Gauge invariance, finite temperature, and parity anomaly in D=3

被引:72
作者
Deser, S
Griguolo, L
Seminara, D
机构
[1] MIT,CTR THEORET PHYS,NUCL SCI LAB,CAMBRIDGE,MA 02139
[2] MIT,DEPT PHYS,CAMBRIDGE,MA 02139
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevLett.79.1976
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The effective gauge field actions generated by charged fermions in QED(3) and QCD(3) can be made invariant under both small and large gauge. transformations at any temperature by suitable regularization of the Dirac operator determinant, at the price of parity anomalies. We resolve the paradox that the perturbative expansion is not invariant, as manifested by the temperature dependence of the induced Chem-Simons term, by showing that large (unlike small) transformations and hence their Ward identities are not perturbative order preserving. Our results are illustrated through concrete examples of field configurations, where the interplay between gauge and parity anomalies is also exhibited.
引用
收藏
页码:1976 / 1979
页数:4
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