 MICROSCOPIC PHYSICS ˆm 2 = ˆn
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74 MICROSCOPIC PHYSICS term. The cu
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76 MICROSCOPIC PHYSICS for weakly i
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78 MICROSCOPIC PHYSICS to pF . (Not
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80 MICROSCOPIC PHYSICS mc 2 ≫|µ|
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82 MICROSCOPIC PHYSICS axis ˆzi (o
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84 MICROSCOPIC PHYSICS symmetry of
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8 UNIVERSALITY CLASSES OF FERMIONIC
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88 UNIVERSALITY CLASSES OF FERMIONI
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100 UNIVERSALITY CLASSES OF FERMION
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106 EFFECTIVE QUANTUM ELECTRODYNAMI
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10 THREE LEVELS OF PHENOMENOLOGY OF
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120 THREE LEVELS OF PHENOMENOLOGY 1
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122 THREE LEVELS OF PHENOMENOLOGY t
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124 THREE LEVELS OF PHENOMENOLOGY L
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126 THREE LEVELS OF PHENOMENOLOGY F
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128 THREE LEVELS OF PHENOMENOLOGY s
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130 THREE LEVELS OF PHENOMENOLOGY m
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132 THREE LEVELS OF PHENOMENOLOGY 1
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134 THREE LEVELS OF PHENOMENOLOGY W
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136 MOMENTUM SPACE TOPOLOGY OF 2+1
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144 MOMENTUM SPACE TOPOLOGY PROTECT
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156 violated at very low energy. Pr
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13 TOPOLOGICAL CLASSIFICATION OF DE
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DEFECTS AND HOMOTOPY GROUPS 161 (3.
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ANALOGOUS ‘SUPERFLUID’ PHASES I
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14 VORTICES IN 3 He-B 14.1 Topology
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TOPOLOGY OF DEFECTS IN B-PHASE 167
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ξ D soft core of soliton TOPOLOGY
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SYMMETRY OF DEFECTS 171 cluster, wh
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SYMMETRY OF DEFECTS 173 of rotation
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Δ ⊥ = Δ II B-phase SYMMETRY OF
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SYMMETRY OF DEFECTS 177 One finds t
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BROKEN SYMMETRY IN B-PHASE VORTEX C
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BROKEN SYMMETRY IN B-PHASE VORTEX C
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A-PHASE AND ANALOGOUS PHASES IN HIG
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SINGULAR DEFECTS IN A-PHASE 185 cor
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SINGULAR DEFECTS IN A-PHASE 187 Ano
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FRACTIONAL VORTICITY AND FRACTIONAL
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16 CONTINUOUS STRUCTURES 16.1 Hiera
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HIERARCHY OF ENERGY SCALES AND RELA
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CONTINUOUS VORTICES, SKYRMIONS AND
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soliton d ≈ constant VORTEX SHEET
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VORTEX SHEET 209 velocity v n = Ω
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VORTEX SHEET 211 building blocks fo
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2-nd bound state in vortex core sat
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`t Hooft-Polyakov magnetic monopole
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MONOPOLES TERMINATING STRINGS 217 c
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DEFECTS AT SURFACES 219 Bulk R=G/H
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DEFECTS ON INTERFACE BETWEEN DIFFER
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231 E(x 0) = n ¯h2 (∇Φ) 8m 2 +
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Part IV Anomalies of chiral vacuum
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236 ANOMALOUS NON-CONSERVATION OF F
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252 ANOMALOUS CURRENTS state with e
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254 ANOMALOUS CURRENTS It describes
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256 ANOMALOUS CURRENTS Fhypermagn =
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258 ANOMALOUS CURRENTS counterflow:
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20 MACROSCOPIC PARITY-VIOLATING EFF
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262 MACROSCOPIC PARITY-VIOLATING EF
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264 MACROSCOPIC PARITY-VIOLATING EF
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21 QUANTIZATION OF PHYSICAL PARAMET
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268 QUANTIZATION OF PHYSICAL PARAME
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270 QUANTIZATION OF PHYSICAL PARAME
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272 symmetry-protected invariants c
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22 EDGE STATES AND FERMION ZERO MOD
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INDEX THEOREM FOR FERMION ZERO MODE
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3+1 WORLD OF FERMION ZERO MODES 283
