498
Index
Isomorphism, 436, 450–452
Isospin
analysis
in B meson oscillations, 342–345
in K decays, 348
for antiparticles, 15–16
in nuclear physics, 3, 5–6, 12–14
in particle physics, 14–18
weak, 4, 40–41, 47, 378–382
Isospinor, nucleon, 6
Isotopic spin, 11
Jacobian, in kinematics of W production,
397–399
Jacobi identity, 446
Jarlskog invariant, 320–321, 357
Jet algorithms, 107–108
JADE, 108
kt, 108
Jet trigger, 88–89
Jets, 87–108
Kinoshita–Lee–Nauenberg theorem, 105–
106
Kobayashi–Maskawa CP analysis, 318–
319, 345
K
0 K ¯ 0
-
oscillations, 325
Lagrangian
effective, 239–248
and renormalizability, 244–245
gauge-fixing term in, 52, 61–62
ghost term in, 69–70
Goldstone model, 211–213
π-N vertex in, 30, 238
QCD, 83
quantum field theory
global symmetries in, 24–37
local symmetries in, 51–70
and Noether’s theorem, 28
σ-model
linear, 239–243
non-linear, 243–245
SU(2)-invariant
global, 24–30
local, 45–49
SU(3)-invariant
global, 31–32
local, 49–51
SU(2)× U(1) Higgs, 275–278
symmetry-breaking, 212–213, 217,
264, 275
θ-term in, 84–86
U(1) Higgs, 264
Yang-Mills, 49–51, 59–60
Yukawa (fermion mass-generating),
403–405
Λ L, 183–184
ΛMS , 466
, 127–128
Λ MS
ΛQCD, 126–127
Landau theory, of second-order phase transitions, 202, 214
Large logarithms, 116–118
Lattice field theory, 151–170
and chiral symmetry breaking, 156–
158
and gauge invariance, 158–161
regularization in, 151–152
renormalization in, and RGE, 172–
182
and statistical mechanics, 152, 171–
172
Leading log corrections, 123
Leptogenesis, 353
Lepton flavour, 295, 303, 352
Lepton number, 293–296, 406
Lepton tensor, see Tensor, lepton
Lie algebra, see Algebra, Lie
Link variable, 159
London equation, 262
London gauge, 267
Longitudinal polarization state, for massive vector particles, 258–259,
266, 372
coupling to Higgs field component,
266
scattering of, 372–373
Lorentz group, 447–449
Macroscopic wavefunction, 261, 268
Magnetic moment, ambiguous for charged
spin-1 particle, 54
Majorana
fermions, 294
mass term, 351, 405–407
Mandelstam variables, 301
Marginal coupling, 179, 181
Index
Isomorphism, 436, 450–452
Isospin
analysis
in B meson oscillations, 342–345
in K decays, 348
for antiparticles, 15–16
in nuclear physics, 3, 5–6, 12–14
in particle physics, 14–18
weak, 4, 40–41, 47, 378–382
Isospinor, nucleon, 6
Isotopic spin, 11
Jacobian, in kinematics of W production,
397–399
Jacobi identity, 446
Jarlskog invariant, 320–321, 357
Jet algorithms, 107–108
JADE, 108
kt, 108
Jet trigger, 88–89
Jets, 87–108
Kinoshita–Lee–Nauenberg theorem, 105–
106
Kobayashi–Maskawa CP analysis, 318–
319, 345
K
0 K ¯ 0
-
oscillations, 325
Lagrangian
effective, 239–248
and renormalizability, 244–245
gauge-fixing term in, 52, 61–62
ghost term in, 69–70
Goldstone model, 211–213
π-N vertex in, 30, 238
QCD, 83
quantum field theory
global symmetries in, 24–37
local symmetries in, 51–70
and Noether’s theorem, 28
σ-model
linear, 239–243
non-linear, 243–245
SU(2)-invariant
global, 24–30
local, 45–49
SU(3)-invariant
global, 31–32
local, 49–51
SU(2)× U(1) Higgs, 275–278
symmetry-breaking, 212–213, 217,
264, 275
θ-term in, 84–86
U(1) Higgs, 264
Yang-Mills, 49–51, 59–60
Yukawa (fermion mass-generating),
403–405
Λ L, 183–184
ΛMS , 466
, 127–128
Λ MS
ΛQCD, 126–127
Landau theory, of second-order phase transitions, 202, 214
Large logarithms, 116–118
Lattice field theory, 151–170
and chiral symmetry breaking, 156–
158
and gauge invariance, 158–161
regularization in, 151–152
renormalization in, and RGE, 172–
182
and statistical mechanics, 152, 171–
172
Leading log corrections, 123
Leptogenesis, 353
Lepton flavour, 295, 303, 352
Lepton number, 293–296, 406
Lepton tensor, see Tensor, lepton
Lie algebra, see Algebra, Lie
Link variable, 159
London equation, 262
London gauge, 267
Longitudinal polarization state, for massive vector particles, 258–259,
266, 372
coupling to Higgs field component,
266
scattering of, 372–373
Lorentz group, 447–449
Macroscopic wavefunction, 261, 268
Magnetic moment, ambiguous for charged
spin-1 particle, 54
Majorana
fermions, 294
mass term, 351, 405–407
Mandelstam variables, 301
Marginal coupling, 179, 181