Conformal invariance and critical phenomena: with 63 tables
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | German |
Veröffentlicht: |
Berlin [u.a.]
Springer
1999
|
Schriftenreihe: | Texts and monographs in physics
|
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Literaturverz. S. 391 - 409 |
Beschreibung: | XVII, 417 S. graph. Darst. |
ISBN: | 354065321X 9783642084669 9783662039373 |
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adam_text | CONTENTS 1. CRITICAL PHENOMENA: A REMINDER ::::::::::::::::::::::::: 1
1.1 PHASE DIAGRAMS AND CRITICAL EXPONENTS :::::::::::::::::: 1 1.2 SCALE
INVARIANCE AND SCALING RELATIONS :::::::::::::::::::: 6 1.3 SOME SIMPLE
SPIN SYSTEMS :::::::::::::::::::::::::::::: 12 1.3.1 ISING MODEL
::::::::::::::::::::::::::::::::::::: 13 1.3.2 TRICRITICAL ISING MODEL
::::::::::::::::::::::::::: 14 1.3.3 Q -STATES POTTS MODEL
:::::::::::::::::::::::::::: 16 1.3.4 VECTOR POTTS MODEL
:::::::::::::::::::::::::::::: 19 1.3.5 XY MODEL
:::::::::::::::::::::::::::::::::::::: 21 1.3.6 YANG{LEE EDGE
SINGULARITY ::::::::::::::::::::::: 23 1.3.7 PERCOLATION
::::::::::::::::::::::::::::::::::::: 24 1.3.8 LINEAR POLYMERS
::::::::::::::::::::::::::::::::: 26 1.3.9 RESTRICTED SOLID-ON-SOLID
MODELS :::::::::::::::::: 27 1.4 SOME EXPERIMENTAL EXAMPLES
::::::::::::::::::::::::::: 30 1.5 CORRESPONDENCE BETWEEN STATISTICAL
SYSTEMS AND FIELD THEORY 37 1.6 CORRESPONDENCE OF PHYSICAL QUANTITIES
:::::::::::::::::::: 39 1.6.1 FREE ENERGY DENSITY
::::::::::::::::::::::::::::: 40 1.6.2 CORRELATION FUNCTIONS
:::::::::::::::::::::::::::: 40 1.6.3 CORRELATION LENGTHS
::::::::::::::::::::::::::::: 41 2. CONFORMAL INVARIANCE
::::::::::::::::::::::::::::::::::::: 43 2.1 FROM SCALE INVARIANCE TO
CONFORMAL INVARIANCE :::::::::::: 43 2.2 CONFORMAL TRANSFORMATIONS IN D
DIMENSIONS ::::::::::::::: 44 2.3 CONFORMAL TRANSFORMATIONS IN TWO
DIMENSIONS :::::::::::: 46 2.4 CONFORMAL INVARIANCE IN TWO DIMENSIONS
::::::::::::::::: 49 2.5 CORRELATION FUNCTIONS OF QUASI-PRIMARY
OPERATORS ::::::::: 51 2.6 THE ENERGY{MOMENTUM TENSOR
:::::::::::::::::::::::::: 53 3. FINITE-SIZE SCALING
:::::::::::::::::::::::::::::::::::::::: 63 3.1 STATISTICAL SYSTEMS IN
FINITE GEOMETRIES :::::::::::::::::: 63 3.2 FINITE-SIZE SCALING
HYPOTHESIS ::::::::::::::::::::::::::: 64 3.3 UNIVERSALITY
::::::::::::::::::::::::::::::::::::::::::: 68 3.4 PHENOMENOLOGICAL
RENORMALIZATION ::::::::::::::::::::::: 72 3.5 CONSEQUENCES OF CONFORMAL
INVARIANCE :::::::::::::::::::: 74 XIV CONTENTS 3.6 COMPARISON WITH
EXPERIMENTS ::::::::::::::::::::::::::: 78 4. REPRESENTATION THEORY OF
THE VIRASORO ALGEBRA ::::::::::: 83 4.1 VERMA MODULE
::::::::::::::::::::::::::::::::::::::::: 84 4.2 HILBERT SPACE STRUCTURE
::::::::::::::::::::::::::::::::: 88 4.3 NULL VECTORS
::::::::::::::::::::::::::::::::::::::::::: 90 4.4 KAC FORMULA AND
