Index
663
gravitational effects, 468
gravito-electric field, 470
instantaneous propagation, 470
Newtonian limit, 468
perturbation, 469
power series, 469
quadrupole moment, 471
retarded time, 468, 469
time dependent, 471
Lagrangian BRST, 372
Lagrangian density, 418
Lagrangian formulation, 452
Lamperti transform, 523
Landau coefficients, 361
Landau gauge, 319, 324, 341
Landau paradigm, 337
Laplace–Beltrami operator, 112, 172
Laplace transform method, 104–107
Largest-in-absolute-value eigenvalue, 365
Lattice gauge theory
language, 338
quantum antiferromagnets, 338
U (1), 338
Lattice-polytopes
Brion formula, 287–290
Demazure character formulas, 288,
291–293
Lax–Darboux equations, 514, 516, 517
Lax pairs, 23
ΛCDM model
baryonic feedback effects, 438
cosmological observations, 437
growth of structures, 444
Hubble parameter, 442
late-time acceleration, 441
observational implications, 444
vortices, 445
Left-and right-handed fermions, 586
Left-right symmetric models (LRSMs), 585,
586
Leptogenesis
CP parameter, 609
CPT conservation, 608
CP violation, 610
decay processes, 608
final baryon asymmetry, 612
flavor enhancement, 610–611
Higgs portal, 608
SM and mirror sector, 609
SM sector, 607
Leptophobic Z in supersymmetry
ATLAS collaboration, 557–559
CMS collaboration, 558
dijet resonances, 557
Drell–Yan modes, 560
heavy neutral vector bosons, LHC, 557
heavy particle spectrum, 559
Higgs sector, 559
high-mass dijet searches, 561
MSSM, 558
NLO, 559
production cross section and dijet branching
ratio, 561
SM, 557
squared mass, 559
UMSSM, 558–560, 564
Leptoquark (LQ), 580
Lewis and Riesenfeld approach, 302
LHC, 557, 594
LHCb, 579
Lie algebra, 391, 392
Lie algebra spin, 39
Lie characters
Brion lattice-polytope sum formula,
289–290
and lattice-polytope sums, 287
polytope expansion, 287, 290
Weyl character formula, 287–289
Lienard–Wiechert potentials, 467
LIGO sensitivity zone, 473
LIGO-type experiment, 473
Linear Algebra Intermezzo
generalizes quasideterminant, 190
identity notation, 190
setup, 189, 190
Linear radial gravitational field, 505
Line-node superconductor, 363
Littlewood–Richardson rule, 288
Lorentz force, 323
Lorentzian signature, 397
Lorentz invariant, 340
Lorentz-invariant fermion bilinears, 343
Lorentz-like force, 467
Low-energy QED 3 theory, 340
Luttinger semimetals, 362–364
M
Magnetars, 568–573
Magnetic field
anisotropic 2D Dirac Hamiltonian,
318–319
and anisotropy, 318
bilayer graphene, 266–268
definition, 319
effective Hamiltonian, 267
and time-dependent electric, 296
Magnetic skyrme models, 533–534
663
gravitational effects, 468
gravito-electric field, 470
instantaneous propagation, 470
Newtonian limit, 468
perturbation, 469
power series, 469
quadrupole moment, 471
retarded time, 468, 469
time dependent, 471
Lagrangian BRST, 372
Lagrangian density, 418
Lagrangian formulation, 452
Lamperti transform, 523
Landau coefficients, 361
Landau gauge, 319, 324, 341
Landau paradigm, 337
Laplace–Beltrami operator, 112, 172
Laplace transform method, 104–107
Largest-in-absolute-value eigenvalue, 365
Lattice gauge theory
language, 338
quantum antiferromagnets, 338
U (1), 338
Lattice-polytopes
Brion formula, 287–290
Demazure character formulas, 288,
291–293
Lax–Darboux equations, 514, 516, 517
Lax pairs, 23
ΛCDM model
baryonic feedback effects, 438
cosmological observations, 437
growth of structures, 444
Hubble parameter, 442
late-time acceleration, 441
observational implications, 444
vortices, 445
Left-and right-handed fermions, 586
Left-right symmetric models (LRSMs), 585,
586
Leptogenesis
CP parameter, 609
CPT conservation, 608
CP violation, 610
decay processes, 608
final baryon asymmetry, 612
flavor enhancement, 610–611
Higgs portal, 608
SM and mirror sector, 609
SM sector, 607
Leptophobic Z in supersymmetry
ATLAS collaboration, 557–559
CMS collaboration, 558
dijet resonances, 557
Drell–Yan modes, 560
heavy neutral vector bosons, LHC, 557
heavy particle spectrum, 559
Higgs sector, 559
high-mass dijet searches, 561
MSSM, 558
NLO, 559
production cross section and dijet branching
ratio, 561
SM, 557
squared mass, 559
UMSSM, 558–560, 564
Leptoquark (LQ), 580
Lewis and Riesenfeld approach, 302
LHC, 557, 594
LHCb, 579
Lie algebra, 391, 392
Lie algebra spin, 39
Lie characters
Brion lattice-polytope sum formula,
289–290
and lattice-polytope sums, 287
polytope expansion, 287, 290
Weyl character formula, 287–289
Lienard–Wiechert potentials, 467
LIGO sensitivity zone, 473
LIGO-type experiment, 473
Linear Algebra Intermezzo
generalizes quasideterminant, 190
identity notation, 190
setup, 189, 190
Linear radial gravitational field, 505
Line-node superconductor, 363
Littlewood–Richardson rule, 288
Lorentz force, 323
Lorentzian signature, 397
Lorentz invariant, 340
Lorentz-invariant fermion bilinears, 343
Lorentz-like force, 467
Low-energy QED 3 theory, 340
Luttinger semimetals, 362–364
M
Magnetars, 568–573
Magnetic field
anisotropic 2D Dirac Hamiltonian,
318–319
and anisotropy, 318
bilayer graphene, 266–268
definition, 319
effective Hamiltonian, 267
and time-dependent electric, 296
Magnetic skyrme models, 533–534