TWISTS AND WILSON LOOPS IN THE STRING THEORY OF 2-DIMENSIONAL QCD

被引:195
作者
GROSS, DJ
TAYLOR, W
机构
[1] CERN, DIV THEORY, CH-1211 GENEVA 23, SWITZERLAND
[2] UNIV CALIF BERKELEY, DEPT PHYS, BERKELEY, CA 94720 USA
[3] LAWRENCE BERKELEY LAB, THEORET PHYS GRP, BERKELEY, CA 94720 USA
基金
美国国家科学基金会;
关键词
D O I
10.1016/0550-3213(93)90042-N
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 string theory that describes two-dimensional QCD in an asymptotic 1/N expansion is investigated further. A complete geometrical description of the QCD partition function on an arbitrary manifold is given in terms of maps from a two-dimensional orientable surface onto the target space. This includes correction terms that arise on surfaces with genus G not-equal 1, which are described geometrically by the insertion of extra ''twist'' points in the covering maps. In addition, the formalism is derived for calculating the vacuum expectation value of an arbitrary product of Wilson loops on an arbitrary two-dimensional manifold in terms of maps from an open string world sheet onto the target space.
引用
收藏
页码:395 / 449
页数:55
相关论文
共 27 条
[1]   QUARKS AT ENDS OF STRING [J].
BARS, I ;
HANSON, AJ .
PHYSICAL REVIEW D, 1976, 13 (06) :1744-1760
[2]   QUANTUM STRING THEORY OF HADRONS AND ITS RELATION TO QUANTUM CHROMODYNAMICS IN 2 DIMENSIONS [J].
BARS, I .
NUCLEAR PHYSICS B, 1976, 111 (03) :413-440
[3]   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
[4]   EXACT COMPUTATION OF LOOP AVERAGES IN 2-DIMENSIONAL YANG-MILLS THEORY [J].
BRALIC, NE .
PHYSICAL REVIEW D, 1980, 22 (12) :3090-3103
[5]   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
[6]  
DROUFFE J, 1982, PHYS LETT B, V144, P407
[8]  
GROSS D, 1993, PUPT1376 PREPR
[9]   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
[10]  
GROSS DJ, 1992, PUPT1356 PREPR