UNITARITY :::::::::::::::::::::::::::::: 92 4.5 MINIMAL CHARACTERS
:::::::::::::::::::::::::::::::::::: 97 5. CORRELATORS, NULL VECTORS AND
OPERATOR ALGEBRA :::::::::: 101 5.1 NULL VECTORS AND CORRELATION
FUNCTIONS ::::::::::::::::::: 101 5.2 OPERATOR ALGEBRA AND ASSOCIATIVITY
:::::::::::::::::::::: 104 5.3 ANALYTICITY AND THE MONODROMY PROBLEM
::::::::::::::::: 110 5.4 RIEMANN S METHOD
::::::::::::::::::::::::::::::::::::: 112 6. ISING MODEL CORRELATORS
:::::::::::::::::::::::::::::::::: 117 6.1 SPIN-DENSITY FOUR-POINT
FUNCTION :::::::::::::::::::::::: 117 6.2 ENERGY-DENSITY FOUR-POINT
FUNCTION :::::::::::::::::::::: 121 6.3 MIXED FOUR-POINT FUNCTIONS
::::::::::::::::::::::::::::: 123 6.4 SEMI-LOCAL FOUR-POINT FUNCTIONS
::::::::::::::::::::::::: 124 7. COULOMB GAS REALIZATION
::::::::::::::::::::::::::::::::: 127 7.1 THE FREE BOSONIC SCALAR FIELD
::::::::::::::::::::::::::: 127 7.2 SCREENED COULOMB GAS
::::::::::::::::::::::::::::::::: 132 7.3 MINIMAL CORRELATION FUNCTIONS
::::::::::::::::::::::::::: 134 7.4 MINIMAL ALGEBRAS AND OPE COE*CIENTS
:::::::::::::::::: 137 8. THE HAMILTONIAN LIMIT AND UNIVERSALITY
:::::::::::::::::: 141 8.1 HAMILTONIAN LIMIT IN THE ISING MODEL
:::::::::::::::::::: 141 8.2 HUBBARD{STRATONOVICH TRANSFORMATION
:::::::::::::::::::: 144 8.3 HAMILTONIAN LIMIT OF THE SCALAR * 4 THEORY
:::::::::::::::: 146 8.4 HAMILTONIAN SPECTRUM AND CONFORMAL INVARIANCE
:::::::::: 148 8.5 TEMPERLEY{LIEB ALGEBRA
:::::::::::::::::::::::::::::::: 150 8.6 LAUDAU{GINZBURG CLASSI*CATION
:::::::::::::::::::::::::: 154 9. NUMERICAL TECHNIQUES
:::::::::::::::::::::::::::::::::::: 157 9.1 SIMPLE PROPERTIES OF
QUANTUM HAMILTONIANS :::::::::::::: 157 9.2 SOME FURTHER PHYSICAL
QUANTITIES AND THEIR CRITICAL EXPONENTS :::::::::::::::::::::::::::: 160
9.3 TRANSLATION INVARIANCE :::::::::::::::::::::::::::::::::: 162 9.4
DIAGONALIZATION :::::::::::::::::::::::::::::::::::::::: 163 9.5
EXTRAPOLATION ::::::::::::::::::::::::::::::::::::::::: 170 9.5.1 VBS
ALGORITHM ::::::::::::::::::::::::::::::::: 174 9.5.2 BST ALGORITHM
::::::::::::::::::::::::::::::::: 174 9.6 THE DMRG ALGORITHM
::::::::::::::::::::::::::::::::: 177 CONTENTS XV 10. CONFORMAL
INVARIANCE IN THE ISING QUANTUM CHAIN :::::::: 183 10.1 EXACT
DIAGONALIZATION :::::::::::::::::::::::::::::::::: 183 10.1.1 GENERAL
REMARKS :::::::::::::::::::::::::::::::: 183 10.1.2 JORDAN{WIGNER
TRANSFORMATION ::::::::::::::::::: 184 10.1.3 DIAGONALIZATION OF A
QUADRATIC FORM ::::::::::::::: 185 10.1.4 EIGENVALUE SPECTRUM AND
NORMALIZATION :::::::::::: 187 10.2 CHARACTER FUNCTIONS
:::::::::::::::::::::::::::::::::::: 189 10.3 FINITE-SIZE SCALING
ANALYSIS ::::::::::::::::::::::::::::: 191 10.3.1 GROUND STATE ENERGY
:::::::::::::::::::::::::::: 191 10.3.2 OPERATOR CONTENT
::::::::::::::::::::::::::::::: 194 10.3.3 FINITE-SIZE CORRECTIONS
::::::::::::::::::::::::::: 197 10.3.4 FINITE-SIZE SCALING FUNCTIONS
