WILSON LINES IN CHERN-SIMONS THEORY AND LINK INVARIANTS

被引:183
作者
GUADAGNINI, E [1 ]
MARTELLINI, M [1 ]
MINTCHEV, M [1 ]
机构
[1] CERN,CH-1211 GENEVA 23,SWITZERLAND
关键词
D O I
10.1016/0550-3213(90)90124-V
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 vacuum expectation values of Wilson line operators 〈W(L)〉 in the Chern-Simons theory are computed to second order to perturbation theory. The meaning of the framing procedure for knots is analyzed in the context of the Chern-simons field theory. The relation between 〈W(L)〉 and the link invariant polynomials is discussed. We derive an explicit analytic expression for the second coefficient of the Alexander-Conway polynomial, which is related to the Arf- and Casson-invariant. We present also some new relations between the HOMFLY coefficients. © 1990.
引用
收藏
页码:575 / 607
页数:33
相关论文
共 46 条
[1]  
Alexander J.W., 1923, T AM MATH SOC, V20, P275
[2]  
[Anonymous], 1959, REV MATH PURES APPL
[3]  
[Anonymous], 1988, KOBE J MATH
[4]  
[Anonymous], 1961, CZECH MATH J
[5]  
ATIYAH MF, 1988, P S PURE MATH, V48
[6]   RENORMALIZATION OF GAUGE THEORIES [J].
BECCHI, C ;
ROUET, A ;
STORA, R .
ANNALS OF PHYSICS, 1976, 98 (02) :287-321
[7]   RENORMALIZATION OF ABELIAN HIGGS-KIBBLE MODEL [J].
BECCHI, C ;
ROUET, A ;
STORA, R .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1975, 42 (02) :127-162
[8]  
BIRMINGHAM D, ICTPIC88387 PREPR
[9]  
BIRMINGHAM D, ICTPIC8938 PREPR
[10]  
BOS M, CUTP43289 PREPR