Index
429
no structure, 241–242, 256, 411–416
Rosenbluth, 269
two-body spinless, 174–177
unpolarized, 228–229, 240
for virtual photons, 277–280
Hand convention, 278, 294
longitudinal/scalar, 278–279
transverse, 278–279
Current
axial vector, 98–99, 295
conservation, 65, 71, 110, 186, 194,
207, 236, 256, 334
and form factors, 245–247, 259
and gauge invariance, 47, 206–207
and hadron tensor, 270
used in evaluating contraction of
tensors, 256
-current form of matrix element, 237–
238
momentum space, 236
operator, electromagnetic 4-vector
Dirac, 207
Klein–Gordon, 209, 225
probability, see Probability current
symmetry, see Symmetry, current
transition, electromagnetic, 223, 225,
228
Cut-off, in renormalization, 303–304, 308,
316–318, 321–323, 325, 330,
332–333, 358
D’Alembertian operator, 64
Decay rate, 161, 417
Deep inelastic region, 262
Deep inelastic scattering, 262, 269–283
scaling violations in, 273
Density of final states, 161, 175
Dielectric constant, 340, 369
Dielectric, polarizable, 339–340
Dipole moment, induced, 339–341
Dirac
algebra, 67, 407
charge form factor, 259–260, 339
delta function, 377–385
properties of, 382–384
equation, 66–71
and C, 100–102
for e
− interacting with potential,
81
4-current, 93
free-particle solutions, 69–70, 84–
85
Lorentz covariance of, 89–94
negative-energy solutions, 74–80
and P, 95–98
positive-energy solutions, 74–75
probability current density, 70–
71, 79–80, 91–93, 110
probability density, 70–71, 79–80,
91, 93
in slash notation, 110, 228
and spin, 67–69, 72–74
and T, 105–108
field, quantization of, 191–196
Hamiltonian, 66, 69, 193–195
interpretation of negative-energy solutions, 76–77
Lagrangian, 191
matrices, 67–69, 84, 110, 294
propagator, 195–196
sea, 76–77
spinor, 68–70, 74–75, 89–106
conjugate, 93, 110
Lorentz transformation of, 89–94
normalization, 86
Discrete symmetry transformations, 95–
110
Displacement current, 44
Divergence, 30, 178, 303
infrared, 330–331
of self energy
in ABC theory, 303, 314–317
of photon, in QED, 331–333
ultraviolet, 303, 353, 357
Drell–Yan process, 284–287, 289, 295–
296
scaling in, 286–287, 295–296
Dyson expansion, 156–158, 210, 235, 299,
301
Effective low-energy theory, 358
Effective theory, 32
Electric dipole moments and T, 108
Electromagnetic field, see Field, electromagnetic
Electromagnetic interactions, see Interactions, electromagnetic
429
no structure, 241–242, 256, 411–416
Rosenbluth, 269
two-body spinless, 174–177
unpolarized, 228–229, 240
for virtual photons, 277–280
Hand convention, 278, 294
longitudinal/scalar, 278–279
transverse, 278–279
Current
axial vector, 98–99, 295
conservation, 65, 71, 110, 186, 194,
207, 236, 256, 334
and form factors, 245–247, 259
and gauge invariance, 47, 206–207
and hadron tensor, 270
used in evaluating contraction of
tensors, 256
-current form of matrix element, 237–
238
momentum space, 236
operator, electromagnetic 4-vector
Dirac, 207
Klein–Gordon, 209, 225
probability, see Probability current
symmetry, see Symmetry, current
transition, electromagnetic, 223, 225,
228
Cut-off, in renormalization, 303–304, 308,
316–318, 321–323, 325, 330,
332–333, 358
D’Alembertian operator, 64
Decay rate, 161, 417
Deep inelastic region, 262
Deep inelastic scattering, 262, 269–283
scaling violations in, 273
Density of final states, 161, 175
Dielectric constant, 340, 369
Dielectric, polarizable, 339–340
Dipole moment, induced, 339–341
Dirac
algebra, 67, 407
charge form factor, 259–260, 339
delta function, 377–385
properties of, 382–384
equation, 66–71
and C, 100–102
for e
− interacting with potential,
81
4-current, 93
free-particle solutions, 69–70, 84–
85
Lorentz covariance of, 89–94
negative-energy solutions, 74–80
and P, 95–98
positive-energy solutions, 74–75
probability current density, 70–
71, 79–80, 91–93, 110
probability density, 70–71, 79–80,
91, 93
in slash notation, 110, 228
and spin, 67–69, 72–74
and T, 105–108
field, quantization of, 191–196
Hamiltonian, 66, 69, 193–195
interpretation of negative-energy solutions, 76–77
Lagrangian, 191
matrices, 67–69, 84, 110, 294
propagator, 195–196
sea, 76–77
spinor, 68–70, 74–75, 89–106
conjugate, 93, 110
Lorentz transformation of, 89–94
normalization, 86
Discrete symmetry transformations, 95–
110
Displacement current, 44
Divergence, 30, 178, 303
infrared, 330–331
of self energy
in ABC theory, 303, 314–317
of photon, in QED, 331–333
ultraviolet, 303, 353, 357
Drell–Yan process, 284–287, 289, 295–
296
scaling in, 286–287, 295–296
Dyson expansion, 156–158, 210, 235, 299,
301
Effective low-energy theory, 358
Effective theory, 32
Electric dipole moments and T, 108
Electromagnetic field, see Field, electromagnetic
Electromagnetic interactions, see Interactions, electromagnetic