OVERVIEW ON THE ANOMALY AND SCHWINGER TERM IN 2-DIMENSIONAL QED

被引:38
作者
ADAM, C
BERTLMANN, RA
HOFER, P
机构
[1] Institut für Theoretische Physik, Universität Wien, Wien
来源
RIVISTA DEL NUOVO CIMENTO | 1993年 / 16卷 / 08期
关键词
D O I
10.1007/BF02724505
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In the literature there exist many articles dealing with different treatments of the axial anomaly. We wanted to review some of those treatments using as a very simple example two-dimensional QED and to show how these different treatments are connected to each other. We showed how the anomaly arises because of the behaviour of some n-point functions in different treatments (perturbative, dispersive, in BJL limit) and how this behaviour can be traced to the very definition of the Dirac vacuum. Another feature of two-dimensional QED is the solvability of the massless case (Schwinger model). This we could use to demonstrate some methods of exactly solving it and to relate the exact solution to the previous results of the article. So the aim of the article is on the one hand to give an overview on twodimensional Supported by «Fonds zur Förderung der wissenschaftlichen Forschung in Österreich», Projekt No. P8444-TEC. © 1993 Società Italiana di Fisica.
引用
收藏
页码:1 / 52
页数:52
相关论文
共 72 条
[1]   DISPERSION-RELATION APPROACH TO THE ANOMALY IN 2 DIMENSIONS [J].
ADAM, C ;
BERTLMANN, RA ;
HOFER, P .
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1992, 56 (01) :123-127
[2]  
ADAM C, UWTHPH1993 PREPR
[3]   AXIAL-VECTOR VERTEX IN SPINOR ELECTRODYNAMICS [J].
ADLER, SL .
PHYSICAL REVIEW, 1969, 177 (5P2) :2426-&
[4]   THE AXIAL ANOMALY AND THE LATTICE DIRAC SEA [J].
AMBJORN, J ;
GREENSITE, J ;
PETERSON, C .
NUCLEAR PHYSICS B, 1983, 221 (02) :381-408
[5]  
ATIYAH M, 1985, S ANOMALIES GEOMETRY
[6]   DIRAC OPERATORS COUPLED TO VECTOR POTENTIALS [J].
ATIYAH, MF ;
SINGER, IM .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-PHYSICAL SCIENCES, 1984, 81 (08) :2597-2600
[7]   SPECTRAL ASYMMETRY AND RIEMANNIAN GEOMETRY .3. [J].
ATIYAH, MF ;
PATODI, VK ;
SINGER, IM .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1976, 79 (JAN) :71-99
[8]   A PCAC PUZZLE - PI0-)GAMMAGAMMA IN SIGMA-MODEL [J].
BELL, JS ;
JACKIW, R .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1969, 60 (01) :47-+
[9]   CONSISTENT AND COVARIANT ANOMALIES AND LOCAL COHOMOLOGY [J].
BONORA, L ;
COTTARAMUSINO, P .
PHYSICAL REVIEW D, 1986, 33 (10) :3055-3059
[10]   SOME REMARKS ON BRS TRANSFORMATIONS, ANOMALIES AND THE CO-HOMOLOGY OF THE LIE-ALGEBRA OF THE GROUP OF GAUGE TRANSFORMATIONS [J].
BONORA, L ;
COTTARAMUSINO, P .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1983, 87 (04) :589-603