Amit D.J. — Field theory, the renormalization group, and critical phenomena :: Электронная библиотека попечительского совета мехмата МГУ

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Amit D.J. — Field theory, the renormalization group, and critical phenomena

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Название: Field theory, the renormalization group, and critical phenomena

Автор: Amit D.J.

Аннотация:

There are only very few textzbooks on the intermediate level, and the first edition of Amit's work has been a very useful one. The second edition with a detailed exposition on finite size scaling, universality and the critical behavior with several coupling constants promises to be a valuable tool in the library of many physicists.

Язык:

Рубрика: Физика/Квантовая теория поля/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: revised second edition

Год издания: 1984

Количество страниц: 394

Добавлена в каталог: 23.07.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Green function: free two-point      55 67 369
Green function: N-point      18 38—41 43—44 54 279
Green function: one particle irreducible      85—90 370 372 375
Green, M.S.      xv 309
Grifiths, R.B.      6 10
Grinstein, G.      363 381
Gross, D.J.      145 188 203 227 310 322
Ground state      38—40 93—94
Group, quotient      367
Guerra, F.      32
Guggenheim, H.      269
Halperin, B.I.      32 341
Hamiltonian      34—40
harmonic oscillator      41 50—51
Harris criterion      343—346
Harris, A.B.      343 363
Heisenberg model      4 8 13 31 77 183 288 346 364—381
Heller, P.      9
Hepp, K.      188
Hibbs, A. R.      50 52
Hilbert space      17
Hoegh-Krohn, R.      32
Homogeneity      5—6
homogeneous functions      3—6 9 206—208 210
Homogeneous functions, of mass      244
Homogeneous functions, of momentum      155—156 200—201 224 275
Horner, H.      188 363
Hubbard, J.      32
Hypercube      331
Hypertetrahedral, set of vectors      339
Iacobson, H.      341
Illiopoulos, J.      xv 79 146 188 190 194 266 341
Impurity concentration      346
Infinite: angular momentum      127
Infinite: number of components      104 126—136 144—146 217—220 227
Infinite: volume limit      17 92
Infrared: behavior      148 154—156 159 170 202 249 327
Infrared: divergence      28 111 114—115 154—156 159—163 166 170—171 195 214 229 249—250 308 364
Infrared: region      324
Initial conditions      241 336 337
Insertion of: $\phi^{2}$       73—76 96—100 132 165 172 174 185 214 225 283 292 373
Insertion of: $\phi^{4}$       291
Insertion of: operator      303 304
Instability      14 24 26 94 103 112 324 329
Integral: Gaussian      27 139 257—278
Integral: regularized      247 249
Interaction: $\phi^{3}$       81 89 101 127
Interaction: $\phi^{6}$       101 154 186
Interaction: $\phi^{r}$       149 153 170—171
Interaction: cubic      331
Interaction: nearest neighbor      23
Interaction: short range      366
Interaction: tensor      63—66 77 172 292 324
Interaction: truncated      366
Interaction: vertices      58 60 71—75 104 123 125 170 279
Interaction: with derivatives      366 370
Internal index      370
Interpolation      342
