428
Index
Charge, electric
conservation
global, 44, 47, 207
local, 44, 47, 207
definition, 246, 346
effective, 304, 312
quantization, 312
screening, 339–340
by the vacuum, 340–341
Charged current process, 23
Charmonium, 9
Charm, 9–11
quark, 9
Chiral perturbation theory, 13
Chiral symmetry, 13
spontaneously broken, 13, 33
Cloud of virtual particles, 177
Colour, 10, 27–29
and R, 291
in Drell–Yan process, 286
Compactified space dimensions, 38–39
Compensating field, 48, 206
Completeness relation, for states, 159
Compton effect, 13
Compton scattering of e
− , 250–254
Condensate, 32
Confinement, 9, 28–29, 289
Conjugate variables, 138
Conservative force, 387
Constraints, 199
Contact force, 12
Continuity equation
in covariant form, 46
for electric charge density, 43–44, 46
Contour integration, 314–316, 387–392
Contravariant 4-vector, 62, 65, 71, 371
Coulomb interaction, instantaneous, 239
Coulomb scattering
of s
+ , 221–225
of s
− , 225–226
of e
− , 227–233
of e
+ , 233–234
Coulomb’s law, 21, 323, 369, 393
QED modifications to, 336–338
Counter terms 320, 325
determined by renormalization conditions, 320–322
in ABC theory, 319–321
in Fermi theory, 355–356
in QED, 328, 332, 349
Coupling constant, 208, 299
dimension, 31, 162, 353
dimensionless, 208
Higgs, 343
running, 25, 33, 339–344
Covariance,
of Dirac equation under Lorentz
transformation, 89–94
of KG equation under Lorentz transformation, 87–89
in special relativity, 371–375
Covariant derivative, 52
Covariant 4-vector, 371
CP, 103–104
violation, 9, 103–104
in K and B decays, 102–104
and Sakharov conditions, 104
and T violation, 104
CPT, 104, 108–109
operator θ ˆ , 108
tests of CPT invariance, 109
theorem, 104, 108
and equality of particle and
antiparticle masses, 108–109,
190–191
transformation θ, 108
Crossing symmetry, 247–250
Cross section, differential
for Compton scattering, 252–254,
264
for elastic e
− p scattering, 257–260
+
− +
for e
− s → e s , 239–242, 411–416
for e
− μ
− → e
− μ
− , 254–257, 265,
293
for e
+ e
− → hadrons, 288–292
for e
+ e
− → μ
+ μ
− , 257, 265–266
for e
+ e
− → π
+ π
− , 288–289
for e
+ e
− → q¯ q, 289
inclusive, 269, 276, 293
for inelastic e
− p scattering, 262, 269–
280
in laboratory frame, 241, 256, 271–
272, 293–294, 411–416
Mott, 229
in natural units, 366–367
in non-relativistic scattering theory,
400
Index
Charge, electric
conservation
global, 44, 47, 207
local, 44, 47, 207
definition, 246, 346
effective, 304, 312
quantization, 312
screening, 339–340
by the vacuum, 340–341
Charged current process, 23
Charmonium, 9
Charm, 9–11
quark, 9
Chiral perturbation theory, 13
Chiral symmetry, 13
spontaneously broken, 13, 33
Cloud of virtual particles, 177
Colour, 10, 27–29
and R, 291
in Drell–Yan process, 286
Compactified space dimensions, 38–39
Compensating field, 48, 206
Completeness relation, for states, 159
Compton effect, 13
Compton scattering of e
− , 250–254
Condensate, 32
Confinement, 9, 28–29, 289
Conjugate variables, 138
Conservative force, 387
Constraints, 199
Contact force, 12
Continuity equation
in covariant form, 46
for electric charge density, 43–44, 46
Contour integration, 314–316, 387–392
Contravariant 4-vector, 62, 65, 71, 371
Coulomb interaction, instantaneous, 239
Coulomb scattering
of s
+ , 221–225
of s
− , 225–226
of e
− , 227–233
of e
+ , 233–234
Coulomb’s law, 21, 323, 369, 393
QED modifications to, 336–338
Counter terms 320, 325
determined by renormalization conditions, 320–322
in ABC theory, 319–321
in Fermi theory, 355–356
in QED, 328, 332, 349
Coupling constant, 208, 299
dimension, 31, 162, 353
dimensionless, 208
Higgs, 343
running, 25, 33, 339–344
Covariance,
of Dirac equation under Lorentz
transformation, 89–94
of KG equation under Lorentz transformation, 87–89
in special relativity, 371–375
Covariant derivative, 52
Covariant 4-vector, 371
CP, 103–104
violation, 9, 103–104
in K and B decays, 102–104
and Sakharov conditions, 104
and T violation, 104
CPT, 104, 108–109
operator θ ˆ , 108
tests of CPT invariance, 109
theorem, 104, 108
and equality of particle and
antiparticle masses, 108–109,
190–191
transformation θ, 108
Crossing symmetry, 247–250
Cross section, differential
for Compton scattering, 252–254,
264
for elastic e
− p scattering, 257–260
+
− +
for e
− s → e s , 239–242, 411–416
for e
− μ
− → e
− μ
− , 254–257, 265,
293
for e
+ e
− → hadrons, 288–292
for e
+ e
− → μ
+ μ
− , 257, 265–266
for e
+ e
− → π
+ π
− , 288–289
for e
+ e
− → q¯ q, 289
inclusive, 269, 276, 293
for inelastic e
− p scattering, 262, 269–
280
in laboratory frame, 241, 256, 271–
272, 293–294, 411–416
Mott, 229
in natural units, 366–367
in non-relativistic scattering theory,
400