Ray-Singer torsion for a hyperbolic 3-manifold and asymptotics of Chern-Simons-Witten invariant

被引:25
作者
Bytsenko, AA
Vanzo, L
Zerbini, S
机构
[1] UNIV TRENT,DIPARTIMENTO FIS,I-38100 TRENT,ITALY
[2] GRP COLL TRENTO,IST NAZL FIS NUCL,TRENT,ITALY
关键词
D O I
10.1016/S0550-3213(97)00566-X
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
The Ray-Singer torsion for a compact smooth hyperbolic 3-dimensional manifold H-3 is expressed in terms of Selberg zeta functions, making use of the associated Selberg trace formulae. An application to the evaluation of the semiclassical asymptotics of Witten's invariant for the Chern-Simons theory with gauge group SU(2) as well as to the sum over topologies in 3-dimensional quantum gravity are presented. (C) 1997 Elsevier Science B.V.
引用
收藏
页码:641 / 659
页数:19
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