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ANOMALOUS BRANCH OF CHIRAL FERMIONS
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FERMION ZERO MODES IN QUASICLASSICA
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REAL SPACE AND MOMENTUM SPACE TOPOL
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REAL SPACE AND MOMENTUM SPACE TOPOL
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24 VORTEX MASS 24.1 Inertia of obje
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FERMION ZERO MODES AND VORTEX MASS
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ASSOCIATED HYDRODYNAMIC MASS OF A V
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ASSOCIATED HYDRODYNAMIC MASS OF A V
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ANALOG OF CALLAN-HARVEY MECHANISM 3
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RESTRICTED SPECTRAL FLOW IN THE VOR
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RESTRICTED SPECTRAL FLOW IN THE VOR
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Part VI Nucleation of quasiparticle
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322 LANDAU CRITICAL VELOCITY moving
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324 LANDAU CRITICAL VELOCITY trivia
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326 LANDAU CRITICAL VELOCITY electr
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328 LANDAU CRITICAL VELOCITY Δ 0
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330 LANDAU CRITICAL VELOCITY E ~ in
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332 LANDAU CRITICAL VELOCITY n 1 -1
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334 LANDAU CRITICAL VELOCITY S = d
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336 LANDAU CRITICAL VELOCITY E=0 E
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338 LANDAU CRITICAL VELOCITY vortex
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340 VORTEX FORMATION BY KELVIN-HELM
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352 VORTEX FORMATION IN IONIZING RA
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366
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29 CASIMIR EFFECT AND VACUUM ENERGY
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ANALOG OF STANDARD CASIMIR EFFECT I
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INTERFACE BETWEEN TWO DIFFERENT VAC
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INTERFACE BETWEEN TWO DIFFERENT VAC
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FORCE ON MOVING INTERFACE 377 29.3
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FORCE ON MOVING INTERFACE 379 If th
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VACUUM ENERGY AND COSMOLOGICAL CONS
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MESOSCOPIC CASIMIR FORCE 391 The me
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MESOSCOPIC CASIMIR FORCE 393 import
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MESOSCOPIC CASIMIR FORCE 395 In sup
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30 TOPOLOGICAL DEFECTS AS SOURCE OF
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SURFACE OF INFINITE RED SHIFT 399 W
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SURFACE OF INFINITE RED SHIFT 401 w
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SURFACE OF INFINITE RED SHIFT 403
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CONICAL SPACE AND ANTIGRAVITATING S
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SAGNAC EFFECT USING SUPERFLUIDS 407
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VORTEX, SPINNING STRING AND LENSE-T
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VORTEX, SPINNING STRING AND LENSE-T
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GRAVITATIONAL AB EFFECT AND IORDANS
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GRAVITATIONAL AB EFFECT AND IORDANS
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QUANTUM FRICTION IN ROTATING VACUUM
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EVENT HORIZONS IN VIERBEIN WALL AND
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PAINLEVÉ-GULLSTRAND METRIC IN SUPE
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HORIZON AND SINGULARITY ON AB-BRANE
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HORIZON AND SINGULARITY ON AB-BRANE
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v sA =0 region of Kelvin- Helmholtz
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FROM ‘ACOUSTIC’ BLACK HOLE TO
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FROM ‘ACOUSTIC’ BLACK HOLE TO
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Page 480 and 481: 33 CONCLUSION According to the mode
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Page 484 and 485: CONCLUSION 465 Casimir forces that
Page 486 and 487: CONCLUSION 467 Fermi systems in the
Page 488 and 489: REFERENCES Abrikosov A. A. (1957).
Page 490 and 491: REFERENCES 471 Axenides M., Perivol
Page 492 and 493: REFERENCES 473 1582-1585. Callan C.
Page 494 and 495: REFERENCES 475 Duan J. M. (1994).
Page 496 and 497: REFERENCES 477 Hagen C. R. (2000).
Page 498 and 499: REFERENCES 479 Jackiw R. and Rebbi
Page 500 and 501: REFERENCES 481 Kopnin N. B. (2001).
Page 502 and 503: REFERENCES 483 Linde A. (1990). Par
Page 504 and 505: REFERENCES 485 Murakami S., Nagaosa
Page 506 and 507: REFERENCES 487 Pogosian L. and Vach
Page 508 and 509: REFERENCES 489 Schwarz A. S. and Ty
Page 510 and 511: REFERENCES 491 Toulouse G. (1979).
Page 512 and 513: REFERENCES 493 Volovik G. E. (1996)
Page 514 and 515: REFERENCES 495 Ying S. (1998). ‘T
Page 516 and 517: emergence of, 5, 106, 109 generaliz
Page 518 and 519: gravitational A-B effect, 318 helic
Page 520 and 521: as quantum tunneling, 440, 441 hedg
Page 522 and 523: tensor, 45 obsever external, 429, 4
Page 524 and 525: in RQFT, 241, 248 in toroidal chann
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