U(N) INTEGRAL FOR THE GENERATING FUNCTIONAL IN LATTICE GAUGE-THEORY

被引:63
作者
BARS, I
机构
[1] Yale University, Physics Department, J. W. Gibbs Laboratory, New Haven
关键词
D O I
10.1063/1.524368
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The one link integral or equivalently the generating functional of U(N) integrals in the lattice gauge theory is explicitly evaluated in terms of a character expansion. © 1980 American Institute of Physics.
引用
收藏
页码:2678 / 2681
页数:4
相关论文
共 10 条
[1]  
BALANTEKIN B, 1980, YTP8006 YAL PREPR
[2]   COMPLETE INTEGRATION OF U(N) LATTICE GAUGE-THEORY IN A LARGE-N LIMIT [J].
BARS, I ;
GREEN, F .
PHYSICAL REVIEW D, 1979, 20 (12) :3311-3330
[3]   INVARIANT INTEGRATION OVER SU(N) [J].
CREUTZ, M .
JOURNAL OF MATHEMATICAL PHYSICS, 1978, 19 (10) :2043-2046
[4]   NONCONVERGENCE OF 1-N EXPANSION FOR SU(N) GAUGE FIELDS ON A LATTICE [J].
DEWIT, B ;
THOOFT, G .
PHYSICS LETTERS B, 1977, 69 (01) :61-64
[5]   POSSIBLE 3RD-ORDER PHASE-TRANSITION IN THE LARGE-N LATTICE GAUGE-THEORY [J].
GROSS, DJ ;
WITTEN, E .
PHYSICAL REVIEW D, 1980, 21 (02) :446-453
[6]  
SAMUELS S, 1980, I ADV STUDY PREPRINT
[7]   ASYMPTOTIC-BEHAVIOR OF GROUP INTEGRALS IN LIMIT OF INFINITE RANK [J].
WEINGARTEN, D .
JOURNAL OF MATHEMATICAL PHYSICS, 1978, 19 (05) :999-1001
[8]  
WEINGARTEN D, 1979, INDIANA U PREPRINT
[9]  
Weyl H., 1946, CLASSICAL GROUPS
[10]   CONFINEMENT OF QUARKS [J].
WILSON, KG .
PHYSICAL REVIEW D, 1974, 10 (08) :2445-2459