INDEX 325

in

φ4

theory, 206–211, 217

in gauge field theory, 303

in QED, 224–251

of charge, 230, 242

of coupling constant, 206–211, 230

of field strength, 215, 225, 227

of mass, 135, 215, 225, 236

renormalization group, 242, 254

renormalized perturbation theory, 211–214

Rydberg energy, 61

S-matrix, 136–147

Salam-Weinberg model, 306–315

scalar potential, 27

scattering matrix, 136–147

scattering operator, 137

Schr¨ odinger equation, 40, 49

Schr¨ odinger picture, 40

Schr¨ odinger representation, 44

second quantization, 82

self-adjoint operator, 37

spherical harmonics, 59

spin, 59

spin-statistics theorem, 89, 116, 121,

152–153

spinor, 68

spinor space, 68

standard model, 315

state, 33

state space, 33, 34

for a nonrelativistic particle, 46

for a relativistic particle, 83–89

multiparticle, 89–96

Stone-von Neumann theorem, 45

superficial degree of divergence, 197

superrenormalizable theory, 199

symmetric operator, 37

symmetry factor, 157

time-ordered exponential, 126

time-ordered product, 126

transition rate, 132, 172

Trotter product formula, 263

Uehling effect, 243

ultraviolet divergence, 194

uncertainty inequality, 52

uncertainty principle, 51

vacuum bubble, 186

vacuum polarization, 242

vector potential, 27

vertex function, 228

virtual particle, 161

virtual quantum, 133

Ward identities, 219, 222

Ward-Takahashi identities, 219, 224

Weinberg angle, 311

Weinberg’s theorem, 197

Weyl representation, 68

Wick ordering, 111, 144

Wick rotation, 195, 196

Wick’s theorem, 145

Wightman axioms, 119

Yang-Mills equation, 295

Yang-Mills field, 295

Yukawa field theory, 140, 175

Yukawa potential, 176