Kleinert H., Schulte-Frohlinde — Critical Properties of (Phi)P4-Theories :: Электронная библиотека попечительского совета мехмата МГУ

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Kleinert H., Schulte-Frohlinde — Critical Properties of (Phi)P4-Theories

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Название: Critical Properties of (Phi)P4-Theories

Авторы: Kleinert H., Schulte-Frohlinde

Аннотация:

Based upon lecture notes for a course taught by Kleinert, this monograph explains in detail how to perform perturbation expansions in quantum field theory to high orders. The authors also describe how to extract the critical properties of the theory from the resulting divergent power series. Kleinert teaches physics at the Freie U. in Berlin and Schulte-Frohlinde is a visiting scientist at Harvard. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Язык:

Рубрика: Физика/Квантовая теория поля/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2000

Количество страниц: 484

Добавлена в каталог: 13.09.2005

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

Предметный указатель

Exponent, critical      24
Exponent, graphical extrapolation      372
Exponent, high-temperature expansion      393
Exponent, strong-coupling theory      339 359
Exponent, temperature      1
Exponent, theory      191
External, components of diagrams      47
External, line      41 52
External, point      41
Factor, symmetry      76 80
Factorial growth of expansion coefficients      285
Fairbank, W.M.      28
Fateev, V.A.      300
Feldman, J.S.      300
Ferer      402 420
Fernandez, F.M.      353
Fernandez, L.A.      402 420
Ferrenberg, A.M.      401 402
Feynman, diagram      24 37 40
Feynman, integral      23 104
Feynman, parameter      103 111
Feynman, R.P.      354
Field      1
Field, bare      128 140
Field, composite      38 49 56 74
Field, dimension      89
Field, renormalization      193
Field, renormalized      128 133 139
Field, zero-mass      202
First-order phase transition      1
Fisher, A.J.      28
Fisher, D.S.      29
Fisher, M.E.      28 30 127 324 402
Fisher, M.P.A.      29
Five-loop results      270
Five-loop results, critical exponent, $\eta$       303 319
Five-loop results, critical exponent, $\nu$       303 318
Five-loop results, critical exponent, $\omega$       304 317
Five-loop results, fixed point, cubic      316
Five-loop results, fixed point, Heisenberg      302
Five-loop results, fixed point, renormalization group functions      302 315
Five-loop results, fixed point, strong-coupling limit      339
Fixed point      164 166
Fixed point, $\varepsilon$ -expansion for $g^{*}$       179 302 316
Fixed point, cubic      312 316 320 322
Fixed point, Gaussian      167 312
Fixed point, Heisenberg      302 312
Fixed point, in D=3 dimensions      366 379
Fixed point, infrared stable      166 167
Fixed point, Ising      312 0
Fixed point, O(N)-symmetric      312
Fixed point, stability      167 173 181 182 317
Fixed point, trivial      167
Folk, R.      323
Forest formula      184
Formula, Stirling      285 404 407
Four-point, diagram      48 55 131 252 259
Four-point, diagrammatic expansion of      48
Four-point, Fourier transformation      51
Four-point, function      56 64 270
Four-point, in dimensional regularization      110
Four-point, mass renormalization      260
Four-point, symmetry factors      88
Four-point, vertex function      55 135
Free, field dimension      90 156
Free, field theory      33
Free, propagator      35
Free, two-point function      35 51
Full propagator      54
Function, Beta      102 108 121 3 155 157 158 165—167 173 179 332 334 371 415
Function, connected n-point      52
Function, correlation      3 32
Function, digamma      111 250
Function, free two-point      35 51
Function, Gamma      102
Function, Green      32
Function, homogeneous      7 91 94 95
Function, hypergeometric      294
Function, MacRobert      294
Function, n-point      32
Function, partition      31 32
Function, proper correlation      55
Function, proper vertex      54 56 69 162
Function, renormalization group      157 158 171
Function, vertex      69
Functional matrix      33
G-scherne      251
Gamma function      102
gap equation      14
Gaussian fixed point      167 312
Gegenbauer polynomial x-space method      238
General triangle rule      234
Generalized Heisenberg model      14
Generating functional      31 33 58
Generating functional, multicomponent fields      77
Generating functional, vacuum diagrams      63
Generating functional, vertex functions      68
Generation of diagrams      252
Generic diagrams      230 245
Geng, Z.K.      29 401 419
Giambiagi, J.J.      127
Ginzburg temperature      19
Ginzburg — Landau energy functional      16
Ginzburg, criterion      19 21 371
Ginzburg, temperature      19 21 371
Ginzburg, V.L.      29
Goldner, L.S.      28 419
Gomis, J.      153
Gorishny, S.G.      251 282 400
Gottlob, A.P.      402
Goursat, E.      127
Gracey, J.A.      400
Graf, L.H.      29
Graph, Feynman      41
Graph-theoretic notation      184 207
Graphical extrapolation of critical exponents      372
Graves — Morris, P.R.      300 324
Green function      32
Green function, bare      134
Green, M.S.      28 89 183 300 323 400
Greywall, D.S.      29
Griffith scaling relation      178
Grinstein, G.      89
Ground state energy      170
Guardiola, R.      353
Guida, R.      310 354 401 419 424
Hahn, Y.      152
Hamid — Aidinejad, A.      402
Hasenbusch      402
Heap, B.R.      270
Hedrick, E.R.      127
Heisenberg, fixed point      302 312
Heisenberg, model      11 356 396
Heisenberg, model, generalized      14
Hepp, K.      152
Heringa, J.R.      401 402
high-temperature expansion      15 356 393
Hikami, S.      354 355
Holm, C.      402 476
Holovatch, Y.      323
homogeneous functions      7 91 94 95
Honkonen, J.R.      400
HONTEBEYRIE      353
Hughes — Jones, R.      300 324
Hunter, D.L.      401 402
Huse, D.A.      29
Hyper — Borel transformation      403 405
Hypergeometric function      294
Hyperscaling relations      8 17
Ideal, index constellation      224

