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

$N_{c}$ for O(N)-cubic crossover      313 317 320
$\beta$ function      155 157 158 165—167 173 179 332 334 371 415
$\beta$ function, five-loop      301 314
$\beta$ function, slope and $\omega$       166
$\mathcal{K}$ -operation      141 186
$\varepsilon$ -expansion      24 112 140
$\varepsilon$ -expansion, $N_{c}$ for О(N)-cubic crossover      317
$\varepsilon$ -expansion, critical exponent $\eta$       179 303 319
$\varepsilon$ -expansion, critical exponent $\nu$       179 303 318
$\varepsilon$ -expansion, critical exponent $\omega$       180 304 317
$\varepsilon$ -expansion, fixed point $g^{*}$       179 302 312 316
Above-below equality of critical exponents      176
Aharony, A.      89 323
Ahlers, G.      6 28 29 419
Algorithm, Janke — Kleinert      293 306
Algorithm, reduction of Feynman integrals      224 231 236
Amit, D.J.      27 28 89 153 183
Amplitude ratio      4 6 10 11 170
Amputated diagram      54 87
Analytic regularization      96 101 104
Anderson, P.W.      354
Anomalous dimension      98 179
Anomaly of scale invariance      96 154
Antonenko, S.A.      361 400
Approach to scaling      167 172 357
Approximation, Arvanitis, C.      354
Approximation, Born      27
Approximation, Landau      10 73
Approximation, Pade      26 283
Approximation, Pade — Borel      283
Asymptotic, convergence      181
Asymptotic, minimal error      286
Asymptotic, series      283 286
Babaev, E.      29 30
Bachmann      30 75 270
Baker, G.A.      300 400
Balcar, E.      28
Ballesteros, H.G.      402 420
Bare quantities      95
Bare quantities, coupling constant      100 128 140
Bare quantities, energy functional      100 132 134
Bare quantities, field      100 128 140
Bare quantities, for O(N)-cubic symmetry      280
Bare quantities, for O(N)-symmetry      273
Bare quantities, Green function      134
Bare quantities, mass      100 128 140
Behavior at short distance      183
Bender, C.M.      354 419
Bending stiffness      178
BENZ-type diagram      230
BENZ-type diagram, reduction algorithm      237
Bernreuther, W.      355
beta function      102 108 121 3
BINNEY, J.J.      28
Bjorken, J.D.      127 152
Blocking transformation      24
Bloete, H.W.J.      401 402
Boehm      270
Bogoliubov, N.N.      30 152 194 423
BOGOMOLNY, E.B.      300
Bollini, C.G.      127
Bonnier, B.      353
Borel — Leroy transformation      290 291 293—295
Borel, E.      300
Borel, sum      288 290
Borel, transformation      283 288
Born approximation      27
BPHZ formalism      184
Breakdown of rotational symmetry      2
Breitenlohner, P.      152 194
Brezin, E.      28 30 89 99 183 300 310 323 354 355 424
Broadhurst, D.J.      30 400 425 470 471
Bubble diagrams, chain of      189 193
Buckingham, M.J.      28
Buckley, I.R.C.      354
Butera, P.      127 401 402 420
Callan — Symanzik equation      155
Callan, C.G.      183
Cancellation of vacuum diagrams      47
Caracciolo, S.      401
Carleman      300
Carmona, J.M.      323
Castilly, G.E.      354
Caswell, W.E.      152 153 194 223
Causo, M.S.      401
Chain of bubble diagrams      189 193
Chain of self-energy diagrams      55
Chain, diagram      240
Chakravarty, S.      354
Chen, J.H.      402
Chen, K.      402
Chetyrkin, K.G.      30 223 251 270 282 310 355 400 423
Chui, T.C.P.      28 29 401 419
Cicuta, G.      127
Classical Heisenberg model      11 356 396
Classification of diagrams      229
Cluster decomposition      62
Coherence length      4 7 17 19
Coherence length, zero-temperature      17
Coleman, S.      99
Collins, J.C.      127 152 183 194
Comi      401 402 420
Components of diagrams, external      47
Components of diagrams, vacuum      47
Composite fields      38 74
Condensation energy      10 19 170
Configuration space methods      238
Confluent singularities      389 393
Conformal mapping technique      283 291
Connected, correlation function      3 59
Connected, diagram      46 63 253 255 259 260
Connected, n-point function      61 71
Connected, part of full propagator      54
Connected, two-point function      70
Constants, Euler      125 249
Constants, Planck      23
continuum limit      34
Contracted subdiagram      208
Convention, Einstein’s summation      60
Convergence of Borel sum      290
Convergence of strong-coupling expansion      328
Convergence, asymptotic      181
Convergence, theorem      129
Correlation functions      3 32
Correlation functions, connected      3 59
Correlation functions, diagrammatic expansion of      40
Correlation functions, proper      55
correlation length      4
Counterterm      128 139 139
Counterterm, diagram      144
Counterterm, infrared      215
Counterterm, method      128 138
Counterterm, minimal subtraction      191
Counterterm, weight factor of      139
Coupling constant      31
Coupling constant, bare      128 140
Coupling constant, dimensionless      111 139
Coupling constant, redefinition      148
Coupling constant, reduced      357
Coupling constant, renormalized      128 133 139
Coupling constant, running      161 163
Coupling tensor      31
Criterion, Ginzburg      19 371
Criterion, Kleinert      21 21 371
Critical exponent, $\omega$ , self-consistent      334
Critical exponent, $\omega$ , self-consistent, for D=3      359 360 362
Critical in D=3 dimensions      375
Critical, behavior      4 89 472
Crossover, O(N)-cubic      313 317 320
Cubic, anisotropy      311

