Semiclassical approximation in Chern-Simons gauge theory

被引:0
作者
Adams, DH [1 ]
机构
[1] Univ Dublin Trinity Coll, Sch Math, Dublin 2, Ireland
来源
GEOMETRIC ANALYSIS AND APPLICATIONS TO QUANTUM FIELD THEORY | 2002年 / 205卷
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The semiclassical approximation for the partition function in Chern-Simons gauge theory is derived using the invariant integration method. Volume and scale factors which were undetermined and had to be fixed by hand in previous derivations are automatically taken account of in this framework. Agreement with Witten's exact expressions for the partition function in the weak coupling (large k) limit is verified for gauge group SU(2) and spacetimes S-3, S-2 x S-1, S-1 x S-1 x S-1 and L(p, q).
引用
收藏
页码:1 / 20
页数:20
相关论文
共 14 条
[1]   PHASE AND SCALING PROPERTIES OF DETERMINANTS ARISING IN TOPOLOGICAL FIELD-THEORIES [J].
ADAMS, DH ;
SEN, S .
PHYSICS LETTERS B, 1995, 353 (04) :495-500
[2]   ON FRAMINGS OF 3-MANIFOLDS [J].
ATIYAH, M .
TOPOLOGY, 1990, 29 (01) :1-7
[3]   SPECTRAL ASYMMETRY AND RIEMANNIAN GEOMETRY .2. [J].
ATIYAH, MF ;
PATODI, VK ;
SINGER, IM .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1975, 78 (NOV) :405-432
[4]   ANALYTIC TORSION AND THE HEAT-EQUATION [J].
CHEEGER, J .
ANNALS OF MATHEMATICS, 1979, 109 (02) :259-321
[5]   COMPUTER CALCULATION OF WITTEN 3-MANIFOLD INVARIANT [J].
FREED, DS ;
GOMPF, RE .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 141 (01) :79-117
[6]   CHERN-SIMONS-WITTEN INVARIANTS OF LENS SPACES AND TORUS BUNDLES, AND THE SEMICLASSICAL APPROXIMATION [J].
JEFFREY, LC .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1992, 147 (03) :563-604
[7]   ANALYTIC TORSION AND R-TORSION OF RIEMANNIAN MANIFOLDS [J].
MULLER, W .
ADVANCES IN MATHEMATICS, 1978, 28 (03) :233-305
[8]  
Ray D., 1973, P S PURE MATH PARTIA, V23, P167
[9]   R-TORSION AND LAPLACIAN ON RIEMANNIAN MANIFOLDS [J].
RAY, DB ;
SINGER, IM .
ADVANCES IN MATHEMATICS, 1971, 7 (02) :145-&
[10]   INVARIANTS OF 3-MANIFOLDS VIA LINK POLYNOMIALS AND QUANTUM GROUPS [J].
RESHETIKHIN, N ;
TURAEV, VG .
INVENTIONES MATHEMATICAE, 1991, 103 (03) :547-597