Geometric aspects of interpolating gauge fixing in Chern-Simons Theory

被引:1
作者
Gallot, Laurent [1 ]
Mathieu, Philippe [1 ]
Pilon, Eric [1 ]
Thuillier, Frank [1 ]
机构
[1] Univ Grenoble Alpes, USMB, CNRS, LAPTH, F-74000 Annecy, France
关键词
Chern-Simons; interpolating gauge; linking number; COULOMB GAUGE; FIELD-THEORY;
D O I
10.1142/S0217732318500128
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In this article we investigate an interpolating gauge fixing procedure in (4l + 3)-dimensional abelian Chern-Simons theory. We show that this interpolating gauge is related to the covariant gauge in a constant anisotropic metric. We compute the corresponding propagators involved in various expressions of the linking number in various gauges. We comment on the geometric interpretations of these expressions, clarifying how to pass from one interpretation to another.
引用
收藏
页数:19
相关论文
共 8 条
[1]  
[Anonymous], 1955, Varietes Differentiables
[2]   Renormalizable non-covariant gauges and Coulomb gauge limit [J].
Baulieu, L ;
Zwanziger, D .
NUCLEAR PHYSICS B, 1999, 548 (1-3) :527-562
[3]  
DUDAL D, 2005, JHEP, V507
[4]   Perturbative analysis of Chern-Simons field theory in the Coulomb gauge [J].
Ferrari, F ;
Lazzizzera, I .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1998, 13 (11) :1773-1783
[5]   Higher dimensional abelian Chern-Simons theories and their link invariants [J].
Gallot, L. ;
Pilon, E. ;
Thuillier, F. .
JOURNAL OF MATHEMATICAL PHYSICS, 2013, 54 (02)
[6]   Deligne-Beilinson Cohomology and Abelian Link Invariants [J].
Guadagnini, Enore ;
Thuillier, Frank .
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2008, 4
[7]   INTERPOLATING GAUGE-FIXING FOR CHERN-SIMONS THEORY [J].
LANDSTEINER, K ;
LANGER, M ;
SCHWEDA, M ;
SORELLA, SP .
PHYSICS LETTERS B, 1994, 337 (3-4) :294-302
[8]   QUANTUM-FIELD THEORY AND THE JONES POLYNOMIAL [J].
WITTEN, E .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 121 (03) :351-399