Ideal, method      26
Identical vertex permutation      44 253
Incidence matrix      122
Incomplete R-operation      187
Index, line      224
Index, transformation      243
Infrared, counterterm      195 215 217
Infrared, cutoff      196 198 211
Infrared, dimensional regularization of      203
Infrared, disjoint subdiagrams      209
Infrared, divergence      100 195 205 207 209 210
Infrared, divergent subdiagram      207 209
Infrared, irreducible      209
Infrared, power counting      196
Infrared, rearrangement      25 195 198 238 248
Infrared, stable      166 167
Infrared, subdivergences      198
Infrared, superficial      211
Infrared, superficial degree of      196 197
Insertion of mass      74
Insertions, mass      93
Integral, Feynman      23
Internal, lines      52
Internal, point      41
IR      (see Infrared)
Ising, fixed point      312
Ising, model      8 12
Israelson, U.E.      28 29 401 419
Itzykson, C.      27 127 152 194
Jack, I.      355
Jacobson, H.      89
Jan, N.      401
Janke — Kleinert algorithm      293 306
Janke, W.      299 300 353 354 402 419 420
Jasch, F.      419
Jones, D.R.T.      153 223 355
Jones, H.F.      354
Kadanoff, L.P.      28—30
Kastening, B.      30 75 270 282
Kataev, A.L.      30 251 282 400 423
Kaya, S.      402
Kazakov, D.I.      30 246 251 299 300 310 400 423
Keller, C.F.      28
Kelly, K.      401
Kennedy, A.D.      152 153 194 223
Ketley, I.J.      89 323 324
Khuri, N.N.      183
KITE-type diagram      230 233
KITE-type diagram, reduction algorithm      233 238
Kivel, N.A.      355
Kleinert, criterion      21 21 371
Kleinert, H.      28—30 39 50 75 89 270 282 299 300 310 324 353—355 400 401 419 420 424
Kleinert, temperature      21 21 371
Kogut, J.      28 127 183
Konishi, K.      354
Kosterlitz — Thouless transition      1
Kosterlitz, J.      28 354
Kreimer, D.      30 400 425
Kuelbeck, J.      270
L-scheme      229
LADDER-type diagram      230
LADDER-type diagram, reduction algorithm      237
Lamda transition      5 15
Landau, approximation      10 73
Landau, D.P.      401 402
Landau, L.D.      29 75
Landau, theory      1 9
Landshoff, P.V.      127
Langhammer, F.      75
Large-iV expansion      360
Large-order behavior      283 285 293 385 0
Large-order behavior, O(N)-cubic symmetry      320
Large-order behavior, О(N)-symmetry      304
Larin, S.A.      183 251 270 282 310 355 400
Larson      29 401 419
Latent heat      1
Le Bellac      28
Le Guillou, J.C.      28 89 99 183 300 310 323 324 400 419
Leibbrandt, G.      127
Leroy, E.      300
Li, B.      401
Lifshitz, E.M.      29
Limit, thermodynamic      58
Line with vector indices      194 202
Line, external      41 52
Line, index      224
Line, internal      52
Line, topologically equivalent      50
Lipa, J.A.      28 29 401 419
Lipatov, L.N.      300
Logarithmic divergence      101 129
Logarithmic divergence, tadpole      189
Loop      24
Loop, function      225 226
Loop, momentum      53
Lovesey, S.W.      28
Lower critical dimension      24 347
Luijten, E.      401
Luther, A.      89
Lyuksutsov, I.F.      89
Ma, S.      27
MacDonald, D.      401
Macfarlane, a.j.      183
MacRobert function      294
Madras, N.      401
Magnen, J.      300
Magnetization, spontaneous      2 3 5 9—11 175
Maison, D.      152 194
Maki, K.      75
Makinson, G.J.      300 324
Manashov, A.N.      400
Marek, D.      28
Martin — Mayor, V.      402 420
Mass dimension      90
Mass insertion      74
Mass insertions      93
Mass parameter      90
Mass, bare      128 140
Mass, four-point diagram      260
Mass, insertion      38
Mass, parameter      96 97 111 117 139 141 148 156 157 162 163
Mass, redefinition      228
Mass, renormalization      193
Mass, renormalized      128 133 139
Mass, running      161 163
Mass, scale      111 163 228
Massless tadpole integral      105
Mayer, I.O.      30 324
McCoy      29
McKane, A.J.      310
McKenzie, S.      402
Mean-field stability wedge      311
Meiron, D.I.      300 400 424 478
Method of      238
Method of counterterms      128 138
Method of ideal index constellations      238
Method of partial integration      231
Method of uniqueness      26
Method one step from      242
Method triangle      242
Method vertex      240
Method, configuration space      238
Method, Gegenbauer polynomial x-space      238
Method, recursive subtraction      128
Meyer, S.      402
Michel, L.      30 89 323 424
Migdal, A.A.      30
Minimal error of asymptotic series      286
Minimal subtraction      106
Minimal subtraction scheme      25 101 141 156 191

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