:::::::::::::::::::::: 197 10.4 THE SPIN-1 QUANTUM CHAIN
::::::::::::::::::::::::::::: 198 10.5 THE VIRASORO GENERATORS
:::::::::::::::::::::::::::::::: 201 10.6 RECAPITULATION
::::::::::::::::::::::::::::::::::::::::: 203 11. MODULAR INVARIANCE
::::::::::::::::::::::::::::::::::::::: 205 11.1 THE MODULAR GROUP
:::::::::::::::::::::::::::::::::::: 205 11.2 IMPLEMENTATION FOR MINIMAL
MODELS :::::::::::::::::::::: 206 11.3 MODULAR INVARIANCE AT C =1
::::::::::::::::::::::::::::: 211 11.3.1 CIRCLE OR COULOMB MODELS
:::::::::::::::::::::::: 212 11.3.2 ORBIFOLD MODELS
::::::::::::::::::::::::::::::::: 213 11.4 LATTICE REALIZATIONS
:::::::::::::::::::::::::::::::::::: 216 12. FURTHER DEVELOPMENTS AND
APPLICATIONS :::::::::::::::::: 219 12.1 THREE-STATES POTTS MODEL
::::::::::::::::::::::::::::::: 219 12.2 TRICRITICAL ISING MODEL
:::::::::::::::::::::::::::::::::: 221 12.2.1 OPERATOR CONTENT
::::::::::::::::::::::::::::::: 221 12.2.2 SUPERSYMMETRY AND
SUPERCONFORMAL INVARIANCE ::::: 224 12.3 YANG{LEE EDGE SINGULARITY
:::::::::::::::::::::::::::::: 227 12.4 ASHKIN{TELLER MODEL
::::::::::::::::::::::::::::::::::: 230 12.4.1 RELATION WITH THE XXZ
QUANTUM CHAIN :::::::::::: 231 12.4.2 GLOBAL SYMMETRY AND BOUNDARY
CONDITIONS :::::::: 231 12.4.3 PHASE DIAGRAM
:::::::::::::::::::::::::::::::::: 233 12.4.4 OPERATOR CONTENT ON THE C
= 1 LINE ::::::::::::::: 234 12.5 XY MODEL
:::::::::::::::::::::::::::::::::::::::::::: 236 12.6 XXZ QUANTUM CHAIN
:::::::::::::::::::::::::::::::::: 238 12.7 ISING CORRELATION FUNCTIONS
ON CYLINDERS :::::::::::::::::: 242 12.8 ALTERNATIVE REALIZATIONS OF THE
CONFORMAL ALGEBRA ::::::::: 242 12.8.1 LOGARITHMIC CONFORMAL THEORIES
:::::::::::::::::: 243 12.8.2 LATTICE TWO-POINT FUNCTIONS
:::::::::::::::::::::: 244 12.9 PERCOLATION
:::::::::::::::::::::::::::::::::::::::::::: 245 12.10 POLYMERS
::::::::::::::::::::::::::::::::::::::::::::: 247 12.10.1 LINEAR
POLYMERS ::::::::::::::::::::::::::::::::: 247 12.10.2 LATTICE ANIMALS
::::::::::::::::::::::::::::::::: 251 XVI CONTENTS 12.11 A SKETCH OF
CONFORMAL TURBULENCE ::::::::::::::::::::::: 254 12.12 SOME REMARKS ON
3D SYSTEMS ::::::::::::::::::::::::::: 258 13. CONFORMAL PERTURBATION
THEORY :::::::::::::::::::::::::: 261 13.1 CORRELATION FUNCTIONS IN THE
STRIP GEOMETRY :::::::::::::: 261 13.2 GENERAL REMARKS ON CORRECTIONS TO
THE CRITICAL BEHAVIOUR :: 263 13.3 FINITE-SIZE CORRECTIONS
:::::::::::::::::::::::::::::::::: 265 13.3.1 TOWER OF THE IDENTITY
:::::::::::::::::::::::::::: 266 13.3.2 APPLICATION TO THE ISING MODEL
:::::::::::::::::::: 267 13.3.3 APPLICATION TO THE THREE-STATES POTTS
MODEL :::::::: 268 13.3.4 CHECKING THE OPERATOR CONTENT FROM FINITE-SIZE
CORRECTIONS :::::::::::::::::::::: 270 13.4 FINITE-SIZE SCALING
FUNCTIONS :::::::::::::::::::::::::::: 270 13.4.1 ISING MODEL: THERMAL
