String tension and Chern-Simons fluctuations in the vortex vacuum of d=3 gauge theory

被引:22
作者
Cornwall, JM
Yan, B
机构
[1] Physics Department, University of California at Los Angeles, Los Angeles, CA, 90095-1547
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevD.53.4638
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Based on a model of the d=3 SU(2) pure gauge theory vacuum as a monopole-vortex condensate, we give a quantitative (if model-dependent) estimate of the relation between the string tension and a gauge-invariant measure of the Chern-Simons susceptibility, due to vortex linkages, in the absence of a Chern-Simons term in the action. We also give relations among these quantities and the vacuum energy and gauge-boson mass. Both the susceptibility and the string tension come from the same physics: the topology of linking, twisting, and writhing of closed vortex strings. The closed vortex string is described via a complex scalar field theory whose action has a precisely specified functional form, inferred from previous work giving the exact form of a gauge-theory effective potential at low momentum. Applications to high-T phenomena, including B+L anomalous violation, are mentioned.
引用
收藏
页码:4638 / 4649
页数:12
相关论文
共 46 条
[1]   TOPOLOGICAL PICTURE OF COSMIC-STRING SELF-INTERSECTION [J].
ALBRECHT, A ;
YORK, T .
PHYSICAL REVIEW D, 1988, 38 (10) :2958-2962
[2]   SPHALERONS, SMALL FLUCTUATIONS, AND BARYON-NUMBER VIOLATION IN ELECTROWEAK THEORY [J].
ARNOLD, P ;
MCLERRAN, L .
PHYSICAL REVIEW D, 1987, 36 (02) :581-595
[3]   THE SPHALERON STRIKES BACK - A RESPONSE TO OBJECTIONS TO THE SPHALERON APPROXIMATION [J].
ARNOLD, P ;
MCLERRAN, L .
PHYSICAL REVIEW D, 1988, 37 (04) :1020-1029
[4]   EFFECTIVE-FIELD THEORY APPROACH TO HIGH-TEMPERATURE THERMODYNAMICS [J].
BRAATEN, E ;
NIETO, A .
PHYSICAL REVIEW D, 1995, 51 (12) :6990-7006
[5]   THE WEAK ELECTROWEAK PHASE-TRANSITION [J].
BUCHMULLER, W ;
FODOR, Z ;
HELBIG, T ;
WALLISER, D .
ANNALS OF PHYSICS, 1994, 234 (02) :260-299
[6]   IS THERE A PHASE-TRANSITION IN MAXWELL-CHERN-SIMONS THEORY [J].
BURGESS, M ;
TOMS, DJ ;
TVETEN, N .
PHYSICAL REVIEW D, 1993, 48 (04) :1808-1820
[7]  
COHEN AG, 1993, ANNU REV NUCL PART S, V43, P27
[8]   EFFECTIVE ACTION FOR COMPOSITE OPERATORS [J].
CORNWALL, JM ;
JACKIW, R ;
TOMBOULIS, E .
PHYSICAL REVIEW D, 1974, 10 (08) :2428-2445
[9]   QUARK CONFINEMENT AND VORTICES IN MASSIVE GAUGE-INVARIANT QCD [J].
CORNWALL, JM .
NUCLEAR PHYSICS B, 1979, 157 (03) :392-412
[10]   DYNAMICAL MASS GENERATION IN CONTINUUM QUANTUM CHROMODYNAMICS [J].
CORNWALL, JM .
PHYSICAL REVIEW D, 1982, 26 (06) :1453-1478