GAUGE-THEORIES ON A CYLINDER

被引:29
作者
LANGMANN, E
SEMENOFF, GW
机构
[1] Department of Physics, University of British Columbia, Vancouver
基金
加拿大自然科学与工程研究理事会;
关键词
D O I
10.1016/0370-2693(92)90811-H
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Gauge theory with massless fermions on a cylinder [= (1 + 1)-dimensional spacetime with compact space S1] is studied in the hamiltonian framework. Without using a gauge fixing condition, gauge degrees of freedom are eliminated by explicitly solving Gauss' law. The resulting effective hamiltonian describes interacting fermions coupled to a finite number of quantum mechanical variables representing the physical Yang-Mills degrees of freedom. The method can be trivially extended to other gauge theories with matter on a cylinder.
引用
收藏
页码:117 / 120
页数:4
相关论文
共 5 条
[1]   QUANTUM MECHANICS ON GROUP SPACE AND HUYGENS PRINCIPLE [J].
DOWKER, JS .
ANNALS OF PHYSICS, 1971, 62 (02) :361-&
[2]   QUANTIZATION OF NON-ABELIAN GAUGE THEORIES [J].
GRIBOV, VN .
NUCLEAR PHYSICS B, 1978, 139 (1-2) :1-19
[3]   THE SCHWINGER MODEL AND ITS AXIAL ANOMALY [J].
MANTON, NS .
ANNALS OF PHYSICS, 1985, 159 (01) :220-251
[4]   YANG-MILLS THEORY ON A CYLINDER [J].
RAJEEV, SG .
PHYSICS LETTERS B, 1988, 212 (02) :203-205
[5]  
SUNDERMEYR K, 1982, LECTURES NOTES PHYSI, V169