GENERALIZED TWO-DIMENSIONAL QED AND FUNCTIONAL DETERMINANTS

被引：44

作者：

HORTACSU, M

ROTHE, KD

SCHROER, B

机构：

[1] Institut für Theoretische Physik, Freie Universität Berlin, D-1000 Berlin 33

[2] Bogazici University, Istanbul

来源：

PHYSICAL REVIEW D | 1979年 / 20卷 / 12期

关键词：

D O I：

10.1103/PhysRevD.20.3203

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We obtain a closed expression for the functional determinant of the Dirac operator in two-dimensional QED by confronting results on cluster decomposition with direct fermion integration in the presence of Atiyah-Singer zero modes. The result is shown to be identical with the one obtained from the -function definition and the use of the modified anomaly equation. © 1979 The American Physical Society.

引用

收藏

页码：3203 / 3212

页数：10

相关论文

共 23 条

[1]

ATIYAH M, UNPUBLISHED

[2] SPECTRAL ASYMMETRY AND RIEMANNIAN GEOMETRY .1. [J].

ATIYAH, MF ;

PATODI, VK ;

SINGER, IM .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1975, 77 (JAN) :43-69

[3] GENERALIZED 2-DIMENSIONAL ABELIAN GAUGE-THEORIES AND CONFINEMENT [J].

BELVEDERE, LV ;

SWIECA, JA ;

ROTHE, KD ;

SCHROER, B .

NUCLEAR PHYSICS B, 1979, 153 (1-2) :112-140

[4] COMPUTATION OF QUANTUM FLUCTUATIONS AROUND MULTI-INSTANTON FIELDS FROM EXACT GREENS-FUNCTIONS - CPN-1 CASE [J].

BERG, B ;

LUSCHER, M .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1979, 69 (01) :57-80

[5] A-1-N EXPANDABLE SERIES OF NONLINEAR SIGMA-MODELS WITH INSTANTONS [J].

DADDA, A ;

LUSCHER, M ;

DIVECCHIA, P .

NUCLEAR PHYSICS B, 1978, 146 (01) :63-76

[6] EFFECTIVE LAGRANGIAN AND ENERGY-MOMENTUM TENSOR IN DESITTER SPACE [J].

DOWKER, JS ;

CRITCHLEY, R .

PHYSICAL REVIEW D, 1976, 13 (12) :3224-3232

[7] STRESS-TENSOR CONFORMAL ANOMALY FOR SCALAR, SPINOR, AND VECTOR FIELDS [J].

DOWKER, JS ;

CRITCHLEY, R .

PHYSICAL REVIEW D, 1977, 16 (12) :3390-3394

[8] SU(N) INVARIANT NONLINEAR SIGMA-MODELS [J].

EICHENHERR, H .

NUCLEAR PHYSICS B, 1978, 146 (01) :215-223

[9] QUANTUM FLUCTUATIONS OF INSTANTONS IN THE NONLINEAR SIGMA-MODEL [J].

FATEEV, VA ;

FROLOV, IV ;

SCHWARZ, AS .

NUCLEAR PHYSICS B, 1979, 154 (01) :1-20

[10]

Gilkey P B., 1975, J DIFFER GEOM, V10, P601, DOI [DOI 10.4310/JDG/1214433164, 10.4310/jdg/1214433164]