Invariants of internal symmetry      12—14
Irreducibility, one particle      82 86
Irrelevant operators      169—171 239 274 280 281 288—293 335 366 368
Ising model      4 6 8 12 14 17 18—26 31 94 169 343—346 364
Ising, E.      32
Itzykson, C.      xv 79 146 188 190
Jackiw, R.      102 145 188
Jacobian of function integral      367
Jegerlehner, F.      54 79
Jewicki, A.      381
Jona-Lasinio, G.K.      54 79 87 102
Jones, D.R.J.      341
Josephson relation      4
Josephson, B.D.      9 381
Jug, G.      283 300 308 309 343
Kac, M.      32 104 145 146
Kadanoff, L.P.      6 10 145 295 309 316 322 381
Kane, J.W.      381
Kerszberg, M.      341
Klein — Gordon: equation      46 48 51
Klein — Gordon: operator      43
Knops, H.J.F.      32
Kogut, J.B.      xv
Kornblit, A.      269
Kosterlitz, J.M.      309 341 377 381
Kotliar, G.      381
Lagrangian as probability density      12—17
Lagrangian free      25 67
Lagrangian momentum dependence of      170—171
Lagrangian — Euclidean      40—41
Landau free energy      106
Landau theory      6 8 15 92 106 109—111 143
Landau theory breakdown of      109—111 143
Landau — Ginzburg: equation      106
Landau — Ginzburg: free energy functional      106
Landau — Ginzburg: theory      103 105—109 330 331
Landau, L.D.      106
Lange, R.V.      102
Langer, J.S.      309
Lattice      18 365
Lattice spacing      15 238 278 367 375 380
Lawrie, J.D.      188 269 375 381
Lee, B.W.      xv 34 52 102 381
Lee, T.D.      52
Legendre transform      86—91 94 99—100 139—141 145 301 378
LeGuillou, J.C.      54 79 146 227 269 378 381
Levanyuk, A.P.      145
Lieb E.      32
Lifshitz, E.M.      10
Linear size      277
Liquid crystal      14 30
Liu, K.S.      341
Long-range order      274 377
Loop expansion      103—126 137—143 145 279
Loops, number of      103—105 117 153 170 233 368 370—372
Low temperature expansion      365 368—372
Low, F.E.      33 53 227
Low-temperature phase      364
Lowenstein, J.H.      42 52
Lubensky, T.C.      32 269 341
Luther, A.      363
Luttinger, J.M.      102
Lypatov, L.N.      269
Lyuksutsov, I.F.      341
Ma, S.K.      xv 32 146 341
Mack, G.      309
Magnet, localized      15
Magnetic systems, interacting      343
magnetization      3—6 19—20 87 92—96 134 166 275 311—314 316 333 376
Marginal operators      368
Martin, A.      79 146 188 190
Martin, P.C.      87 102
Mass-operator      see “Self-energy”
Mass: asymmetric      343
Mass: bare      25—27 65 67 113—115 212
Mass: corrections in minimal subtraction      250 268
Mass: finite      113 122 132
Mass: longitudinal      365
Mass: non-zero (finite)      162 190 197 210 212—214 229 243—246
Massless: limit      197 213—215
Massless: theory      see “Critical theory”
Mattis, D.      32
Maxwell construction      112
Mean-field theory      6—8 15 24 31 346
Measure in function space      16—17 366—369 372 380
Mermin — Wagner — Coleman theorem      365 377
Mermin, N.D.      10 364
Metastable state      93—94
Microscopic theory      18—21 24
Minimal subtraction of dimensional poles      194 229 231—233 246 251—256 260 262 268 288—290 325 357 374
Minimum of potential      92 106 338
Mitter, P.K.      88 227 309

