Index
659
Discrete equations, 21–22
Discrete integrability
definition, 22
Discrete non-linear hierarchy (DNLS) models,
526–528
Discretized longitudinal momentum, 372
Dispersion function, 12
DM abundance, 421
DM decay, 422–424
DM interactions, 424
DM superfluid model, 438
Domain walls, 482
Double Field Theory, 414
Drinfeld–Sokolov boundary conditions, 392
Drinfeld–Sokolov scheme, 512
Dual map, 73
Dunkl operators, 8
Dzyaloshinskii–Moriya (DM), 531–535, 537,
538
E
Early universe cosmology, 411, 414
Early universe scenarios
bouncing cosmologies, 411
Ekpyrotic scenario, 411, 412
emergent scenario, 411
Hubble radius, 410
inflationary cosmology, 411
large field inflation, 412
matter bounce, 411
Pre-Big-Bang scenario, 411
quantum vacuum perturbations, 410
scalar field, 412
String Gas Cosmology, 411
trans-Planckian problem, 412
Edge modes, 372
Effective field theory, 413
Effective Hamiltonian, 266–267
Effective Hamiltonian with magnetic field, 267
Einstein equations, 465
Einstein gravity, 414, 415
Electrical resistivity, 312
Electric charge, 379
Electromagnetic gauge, 466
Electron motion, 265, 266
Electron-phonon coupling, 359, 360
Electron–phonon interaction (EPI)
first-principles, 309–311
intraband and interband couplings,
310–311
phonon-induced topological insulation,
308–309
in semiconductors, 308
and TPTs (see Topological phase transitions
(TPTs))
Electrostatics, 378
Electroweak phase transition (EWPT)
coherent oscillations, 422
cosmic history, 422
crossover temperature, 421
dark scalar dynamics, 418
Higgs-portal coupling, 418, 420
inflation, 419
phenomenology, 421
radiation era, 420
relativistic degrees of freedom, 421
thermal equilibrium, 422
Electroweak symmetry, 586
Eliashberg equation, 362–364
Emergence, 501–505
Emergent geometry
arbitrary bipartition, 349
dimer model, 351
EAM, 349, 351
entropy, 349
GHZ state, 351–352
graphical representation, 350
numerical computation, 352
rainbow state, 351
Venn diagrams, 350
von Neumann entropies, 348
Energy density, 482
Energy-momentum tensors, 450, 501, 505
Energy priori probability density, 504
Entanglement adjacency matrix (EAM), 349,
351, 352
Entanglement current, 354–355
Entanglement entropy
area-law, 349
entanglement contour function, 352–354
entanglement current, 354–355
Entropy, 32
Entropy density, 432
erfc gravitational potential, 500, 505, 506
Euclidean approach, 373
Legendre transformation, 376
longitudinal electric field, 376
magnetic and electric fields, 374
partition function, 375
planar conductors, 375
spherical capacitor, 375
time-independent solutions, 375
true extremum, 376
Euclidean black holes
angular momentum, 394
boundary conditions, 393
canonical, 393, 394, 396, 397
659
Discrete equations, 21–22
Discrete integrability
definition, 22
Discrete non-linear hierarchy (DNLS) models,
526–528
Discretized longitudinal momentum, 372
Dispersion function, 12
DM abundance, 421
DM decay, 422–424
DM interactions, 424
DM superfluid model, 438
Domain walls, 482
Double Field Theory, 414
Drinfeld–Sokolov boundary conditions, 392
Drinfeld–Sokolov scheme, 512
Dual map, 73
Dunkl operators, 8
Dzyaloshinskii–Moriya (DM), 531–535, 537,
538
E
Early universe cosmology, 411, 414
Early universe scenarios
bouncing cosmologies, 411
Ekpyrotic scenario, 411, 412
emergent scenario, 411
Hubble radius, 410
inflationary cosmology, 411
large field inflation, 412
matter bounce, 411
Pre-Big-Bang scenario, 411
quantum vacuum perturbations, 410
scalar field, 412
String Gas Cosmology, 411
trans-Planckian problem, 412
Edge modes, 372
Effective field theory, 413
Effective Hamiltonian, 266–267
Effective Hamiltonian with magnetic field, 267
Einstein equations, 465
Einstein gravity, 414, 415
Electrical resistivity, 312
Electric charge, 379
Electromagnetic gauge, 466
Electron motion, 265, 266
Electron-phonon coupling, 359, 360
Electron–phonon interaction (EPI)
first-principles, 309–311
intraband and interband couplings,
310–311
phonon-induced topological insulation,
308–309
in semiconductors, 308
and TPTs (see Topological phase transitions
(TPTs))
Electrostatics, 378
Electroweak phase transition (EWPT)
coherent oscillations, 422
cosmic history, 422
crossover temperature, 421
dark scalar dynamics, 418
Higgs-portal coupling, 418, 420
inflation, 419
phenomenology, 421
radiation era, 420
relativistic degrees of freedom, 421
thermal equilibrium, 422
Electroweak symmetry, 586
Eliashberg equation, 362–364
Emergence, 501–505
Emergent geometry
arbitrary bipartition, 349
dimer model, 351
EAM, 349, 351
entropy, 349
GHZ state, 351–352
graphical representation, 350
numerical computation, 352
rainbow state, 351
Venn diagrams, 350
von Neumann entropies, 348
Energy density, 482
Energy-momentum tensors, 450, 501, 505
Energy priori probability density, 504
Entanglement adjacency matrix (EAM), 349,
351, 352
Entanglement current, 354–355
Entanglement entropy
area-law, 349
entanglement contour function, 352–354
entanglement current, 354–355
Entropy, 32
Entropy density, 432
erfc gravitational potential, 500, 505, 506
Euclidean approach, 373
Legendre transformation, 376
longitudinal electric field, 376
magnetic and electric fields, 374
partition function, 375
planar conductors, 375
spherical capacitor, 375
time-independent solutions, 375
true extremum, 376
Euclidean black holes
angular momentum, 394
boundary conditions, 393
canonical, 393, 394, 396, 397