658
Index
Coulombic binding energy, 553
Coulomb potential, 360
Coulomb repulsion
critical temperature, 361
electronic, 360
electrons, 365
Luttinger semimetal, 366
quadratic band structure, 362
superconducting pairing, 359
Coxeter–Dynkin diagrams, 293
Critical exponents
and NJL model, 341–342
and VBS (see Valence-bond solid (VBS))
D
Darboux–Bäcklund transformations, 41–42,
529
spin groups, 42–44
Darboux-dressing scheme, 512
Darboux-dressing transformations, 514, 519
Darboux matrix, 516
‘Dark ages’, 457
Dark energy (DE), 413
cosmic magnetic fields, 482, 486–487
cosmological constant, 482
cosmological energy budget, 482
domain walls, 482
minimal model, 485–486
Dark matter (DM), 481, 567
EWPT (see Electroweak phase transition
(EWPT))
hydrodynamical limit, 437
non-minimal coupling, 418
oscillating scalar field, 418
particles, 427
scalar’s self-coupling, 418
superfluid (see Superfluid dark matter)
U(1) gauge symmetry, 418
Universe’s energy density content, 417
WIMPs, 417
Dark scalar field model, 423
Data-driven framework, 458
Decoherence rate, 638
Deep-MOND expression, 440
Demazure character formulas
and Demazure operators, 287, 290–291
lattice-polytope formulas, 288, 291–293
lattice sums, 290
physical applications, 288
Demazure operators, 287, 290–293
Density-functional perturbation theory
(DFPT), 312
Density-functional theory (DFT), 312
Density inhomogeneities
background density, 443
BEC DM superfluids, 442
fluid density, 442
FRW, 442
matter-radiation equality, 442
Newtonian hydrodynamical equations, 443
perturbations, 441, 443
superfluid species, 443
Desingularisation pattern, 2D, 27
de Sitter quantum fluctuations, 419
de Sitter space time, 543
Einstein equations, 476
mass, 476
negative mass, 476
stable negative mass de sitter bubbles,
477–478
thin wall bubbles, 476–477
de Sitter vacua
D3-branes, 447
inflationary evolution, 447
string theory, 448–453
UV complete theory, 447
Dielectric function, 360, 363
Difference equations, 68
Differential-difference equation, 68, 71
Dijet resonances, 557
Dimensional analysis, 502
Dimer model, 351
Dirac delta function, 544, 546
Dirac equation, 265
Dirac materials, 265
Dirac matrices, 340
Dirac neutrinos, 176
Dirac nodes, 339
Dirac operator, 330
Dirac spin liquid (DSL)
confinement, 327–329
confinement–deconfinement transition,
329
coplanar antiferromagnet, 329
phase transition, 329
stability, 328
Dirichlet conditions, 377
Dirichlet energy, 531
Discrete curve flows
differential-difference mKdV equation,
157
Euclidean plane, 157
geometric flows, 163
invariant linearization, 163, 164
recurrence relations
exterior derivative, 161, 162
shift map, 162, 163
Index
Coulombic binding energy, 553
Coulomb potential, 360
Coulomb repulsion
critical temperature, 361
electronic, 360
electrons, 365
Luttinger semimetal, 366
quadratic band structure, 362
superconducting pairing, 359
Coxeter–Dynkin diagrams, 293
Critical exponents
and NJL model, 341–342
and VBS (see Valence-bond solid (VBS))
D
Darboux–Bäcklund transformations, 41–42,
529
spin groups, 42–44
Darboux-dressing scheme, 512
Darboux-dressing transformations, 514, 519
Darboux matrix, 516
‘Dark ages’, 457
Dark energy (DE), 413
cosmic magnetic fields, 482, 486–487
cosmological constant, 482
cosmological energy budget, 482
domain walls, 482
minimal model, 485–486
Dark matter (DM), 481, 567
EWPT (see Electroweak phase transition
(EWPT))
hydrodynamical limit, 437
non-minimal coupling, 418
oscillating scalar field, 418
particles, 427
scalar’s self-coupling, 418
superfluid (see Superfluid dark matter)
U(1) gauge symmetry, 418
Universe’s energy density content, 417
WIMPs, 417
Dark scalar field model, 423
Data-driven framework, 458
Decoherence rate, 638
Deep-MOND expression, 440
Demazure character formulas
and Demazure operators, 287, 290–291
lattice-polytope formulas, 288, 291–293
lattice sums, 290
physical applications, 288
Demazure operators, 287, 290–293
Density-functional perturbation theory
(DFPT), 312
Density-functional theory (DFT), 312
Density inhomogeneities
background density, 443
BEC DM superfluids, 442
fluid density, 442
FRW, 442
matter-radiation equality, 442
Newtonian hydrodynamical equations, 443
perturbations, 441, 443
superfluid species, 443
Desingularisation pattern, 2D, 27
de Sitter quantum fluctuations, 419
de Sitter space time, 543
Einstein equations, 476
mass, 476
negative mass, 476
stable negative mass de sitter bubbles,
477–478
thin wall bubbles, 476–477
de Sitter vacua
D3-branes, 447
inflationary evolution, 447
string theory, 448–453
UV complete theory, 447
Dielectric function, 360, 363
Difference equations, 68
Differential-difference equation, 68, 71
Dijet resonances, 557
Dimensional analysis, 502
Dimer model, 351
Dirac delta function, 544, 546
Dirac equation, 265
Dirac materials, 265
Dirac matrices, 340
Dirac neutrinos, 176
Dirac nodes, 339
Dirac operator, 330
Dirac spin liquid (DSL)
confinement, 327–329
confinement–deconfinement transition,
329
coplanar antiferromagnet, 329
phase transition, 329
stability, 328
Dirichlet conditions, 377
Dirichlet energy, 531
Discrete curve flows
differential-difference mKdV equation,
157
Euclidean plane, 157
geometric flows, 163
invariant linearization, 163, 164
recurrence relations
exterior derivative, 161, 162
shift map, 162, 163