Index
ABC theory, 152–153, 158–179, 353
decay C → A + B, 159–163
Lagrangian, 312, 319
propagator corrections in, 300–320
renormalization of, 300–326
scattering A+B→ A+B, 163–179
differential cross section, 174–177
Abelian U(1) group, 57–58
Action, 126, 130, 144, 146
Hamilton’s principle of least, 125–
127, 130, 134–135
Action at a distance, 12–13
Aharonov–Bohm effect, 60–61
Amp` ere’s law, 43, 370
Amplitude
invariant, 161, 170, 172
transition current form
Dirac case, 228
KG case, 223
Analytic function, 388
Analyticity, 388
Angular momentum, 362
Anharmonic oscillator, 149–151
Anharmonic terms, 120, 149–151
Annihilation
e
+ e
− into hadrons, 288–292
e
+ e
− → μ
+ μ
− , 257, 265–266, 291
in CM frame, 257, 265–266
e
+ e
− → π
+ π
− , 247–250
Annihilation process, 173
Anomalies, in quantum field theory, 11
Anticommutation relations, 192–196
Antiparticles
prediction and discovery, 76–77
in quantum field theory, 184–191
Associated production, 10
Asymptotic freedom, 11, 28, 275, 343–
344
Axial vector, 95, 98–99, 295
Bardeen–Cooper–Schrieffer (BCS) theory,
32
Baryon number 10
conservation, 45, 56
non-conservation, 45, 56, 360
Baryon spectroscopy, 8
Beta decay, 7, 22–23
double, and Majorana neutrinos, 102
in Fermi theory, 24
Bhabha scattering, 343
Bilinear covariants, behaviour of,
under P, 97–98, 110
under T, 107–108, 110
Bjorken
limit, 272
scaling, 272–277
x variable, 274–275
Born approximation, 19, 172, 401–402
Bose symmetry, 143
Bottom quark, 9–11
Breit (‘brick wall’) frame, 279
Breit–Wigner amplitude, 173–174
Callan–Gross relation, 277–280
Casimir effect, 143
Cats, conservation of, 43
Cauchy–Reimann relations, 389
Cauchy’s integral formula, 390, 398
Cauchy’s theorem, 389
Causality, 166, 191, 196
CGS units, rationalized Gaussian, 369–
370
Charge conjugation
invariance, in electromagnetic interactions, 212
operator C ˆ , 102, 211–212
transformation C, 99
and Dirac equation, 100–102
and KG equation, 99–100
violation, in weak interactions, 103
427
ABC theory, 152–153, 158–179, 353
decay C → A + B, 159–163
Lagrangian, 312, 319
propagator corrections in, 300–320
renormalization of, 300–326
scattering A+B→ A+B, 163–179
differential cross section, 174–177
Abelian U(1) group, 57–58
Action, 126, 130, 144, 146
Hamilton’s principle of least, 125–
127, 130, 134–135
Action at a distance, 12–13
Aharonov–Bohm effect, 60–61
Amp` ere’s law, 43, 370
Amplitude
invariant, 161, 170, 172
transition current form
Dirac case, 228
KG case, 223
Analytic function, 388
Analyticity, 388
Angular momentum, 362
Anharmonic oscillator, 149–151
Anharmonic terms, 120, 149–151
Annihilation
e
+ e
− into hadrons, 288–292
e
+ e
− → μ
+ μ
− , 257, 265–266, 291
in CM frame, 257, 265–266
e
+ e
− → π
+ π
− , 247–250
Annihilation process, 173
Anomalies, in quantum field theory, 11
Anticommutation relations, 192–196
Antiparticles
prediction and discovery, 76–77
in quantum field theory, 184–191
Associated production, 10
Asymptotic freedom, 11, 28, 275, 343–
344
Axial vector, 95, 98–99, 295
Bardeen–Cooper–Schrieffer (BCS) theory,
32
Baryon number 10
conservation, 45, 56
non-conservation, 45, 56, 360
Baryon spectroscopy, 8
Beta decay, 7, 22–23
double, and Majorana neutrinos, 102
in Fermi theory, 24
Bhabha scattering, 343
Bilinear covariants, behaviour of,
under P, 97–98, 110
under T, 107–108, 110
Bjorken
limit, 272
scaling, 272–277
x variable, 274–275
Born approximation, 19, 172, 401–402
Bose symmetry, 143
Bottom quark, 9–11
Breit (‘brick wall’) frame, 279
Breit–Wigner amplitude, 173–174
Callan–Gross relation, 277–280
Casimir effect, 143
Cats, conservation of, 43
Cauchy–Reimann relations, 389
Cauchy’s integral formula, 390, 398
Cauchy’s theorem, 389
Causality, 166, 191, 196
CGS units, rationalized Gaussian, 369–
370
Charge conjugation
invariance, in electromagnetic interactions, 212
operator C ˆ , 102, 211–212
transformation C, 99
and Dirac equation, 100–102
and KG equation, 99–100
violation, in weak interactions, 103
427