The ubiquitous 'c': from the Stefan-Boltzmann law to quantum information

被引：40

作者：

Cardy, John ^{[1
,2
]}

机构：

[1] Univ Oxford, Rudolf Peierls Ctr Theoret Phys, Oxford OX1 3NP, England

[2] Univ Oxford All Souls Coll, Oxford OX1 4AL, England

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2010年

关键词：

conformal field theory; critical exponents and amplitudes (theory); entanglement in extended quantum systems (theory); CONFORMAL-INVARIANCE; CENTRAL CHARGE; FIELD-THEORY; FREE-ENERGY; CRITICALITY; AMPLITUDES;

D O I：

10.1088/1742-5468/2010/10/P10004

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

I discuss various aspects of the role of the conformal anomaly number c in two-and one + one-dimensional critical behaviour: its appearance as the analogue of Stefan's constant, its fundamental role in conformal field theory, in the classification of 2d universality classes, and as a measure of quantum entanglement, among other topics.

引用

页数：9

共 17 条

[1] UNIVERSAL TERM IN THE FREE-ENERGY AT A CRITICAL-POINT AND THE CONFORMAL ANOMALY
AFFLECK, I
[J]. PHYSICAL REVIEW LETTERS, 1986, 56 (07) : 746 - 748
[2] [Anonymous], 1884, WIED ANN
[3] [Anonymous], 1998, LUDWIG BOLTZMANN MAN, DOI DOI 10.1093/ACPROF:OSO/9780198570646.001.0001/ACPROF-9780198570646
[4] INFINITE CONFORMAL SYMMETRY IN TWO-DIMENSIONAL QUANTUM-FIELD THEORY
BELAVIN, AA
POLYAKOV, AM
ZAMOLODCHIKOV, AB
[J]. NUCLEAR PHYSICS B, 1984, 241 (02) : 333 - 380
[5] CONFORMAL-INVARIANCE, THE CENTRAL CHARGE, AND UNIVERSAL FINITE-SIZE AMPLITUDES AT CRITICALITY
BLOTE, HWJ
CARDY, JL
NIGHTINGALE, MP
[J]. PHYSICAL REVIEW LETTERS, 1986, 56 (07) : 742 - 745
[6] Entanglement entropy and quantum field theory
Calabrese, P
Cardy, J
[J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2004,
[7] Entanglement entropy and conformal field theory
Calabrese, Pasquale
Cardy, John
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (50)
[8] CAPPELLI A, 1987, COMMUN MATH PHYS, V13, P1
[9] FINITE-SIZE DEPENDENCE OF THE FREE-ENERGY IN TWO-DIMENSIONAL CRITICAL SYSTEMS
CARDY, JL
PESCHEL, I
[J]. NUCLEAR PHYSICS B, 1988, 300 (03) : 377 - 392
[10] CENTRAL CHARGE AND UNIVERSAL COMBINATIONS OF AMPLITUDES IN TWO-DIMENSIONAL THEORIES AWAY FROM CRITICALITY
CARDY, JL
[J]. PHYSICAL REVIEW LETTERS, 1988, 60 (26) : 2709 - 2711

← 1 2 →