Index
661
Gauged and ungauged NJL models, 32
Gauged sigma models
Bogomol’nyi equation, 534–536
boundary, 535
magnetic skyrme models, 533–534
Gauge-field propagator, 341
Gauge invariance, 92, 96
Gauge-invariant operators, 340
Gauge theory, 245–250, 327, 328
BV construction, 249
and dualities, 332
and finite spectral triples, 246–248
lattice, 338, 342
and quantum field theory, 245
Gaussian distribution, 261
Gaussian Klauder states, 256
Gaussian pieces, 451
Geometric flows
arc-length parametrized discrete curves,
164, 166
arc-length preserving flow, 167
invariant linearization operator, 165
Geometry
definition, 348
emergent geometry, 348–352
entanglement contour function, 352–354
entanglement current, 354–355
G-flux ansatz, 451
G-flux components, 450, 451
Ghost field, 248–249
GHZ state, 351–352
Gibbons–Hawking contribution, 379, 380
Gluon fusion signals, 604
Good relic density, 433
Grand canonical ensemble, 395
Grand Unified Scheme, 557
Graphene, 317
Grassmannian sigma models, 91
Grassmannian variables, 250
Gravitation, 501–505
Gravitational charge, 467
Gravitational potential, 505
Gravitational theories, 389
Gravito-electromagnetism, 465, 472
Gravity, 499
Green function, 466
Green’s function, 309, 637
Gross–Neveu (GN) model
cHGN, 329
SU(2N)-symmetric, 332
type interaction, 329
Ground state
non-interacting model, 348
zero energy, 269
H
Hagedorn phase, 411
Haldane–Shastry (HS) spin chain, 3, 6
chain sites, 10
partition functions, 11–12
scalar potential, 9
Half-Heusler YPtBi, 362
Halo-model framework, 458
Hamiltonian, 338–339, 360
Hamiltonian BRST operator quantization,
372
Hamiltonian derivation, 395
Hamiltonian operator, 295
Harmonic oscillator
and Bohr atom, 170
CSs, 318
1D, 256–257
quantum, 124
state vectors, 229
and SUSY partners, 247
and Sutherland model, 147
2D isotropic, 255
Harrison–Zeldovich spectrum, 545
Hartree atomic unit system, 309
Heavy diquark and quark spin flavor symmetry
Lorentz invariant form factors, 551
Λ QCD , 549
Λ QCD/mc,b , 551
meson/baryon, 549
1/mQ expansion, 549, 550
NLO vs. NNLO chiral-continuum fits, 552
pseudoscalar meson, 550
QCD, 549, 550
TQQ.q .q tetraquark, 552–554
Heisenberg uncertainty principle, 257
Heisenberg–Weyl (HW) algebra, 318
Helicity operator, 365
Hellmann–Feynman theorem, 363
Helmholtz decomposition, 377
Helstrom’s theorem, 623
Hermite polynomials, 258, 270, 297
Hermitian matrices, 340, 341
Hierarchy of SDEs, 522
Higgs annihilation, 422
Higgs boson, 422, 424
Higgs coupling, 598
loop functions, 600
Yukawa coupling matrices, 601
Higgs mechanism, 418
Higgs-portal coupling, 424
Higgs-portal scalar field DM, 424
Higgs production mechanism, 603
Higher dimensional consistency, 22
Higher-rank projectors, 61
661
Gauged and ungauged NJL models, 32
Gauged sigma models
Bogomol’nyi equation, 534–536
boundary, 535
magnetic skyrme models, 533–534
Gauge-field propagator, 341
Gauge invariance, 92, 96
Gauge-invariant operators, 340
Gauge theory, 245–250, 327, 328
BV construction, 249
and dualities, 332
and finite spectral triples, 246–248
lattice, 338, 342
and quantum field theory, 245
Gaussian distribution, 261
Gaussian Klauder states, 256
Gaussian pieces, 451
Geometric flows
arc-length parametrized discrete curves,
164, 166
arc-length preserving flow, 167
invariant linearization operator, 165
Geometry
definition, 348
emergent geometry, 348–352
entanglement contour function, 352–354
entanglement current, 354–355
G-flux ansatz, 451
G-flux components, 450, 451
Ghost field, 248–249
GHZ state, 351–352
Gibbons–Hawking contribution, 379, 380
Gluon fusion signals, 604
Good relic density, 433
Grand canonical ensemble, 395
Grand Unified Scheme, 557
Graphene, 317
Grassmannian sigma models, 91
Grassmannian variables, 250
Gravitation, 501–505
Gravitational charge, 467
Gravitational potential, 505
Gravitational theories, 389
Gravito-electromagnetism, 465, 472
Gravity, 499
Green function, 466
Green’s function, 309, 637
Gross–Neveu (GN) model
cHGN, 329
SU(2N)-symmetric, 332
type interaction, 329
Ground state
non-interacting model, 348
zero energy, 269
H
Hagedorn phase, 411
Haldane–Shastry (HS) spin chain, 3, 6
chain sites, 10
partition functions, 11–12
scalar potential, 9
Half-Heusler YPtBi, 362
Halo-model framework, 458
Hamiltonian, 338–339, 360
Hamiltonian BRST operator quantization,
372
Hamiltonian derivation, 395
Hamiltonian operator, 295
Harmonic oscillator
and Bohr atom, 170
CSs, 318
1D, 256–257
quantum, 124
state vectors, 229
and SUSY partners, 247
and Sutherland model, 147
2D isotropic, 255
Harrison–Zeldovich spectrum, 545
Hartree atomic unit system, 309
Heavy diquark and quark spin flavor symmetry
Lorentz invariant form factors, 551
Λ QCD , 549
Λ QCD/mc,b , 551
meson/baryon, 549
1/mQ expansion, 549, 550
NLO vs. NNLO chiral-continuum fits, 552
pseudoscalar meson, 550
QCD, 549, 550
TQQ.q .q tetraquark, 552–554
Heisenberg uncertainty principle, 257
Heisenberg–Weyl (HW) algebra, 318
Helicity operator, 365
Hellmann–Feynman theorem, 363
Helmholtz decomposition, 377
Helstrom’s theorem, 623
Hermite polynomials, 258, 270, 297
Hermitian matrices, 340, 341
Hierarchy of SDEs, 522
Higgs annihilation, 422
Higgs boson, 422, 424
Higgs coupling, 598
loop functions, 600
Yukawa coupling matrices, 601
Higgs mechanism, 418
Higgs-portal coupling, 424
Higgs-portal scalar field DM, 424
Higgs production mechanism, 603
Higher dimensional consistency, 22
Higher-rank projectors, 61