Index
497
Gluons, 50
charge conjugation for, 84
and nucleon momentum fraction, 313
scalar, 80–82
vector, 82–84
Goldberger–Treiman relation, 228, 230,
235–239
Goldstone
boson, 218, 227, 232, 240, 247
model, 198, 211–216
modes, 198, 211, 214–215, 223, 241–
244, 263–265
pion, 227, 230
theorem, 198, 208–211
Grassmann variables, 467–471
Gravity, Einstein’s theory of and gauge
theories, 462
Gross–Llewellyn Smith sum rule, 314
QCD corrections to, 314–315
Group
Abelian, 10, 435
continuous, 436
definition, 435
Lie, 8, 436–438
algebra of, 438
compact, 447–448
generators of, 437
and matrix representations, 443–
446
structure constants of, 14, 438,
445–446
non-Abelian, 10, 435
non-compact, 448
renormalization, see Renormalization,
group
theory, 435–452
GSW (Glashow–Salam–Weinberg) theory,
302–304, 308, 372–432
higher-order corrections in, 410–419
tree-level predictions in, 387–392
Hadron mass, in lattice QCD, 189–190
Hadron tensor, see Tensor, hadron
Heisenberg
ferromagnet, 200
and isospin, 5
picture, 162
Helicity
for antifermions, 32
of lepton in π decay, 236–237
suppression in V-A theory, 291, 293–
295
Hierarchy problem, 422
Higgs
boson, 267, 277, 381
decay, 427–429
fermion couplings, 403, 405, 478
mass, 381, 411, 414, 423–425, 430–
431
probable discovery, 429–431
production, 425–427
self-coupling, 421
tree-level mass, 381
and vacuum stability, 425
doublet, and ρ = 1, 414, 432–433
field, 264–267, 271, 380, 421
and fermion mass generation, 278–
279, 403–407
unphysical, 274, 278
vacuum value, 265, 275–276, 380,
384, 403
mechanism, 267, 278
model
Abelian, 264–278
non-Abelian, 275–278
sector of Standard Model, 216, 420–
431
Homomorphism, 436
between SU(2) and SO(3), 450–452
Hypercharge
hadronic, 20
weak, 380
Infrared
divergences, 102–105, 136, 140–141
slavery, 74
Instantons, 85, 232
Integrating out degrees of freedom, 173–
177
Intermediate vector boson (IVB) theory,
370–377
difficulties with, 371–376
Internal field, 202
Irrelevant coupling, 156, 179–181
and non-renormalizable interaction,
180–181
Isgur–Wise theory, 325
Ising model, 171, 174–176, 191
497
Gluons, 50
charge conjugation for, 84
and nucleon momentum fraction, 313
scalar, 80–82
vector, 82–84
Goldberger–Treiman relation, 228, 230,
235–239
Goldstone
boson, 218, 227, 232, 240, 247
model, 198, 211–216
modes, 198, 211, 214–215, 223, 241–
244, 263–265
pion, 227, 230
theorem, 198, 208–211
Grassmann variables, 467–471
Gravity, Einstein’s theory of and gauge
theories, 462
Gross–Llewellyn Smith sum rule, 314
QCD corrections to, 314–315
Group
Abelian, 10, 435
continuous, 436
definition, 435
Lie, 8, 436–438
algebra of, 438
compact, 447–448
generators of, 437
and matrix representations, 443–
446
structure constants of, 14, 438,
445–446
non-Abelian, 10, 435
non-compact, 448
renormalization, see Renormalization,
group
theory, 435–452
GSW (Glashow–Salam–Weinberg) theory,
302–304, 308, 372–432
higher-order corrections in, 410–419
tree-level predictions in, 387–392
Hadron mass, in lattice QCD, 189–190
Hadron tensor, see Tensor, hadron
Heisenberg
ferromagnet, 200
and isospin, 5
picture, 162
Helicity
for antifermions, 32
of lepton in π decay, 236–237
suppression in V-A theory, 291, 293–
295
Hierarchy problem, 422
Higgs
boson, 267, 277, 381
decay, 427–429
fermion couplings, 403, 405, 478
mass, 381, 411, 414, 423–425, 430–
431
probable discovery, 429–431
production, 425–427
self-coupling, 421
tree-level mass, 381
and vacuum stability, 425
doublet, and ρ = 1, 414, 432–433
field, 264–267, 271, 380, 421
and fermion mass generation, 278–
279, 403–407
unphysical, 274, 278
vacuum value, 265, 275–276, 380,
384, 403
mechanism, 267, 278
model
Abelian, 264–278
non-Abelian, 275–278
sector of Standard Model, 216, 420–
431
Homomorphism, 436
between SU(2) and SO(3), 450–452
Hypercharge
hadronic, 20
weak, 380
Infrared
divergences, 102–105, 136, 140–141
slavery, 74
Instantons, 85, 232
Integrating out degrees of freedom, 173–
177
Intermediate vector boson (IVB) theory,
370–377
difficulties with, 371–376
Internal field, 202
Irrelevant coupling, 156, 179–181
and non-renormalizable interaction,
180–181
Isgur–Wise theory, 325
Ising model, 171, 174–176, 191