Momentum dependence of: interactions      151 187 238 370
Momentum dependence of: vertex functions      116—122 230 252 255 268
Momentum scale of      191 198—201 217 220 227 282 287
Momentum: conservation      279
Momentum: discrete      279
Momentum: external      280
Momentum: internal      279
Mukamel, D.      32
Multicritical phenomena      127 170 179 243 335 346—361
Natterman, T.      341
Nelson, D.R.      188 309 341 365 381
Nelson, E.      32 36
Neveu, A.      145
Niemeijer, T.J.      239 269
Nightingale, M.P.      308
Nissimov, E.R.      381
Non-analytic result      336
Non-renormalizable theory      154 375
Normal ordering      43
Normalization: conditions      124 126 133 144 159—161 172 186—187 190—192 194—196 213—215 218 224 232 246 252 267 288 321 338 340 353—354
Normalization: momentum point      160—164 190—194 214—215 251
Normalization: of generating functional      54—56 60 77
Nozieres P.      102
Ohta, T.      381
Onsager, L.      8 10 32
Operator product expansion      295—297 308
Operators, composite      280—282 302—303
Operators, creation      43 46 51
Operators, destruction      43 46 51
Operators, O(M)-symmetric      369
Order of magnitude      334
Order, long range      9 143 365
Order-parameter      4 8 11—17 30 108 141 143 171
Ordering, spiral      94
Pacheva, S.J.      381
Papanicolaou, N.      341
Parameter, bare infinite      115
Parameter, microscopic      14
Parameters, phenomenological      15
Parameters, redefined      111—115 120—122 124 143 147
Parasyuk, O.S.      188
Partial-p      155 185 279
Partition function      15—22 31 54—55 63 73 77 83 301
Partition function free      28 31 55 63
Patashinskii, A.Z.      6 10
path integral      35—36
Peliti, L.      381
Pelkovitz, R.A.      365 381
Peterson, A.      227
Pfeuty, P.      xv
Phase diagram, bi-critical      347
Phase factor      43 50
Phase transition      243
Phase transition Kosterlitz — Thouless      377
Phase transition, first order      324 328—336
Phase transition, induced by fluctuations      324 330—336
Phase transition, second order      324 331—332 336
Poisson identity      279
Pokrovskii, V.L.      6 10 341
Poles in $\epsilon$       194—196 223 250—255 283 357 372
Poles in $\epsilon$ , residue of      252—254
Poles, primitive      250
Politzer, H.D.      102 145 227
Polyakov, A.M.      365 381
Potential, effective      91—94 105—106 109—110 112 134 136 192 314 321 337—338
Potts model      31 32
Potts, R.B.      32
Power counting      151—157 170 187 249 280 368 375
Pressure      5 93
Priest, R.G.      269
Primitive divergences      see “Divergences”
Probability amplitude      34
probability distribution      12 15—16 24
Propagator, free      55—58 67 94 141 368 370
Propagator, regularized      247 257 268
Pure system      346
Quadrupole moment      30
Quantum effects (fluctuations)      324
quantum mechanics      34—41
Quark confinement      204
Radiative corrections      82
Recursion relations      54 214
Reducibility, one particle      81—82 85 88—89 98 101
Regularization with a cutoff      110 247—279 251 257—259 268 278
Regularization, dimensional      148 161 192—196 218 223 240 248—250 255 260—265 268 284 306 340 369—370 372—376 380
Regularization, infrared      368
Regularization, of non-linear $\sigma$ -model      366
Regularization, symmetry preserving      378
Relativistic invariance      94
Relevant operator      12—14 31 169—171 187 238 248 281 282 288 307 372
Renormalizability      154 167—168 172 178 180 212—215 222 251 307 375
Renormalization: additive      158 167 210—212
Renormalization: at critical point      162—164 207 225 244 352
Renormalization: composite operator      104 116—117 126—127 157 286—288
Renormalization: constant, $\phi^{2}$       116—117 157 194 218 250 255
Renormalization: constant, coupling      104 112—116 119 125 143 157 159 215 250 255
Renormalization: constant, field      121 157 159 178 190 200 215 250 255
Renormalization: constant, mass dependent      212 354
Renormalization: constants      159 161—164 166 169 172—174 187 195 207 226 229 230—233 266—268 286 305 310 372—373
Renormalization: field      104 117—127
Renormalization: finite      191 252 353
Renormalization: group      116 127 189—227 228 273 277 330 364 377
Renormalization: group equation      189—227 241—242 247—248 266—267 276 280 281 286 304—305 307 316—317 320—321 326 329 337 362 377
Renormalization: group equation, functional      191—192 222—223
Renormalization: group equation, inhomogeneous      211 316
Renormalization: group equation, realization of      191
Renormalization: group equation, solution of      197—199 206 209 212 216 225 242 312 317 349 356 375
Renormalization: group equation, transformation      278
Renormalization: group real space      278
Renormalization: mass      104 112—115 119—120 125 131—132 143 162—164 251
Renormalization: multiplicative      166—167 280
Renormalization: scheme, independence of      310—311
Renormalization: theorem      157 168 189
Renormalized coupling constant      114 117 119 122 125 127 190—191 201 237 240—241 310 330 333 345
Renormalized field      167
Renormalized functions      124—125 157—158 162 280
Renormalized insertions      305
Replica trick      346
Representation of high angular momentum      127
Representation, fundamental      126
Residues at poles      372
Rice, T.M.      381
Rickayzen, G.      309
Ridge      328 330 335
Roginsky, D.      146
Rosen, L.      32
Rudnick, J.      341
Runaway trajectories      328—330 332 375
S matrix      38 42—43 47—50
Saddle point      137—142 145 328 330
Scale change      198
Scale change invariance      150 219—220 238—240 282 324
Scale change transformation      278 306 374
Scaling      5—8 28 150 159 189—227 240 275 278 344 364 376—377
Scaling approach to      274
Scaling corrections to      275—277 306 311
Scaling finite size      277—280
Scaling function      274 280
Scaling logarithmic correction to      243
Scaling relations (laws)      6—9 143 208—210 212 234 236 316 364 375
Scattering, deep inelastic      201
Schafer, L.      381
Scherbakov, A.      269
Schnitzer, H.J.      145
Schofield, P.      32
Schrodinger equation, as diffusion equation      40
Schroer, B.      54 79
Schultz, T.      32
Schwinger parametrization      247
Schwinger, J.      87 102

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