PERTURBATION :::::::::::::::: 271 13.4.2 ISING MODEL: MAGNETIC
PERTURBATION ::::::::::::::: 273 13.5 TRUNCATION METHOD
:::::::::::::::::::::::::::::::::::: 275 14. THE VICINITY OF THE
CRITICAL POINT ::::::::::::::::::::::::: 279 14.1 THE C -THEOREM
:::::::::::::::::::::::::::::::::::::::: 280 14.1.1 APPLICATION TO
POLYMERS :::::::::::::::::::::::::: 284 14.2 CONSERVED CURRENTS CLOSE TO
CRITICALITY ::::::::::::::::::: 285 14.3 EXACT S -MATRIX APPROACH
::::::::::::::::::::::::::::::: 289 14.4 PHENOMENOLOGICAL CONSEQUENCES
::::::::::::::::::::::::: 298 14.4.1 INTEGRABLE PERTURBATIONS
::::::::::::::::::::::::: 298 14.4.2 UNIVERSAL CRITICAL AMPLITUDE RATIOS
::::::::::::::: 304 14.4.3 CHIRAL POTTS MODEL
:::::::::::::::::::::::::::::: 306 14.4.4 ORIENTED INTERACTING POLYMERS
:::::::::::::::::::: 307 14.4.5 NON-INTEGRABLE PERTURBATIONS
::::::::::::::::::::: 311 14.5 ASYMPTOTIC FINITE-SIZE SCALING FUNCTIONS
::::::::::::::::: 316 15. SURFACE CRITICAL PHENOMENA
:::::::::::::::::::::::::::::: 321 15.1 SYSTEMS WITH A BOUNDARY
::::::::::::::::::::::::::::::: 321 15.2 CONFORMAL INVARIANCE CLOSE TO A
FREE SURFACE :::::::::::::: 326 15.3 FINITE-SIZE SCALING WITH FREE
BOUNDARY CONDITIONS ::::::::: 330 15.4 SURFACE OPERATOR CONTENT
::::::::::::::::::::::::::::::: 332 15.4.1 ISING MODEL
::::::::::::::::::::::::::::::::::::: 332 15.4.2 THREE-STATES POTTS
MODEL :::::::::::::::::::::::: 337 15.4.3 TEMPERLEY{LIEB ALGEBRA AND
RELATION WITH THE XXZ CHAIN ::::::::::::::::: 338 15.4.4 TRICRITICAL
ISING MODEL ::::::::::::::::::::::::::: 340 15.4.5 YANG{LEE EDGE
SINGULARITY ::::::::::::::::::::::: 340 15.4.6 ASHKIN{TELLER MODEL
::::::::::::::::::::::::::::: 340 15.4.7 XXZ QUANTUM CHAIN
:::::::::::::::::::::::::::: 342 15.4.8 PERCOLATION
::::::::::::::::::::::::::::::::::::: 343 15.4.9 POLYMERS
::::::::::::::::::::::::::::::::::::::: 346 CONTENTS XVII 15.5 PRO*LES
::::::::::::::::::::::::::::::::::::::::::::::: 346 15.6 DEFECT LINES
::::::::::::::::::::::::::::::::::::::::::: 350 15.6.1 APERIODICALLY
MODULATED SYSTEMS ::::::::::::::::: 362 15.6.2 PERSISTENT CURRENTS IN
SMALL RINGS ::::::::::::::::: 363 16. STRONGLY ANISOTROPIC SCALING
:::::::::::::::::::::::::::::: 369 16.1 DYNAMICAL SCALING
::::::::::::::::::::::::::::::::::::: 369 16.2 SCHR¨ ODINGER INVARIANCE
:::::::::::::::::::::::::::::::::: 372 16.3 TOWARDS LOCAL SCALE
INVARIANCE FOR GENERAL * :::::::::::::: 377 16.4 SOME REMARKS ON
REACTION{DI*USION PROCESSES :::::::::::: 383 ANHANG/ANNEXE
:::::::::::::::::::::::::::::::::::::::::::::: 385 LIST OF TABLES
::::::::::::::::::::::::::::::::::::::::::::::::: 388 LIST OF FIGURES
:::::::::::::::::::::::::::::::::::::::::::::::: 390 REFERENCES
:::::::::::::::::::::::::::::::::::::::::::::::::::: 391 INDEX
::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 411
|
any_adam_object | 1 |
author | Henkel, Malte 1960- |
author_GND | (DE-588)133711463 |
