Gauge theory on a quantum phase space

被引:76
作者
Alvarez-Gaumé, L
Wadia, SR [1 ]
机构
[1] CERN, Div Theory, CH-1211 Geneva 23, Switzerland
[2] Tata Inst Fundamental Res, Dept Theoret Phys, Bombay 400005, Maharashtra, India
关键词
D O I
10.1016/S0370-2693(01)00125-3
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In this Letter we present a operator formulation of gauge theories in a quantum phase space which is specified by a operator algebra. For simplicity we work with the Heisenberg algebra. We introduce the notion of the derivative (transport) and Wilson line (parallel transport) which enables us to construct a gauge theory in a simple way. We illustrate the formulation by a discussion of the Higgs mechanism and comment on the large N masterfield. (C) 2001 Published by Elsevier Science B.V.
引用
收藏
页码:319 / 325
页数:7
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