Phase structure of twisted Eguchi-Kawai model

被引:33
作者
Azeyanagi, Tatsuo [1 ]
Hirata, Tornoyoshi [1 ]
Hanada, Masanori [2 ,3 ]
Ishikawa, Tomomi [4 ]
机构
[1] Kyoto Univ, Dept Phys, Kyoto 6068502, Japan
[2] Weizmann Inst Sci, Dept Particle Phys, IL-76100 Rehovot, Israel
[3] RIKEN, Nishina Ctr, Theoret Phys Lab, Wako, Saitama 3510198, Japan
[4] Brookhaven Natl Lab, RIKEN BNL Res Ctr, Upton, NY 11973 USA
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2008年 / 01期
关键词
m(atrix) theories; lattice gauge field theories; lattice quantum field theory;
D O I
10.1088/1126-6708/2008/01/025
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
Twisted Eguchi-Kawai model is a useful tool for studying the large-N gauge theory. It can also provide a nonperturbative formulation of the gauge theory on noncommutative spaces. Recently it was found that the Z(N)(4) symmetry in this model, which is crucial for the above applications, can break spontaneously in the intermediate coupling region. In this article, we study the phase structure of this model using the Monte-Carlo simulation. In particular, we elaborately investigate the symmetry breaking point from the weak coupling side. The simulation results show that we cannot take a continuum limit for this model.
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页数:18
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