author_facet | Henkel, Malte 1960- |
author_role | aut |
author_sort | Henkel, Malte 1960- |
author_variant | m h mh |
building | Verbundindex |
bvnumber | BV012384048 |
classification_rvk | SK 950 UG 3100 UG 3800 UG 3900 UO 4000 |
classification_tum | PHY 065f |
ctrlnum | (OCoLC)613795258 (DE-599)BVBBV012384048 |
discipline | Physik Mathematik |
format | Book |
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id | DE-604.BV012384048 |
illustrated | Illustrated |
indexdate | 2024-07-09T18:26:39Z |
institution | BVB |
isbn | 354065321X 9783642084669 9783662039373 |
language | German |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008400563 |
oclc_num | 613795258 |
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owner_facet | DE-703 DE-384 DE-91G DE-BY-TUM DE-29T DE-19 DE-BY-UBM DE-634 DE-83 DE-11 DE-20 |
physical | XVII, 417 S. graph. Darst. |
publishDate | 1999 |
publishDateSearch | 1999 |
publishDateSort | 1999 |
publisher | Springer |
record_format | marc |
series2 | Texts and monographs in physics |
spelling | Henkel, Malte 1960- Verfasser (DE-588)133711463 aut Conformal invariance and critical phenomena with 63 tables Malte Henkel Berlin [u.a.] Springer 1999 XVII, 417 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Texts and monographs in physics Literaturverz. S. 391 - 409 Konforme Invarianz (DE-588)4312760-5 gnd rswk-swf Kritisches Phänomen (DE-588)4165788-3 gnd rswk-swf Konforme Invarianz (DE-588)4312760-5 s Kritisches Phänomen (DE-588)4165788-3 s DE-604 SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008400563&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Henkel, Malte 1960- Conformal invariance and critical phenomena with 63 tables Konforme Invarianz (DE-588)4312760-5 gnd Kritisches Phänomen (DE-588)4165788-3 gnd |
subject_GND | (DE-588)4312760-5 (DE-588)4165788-3 |
title | Conformal invariance and critical phenomena with 63 tables |
title_auth | Conformal invariance and critical phenomena with 63 tables |
title_exact_search | Conformal invariance and critical phenomena with 63 tables |
title_full | Conformal invariance and critical phenomena with 63 tables Malte Henkel |
title_fullStr | Conformal invariance and critical phenomena with 63 tables Malte Henkel |
title_full_unstemmed | Conformal invariance and critical phenomena with 63 tables Malte Henkel |
title_short | Conformal invariance and critical phenomena |
title_sort | conformal invariance and critical phenomena with 63 tables |
title_sub | with 63 tables |
topic | Konforme Invarianz (DE-588)4312760-5 gnd Kritisches Phänomen (DE-588)4165788-3 gnd |
topic_facet | Konforme Invarianz Kritisches Phänomen |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008400563&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT henkelmalte conformalinvarianceandcriticalphenomenawith63tables |