Topological aspects of gauge-fixing Yang-Mills theory on S-4

被引:15
作者
Baulieu, L
Rozenberg, A
Schaden, M
机构
[1] KYOTO UNIV, YUKAWA INST THEORET PHYS, KYOTO 606, JAPAN
[2] NYU, DEPT PHYS, NEW YORK, NY 10003 USA
关键词
D O I
10.1103/PhysRevD.54.7825
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
For an S-4 space-time manifold global aspects of gauge fixing are investigated using the relation to topological quantum field theory (TQFT) on the gauge group. The partition function of this TQFT is shown to compute the regularized Euler character of a suitably defined space of gauge transformations. Topological properties of the space of solutions to a covariant gauge conditon on the orbit of a particular instanton are found using the SO(5) isometry group of the S-4 base manifold. We obtain that the Euler character of this space differs from that of an orbit in the topologically trivial sector. This result implies that an orbit with a Pontryagin number kappa=+/-1 in covariant gauges on S-4 contributes to physical correlation functions with a different multiplicity factor due to the Gribov copies than an orbit in the trivial kappa=0 sector. Similar topological show that there is no contribution from the topologically trivial sector to physical correlation functions in gauges defined by a nondegenerate background connection. We discuss the possible physical implications of the global gauge dependence of Yang-Mills theory.
引用
收藏
页码:7825 / 7831
页数:7
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