Index
Adjoint representation, see Representation, adjoint
Adler sum rule, 316
Adler–Weisberger relation, 228, 231
Aharonov–Bohm effect, 462
Algebra, Lie
Lorentz group, 442, 448
SO(3), 439
SO(4), 240, 441
SU(2), 12–14, 26, 440
SU(3), 19, 442–443
SU(2) × SU(2), 240, 441
SU(2) fL × SU(2) fR , 233, 240
αs, 92, 97
variation with energy (running), 93,
103–104, 115, 124–129
αs(M Z
2 ), 126, 128, 187–189, 316
Anomalous dimension, 132, 179
Anomalous mass dimension, 135, 146
Anomaly, chiral, 249–253
cancellation of, in a gauged current,
252–253
Anti-screening, in QCD, 125–126
Antiparticles
isospin representation for, 15–16
SU(3) f representation for, 20–21
Asymmetric collider, 335
Asymmetries
A f , 392, 410
AFB, 391, 410
ALR, 392
A
FB
LR , 392
CP-violating
A f , 337
A ψK , 340
ASL, 337
Asymptotic freedom, 73, 86, 115, 124–
128, 183
Asymptotic scaling, 184
Auxiliary field, 61–62
Axion, 86
Baryon asymmetry of the universe, 353
Baryon number, conservation of, 7, 25
Basis vectors, changes in, for polar coordinates, 454–455
BCS
ground state for superconductor, 199,
221
not a number operator eigenstate,
221–225
Hamiltonian, 220
theory, 219–225, 260–261, 266
β-function
of QCD, 124–127
of QED, 122
zero of (‘fixed point’), 132–133
Bjorken limit, 309
and scaling, 309–310, 327
Bloch–Nordsieck theorem, 105
Bogoliubov
canonical transformation, 205, 221
ground state, 207–209
non-vanishing vev in, 208
not a number operator eigenstate,
204–205, 207
quasi-particle operators, 205, 221
superfluid, 199, 202–209
B
0 B ¯ 0
-
oscillations, 323, 335–345
Cabibbo
angle, 304–306
hypothesis, 304–305
Callan–Gross relation, 136, 328
Callan–Symanzik equation, 119
Casimir operator, 81, 444
Lorentz group, 448
SO(4), 444–445
SU(2), 444
SU(3), 81, 110–111, 444
493
Adjoint representation, see Representation, adjoint
Adler sum rule, 316
Adler–Weisberger relation, 228, 231
Aharonov–Bohm effect, 462
Algebra, Lie
Lorentz group, 442, 448
SO(3), 439
SO(4), 240, 441
SU(2), 12–14, 26, 440
SU(3), 19, 442–443
SU(2) × SU(2), 240, 441
SU(2) fL × SU(2) fR , 233, 240
αs, 92, 97
variation with energy (running), 93,
103–104, 115, 124–129
αs(M Z
2 ), 126, 128, 187–189, 316
Anomalous dimension, 132, 179
Anomalous mass dimension, 135, 146
Anomaly, chiral, 249–253
cancellation of, in a gauged current,
252–253
Anti-screening, in QCD, 125–126
Antiparticles
isospin representation for, 15–16
SU(3) f representation for, 20–21
Asymmetric collider, 335
Asymmetries
A f , 392, 410
AFB, 391, 410
ALR, 392
A
FB
LR , 392
CP-violating
A f , 337
A ψK , 340
ASL, 337
Asymptotic freedom, 73, 86, 115, 124–
128, 183
Asymptotic scaling, 184
Auxiliary field, 61–62
Axion, 86
Baryon asymmetry of the universe, 353
Baryon number, conservation of, 7, 25
Basis vectors, changes in, for polar coordinates, 454–455
BCS
ground state for superconductor, 199,
221
not a number operator eigenstate,
221–225
Hamiltonian, 220
theory, 219–225, 260–261, 266
β-function
of QCD, 124–127
of QED, 122
zero of (‘fixed point’), 132–133
Bjorken limit, 309
and scaling, 309–310, 327
Bloch–Nordsieck theorem, 105
Bogoliubov
canonical transformation, 205, 221
ground state, 207–209
non-vanishing vev in, 208
not a number operator eigenstate,
204–205, 207
quasi-particle operators, 205, 221
superfluid, 199, 202–209
B
0 B ¯ 0
-
oscillations, 323, 335–345
Cabibbo
angle, 304–306
hypothesis, 304–305
Callan–Gross relation, 136, 328
Callan–Symanzik equation, 119
Casimir operator, 81, 444
Lorentz group, 448
SO(4), 444–445
SU(2), 444
SU(3), 81, 110–111, 444
493