FINITE-SIZE EFFECTS FROM GENERAL COVARIANCE AND WEYL ANOMALY

被引:26
作者
DETTKI, A [1 ]
WIPF, A [1 ]
机构
[1] SWISS FED INST TECHNOL,INST THEORET PHYS,CH-8093 ZURICH,SWITZERLAND
关键词
D O I
10.1016/0550-3213(92)90024-6
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
By exploiting the diffeomorphism invariance we relate the finite-size effects of massless theories to their Weyl anomaly. We show that the universal contributions to the finite-size effects are determined by certain coefficient functions in the heat kernel expansion of the related wave operators. For massless scalars confined in a four-dimensional curved space-time. with boundary, the relevant coefficients are given confirming the results of Moss and Dowker and also of Branson and Gilkey. We apply the general results to theories on bounded regions in two- and four-dimensional flat space-times and determine the change of the effective action under arbitrary conformal deformations of the regions.
引用
收藏
页码:252 / 280
页数:29
相关论文
共 26 条
[1]   UNIVERSAL TERM IN THE FREE-ENERGY AT A CRITICAL-POINT AND THE CONFORMAL ANOMALY [J].
AFFLECK, I .
PHYSICAL REVIEW LETTERS, 1986, 56 (07) :746-748
[2]   THEORY OF STRINGS WITH BOUNDARIES - FLUCTUATIONS, TOPOLOGY AND QUANTUM GEOMETRY [J].
ALVAREZ, O .
NUCLEAR PHYSICS B, 1983, 216 (01) :125-184
[3]  
[Anonymous], 1987, PHASE TRANSITIONS CR
[4]   THE COVARIANT TECHNIQUE FOR THE CALCULATION OF THE HEAT KERNEL ASYMPTOTIC-EXPANSION [J].
AVRAMIDI, IG .
PHYSICS LETTERS B, 1990, 238 (01) :92-97
[5]   ZERO-POINT ENERGY OF FIELDS IN A FINITE VOLUME [J].
BENDER, CM ;
HAYS, P .
PHYSICAL REVIEW D, 1976, 14 (10) :2622-2632
[6]   ZETA-FUNCTIONS AND THE CASIMIR ENERGY [J].
BLAU, SK ;
VISSER, M ;
WIPF, A .
NUCLEAR PHYSICS B, 1988, 310 (01) :163-180
[7]   CONFORMAL-INVARIANCE, THE CENTRAL CHARGE, AND UNIVERSAL FINITE-SIZE AMPLITUDES AT CRITICALITY [J].
BLOTE, HWJ ;
CARDY, JL ;
NIGHTINGALE, MP .
PHYSICAL REVIEW LETTERS, 1986, 56 (07) :742-745
[8]  
Branson TP, 1990, COMMUN PART DIFF EQ, V15, P2, DOI [10.1080/03605309908820686, DOI 10.1080/03605309908820686]
[9]   FINITE-SIZE DEPENDENCE OF THE FREE-ENERGY IN TWO-DIMENSIONAL CRITICAL SYSTEMS [J].
CARDY, JL ;
PESCHEL, I .
NUCLEAR PHYSICS B, 1988, 300 (03) :377-392
[10]  
DETTKI A, 1990, THESIS LMU