Cubic, fixed point      312 316 320 322
Cubic, symmetry      76 311
Cumulant expansion      62
Curie temperature      2 15
Cut, coupling constant plane      291
Cutline in diagram      54 253 255
Cutoff, infrared      198
Cutoff, momentum space      100
Cutoff, regularization      95
Cutoff, ultraviolet      23
Cutvertex in diagram      185 229 252 253 255
Cutvertex in diagram, R-operation      188
D-dimensional, polar coordinates      119
D-dimensional, surface      119
Darboux theorem      290
De Gennes, P.G.      30 310
DeBroglie, L.V.      20
Denner, A.      270
Density, Superfluid      7
Derkachov, S.E.      400
Diagram, classification      229
Diagram, connected      46 253
Diagram, counterterm      144
Diagram, disconnected      46
Diagram, dual      239
Diagram, Feynman      24 37 40
Diagram, for multicomponent fields      76
Diagram, four-point      259
Diagram, generation      252
Diagram, generic      230
Diagram, matrix      253
Diagram, n-point      41
Diagram, N-shaped      246
Diagram, one-particle irreducible      54
Diagram, propagator type      198
Diagram, shrunk      184
Diagram, skeleton      129
Diagram, star      240
Diagram, subtracted      208
Diagram, sunset      113 115
Diagram, tadpole      105 189
Diagram, tree      72
Diagram, two-point      255
Diagram, vacuum      46 255
Diagram, with vector indices      202
Diagrammatic expansion      49 56
Diagrammatic expansion, composite fields      49 56
Diagrammatic expansion, correlation functions      40
Diagrammatic expansion, four-point function      48
Diagrammatic expansion, momentum space      51
Diagrammatic expansion, partition function      45
Diagrammatic expansion, two-point function      48
Diagrammatic subtraction of subdivergences      149 186 205 210
Differentiation with respect to external momentum      132 142 191 193 202
Differentiation with respect to mass      191 192 252 260
Digamma function      111 250
Dimension, anomalous      98 156 179
Dimension, engineering      89
Dimension, field      89
Dimension, free-field      90
Dimension, lower      24 347
Dimension, lower critical      24
Dimension, mass      90
Dimension, naive      89 163
Dimension, noninteger      120
Dimension, technical      89 163 235
Dimension, upper      20 24 131
Dimension, upper critical      20 24 131
Dimensional regularization      102
Dimensional, analysis      95 163 173
Dimensional, four-point diagrams      110
Dimensional, IR-divergence      203
Dimensional, regularization      102
Dimensional, two-point diagrams      110
Dimensional, vacuum diagram      118
Dimensional, zero mass      105 203
Dimensionless, counterterms      139
Dimensionless, coupling constant      111 139
Dimensionless, scale parameter      161
Dingle, R.B.      300
Disconnected diagram      46
Discontinuity      284 285
dispersion relation      285
Divergence, infrared      100 196 197 205 210
Divergence, logarithmic      101 129
Divergence, overlapping      130 151
Divergence, quadratic      101 129
Divergence, superficial      129 131 192
Divergence, ultraviolet      100 129 205
Dohm, V.      183
Domany, E.      324
Domb, C.      28 89 183 323 402
Dowrick, N.J.      28
Drell, S.D.      127 152
Drouffe, J. — M.      27
Drummond, I.T.      310
Dual diagram      239 239
Duality transformation      238
Duncan, A.      354
Dynamic structure factor      27
Dyson, F.J.      152
Eckmann, J.P.      300
Eden, R.J.      127
Effective potential      168
Einstein summation convention      60
Energy functional      31
Energy functional, bare      100 132 134
Energy functional, Ginzburg — Landau      16
Energy functional, renormalized      139
Energy of condensation      10 19
Energy, condensation      170
Energy, effective      68 70 72 73 167 171
Energy, ground state      170
Engineering dimension      89
Equation, Callan — Symanzik      155
Equation, gap      14
Equation, renormalization group      25 157 161
Erdely, A.      300
Euler      474
Euler constant      125
Euler, constant      226 249
Euler, Digamma function      111 125 250
Exceptional momenta      204
Expansion in D=3, dimensions, seven loops      375
Expansion in D=3, dimensions, six loops      356
Expansion of      125 249
Expansion, asymptotic      283 286
Expansion, cumulant      62
Expansion, Gamma function      125
Expansion, high-temperature      356 393
Expansion, of Gamma function      249
Expansion, perturbation      36
Expansion, strong-coupling      297 325
Expansion, weak-coupling      325
Expansion, Wick      36
EXPONENT      1 15 24 173 306
Exponent for O(N)--symmetry      301
Exponent for O(N)-cubic symmetry      311
Exponent in D=3 dimensions      356
Exponent, $\alpha$       5 10 173 176
Exponent, $\alpha$ for D=3      366 379
Exponent, $\beta$ for D=3      366 379
Exponent, $\epsilon$       5 10 175 176 179 77
Exponent, $\epsilon$ for D=3      364 366 379
Exponent, $\gamma$       5 11 174 179 7
Exponent, $\gamma$ for D=3      365 366 379 398 399
Exponent, $\nu$       4 165 176 179 303
Exponent, $\nu$ for D=3      361 366 379 398 399
Exponent, $\omega$       173 179 180 304
Exponent, $\omega$ for D=3      359 366 379

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