The Dyson-Schwinger equations in the instanton vacuum of the Schwinger model

被引:8
作者
Adam, C
机构
[1] Inst. für Theoretische Physik, Universität Wien, 1090 Wien
关键词
D O I
10.1007/BF01795138
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Using the exact path integral solution of the Schwinger model - a model where instantons are present - the Dyson-Schwinger equations are shown to hold by explicit computation. It turns out that the Dyson-Schwinger equations separately hold for every instanton sector. This is due to the theta invariance of the Schwinger model.
引用
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页码:893 / 904
页数:12
相关论文
共 18 条
[1]   INSTANTONS AND VACUUM EXPECTATION VALUES IN THE SCHWINGER MODEL [J].
ADAM, C .
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1994, 63 (01) :169-180
[2]   OVERVIEW ON THE ANOMALY AND SCHWINGER TERM IN 2-DIMENSIONAL QED [J].
ADAM, C ;
BERTLMANN, RA ;
HOFER, P .
RIVISTA DEL NUOVO CIMENTO, 1993, 16 (08) :1-52
[3]  
ADAM C, 1996, THESIS U WIEN
[4]  
COLEMAN S, 1975, ANN PHYS-NEW YORK, V93, P267, DOI 10.1016/0003-4916(75)90212-2
[5]  
DETTKI A, 1993, ETHTH9314
[6]   THE S-MATRIX IN QUANTUM ELECTRODYNAMICS [J].
DYSON, FJ .
PHYSICAL REVIEW, 1949, 75 (11) :1736-1755
[7]  
Itzykson C., 1987, Quantum Field Theory
[8]  
JAYEWARDENA C, 1988, HELV PHYS ACTA, V61, P636
[9]   HOW QUARK CONFINEMENT SOLVES ETA -] 3-PI PROBLEM [J].
KOGUT, J ;
SUSSKIND, L .
PHYSICAL REVIEW D, 1975, 11 (12) :3594-3610
[10]   QUARK CONFINEMENT AND PUZZLE OF NINTH AXIAL-VECTOR CURRENT [J].
KOGUT, J ;
SUSSKIND, L .
PHYSICAL REVIEW D, 1974, 10 (10) :3468-3475