Lattice study of two-dimensional N = (2,2) super Yang-Mills theory at large N

被引：45

作者：

Hanada, Masanori ^{[1
,2
]}

Kanamori, Issaku ^{[2
,3
]}

机构：

[1] Weizmann Inst Sci, Dept Particle Phys, IL-76100 Rehovot, Israel

[2] RIKEN, Nishina Ctr, Theoret Phys Lab, Wako, Saitama 3510198, Japan

[3] Univ Turin, Dipartimento Fis Teor, I-10125 Turin, Italy

来源：

PHYSICAL REVIEW D | 2009年 / 80卷 / 06期

关键词：

REDUCED MODEL; SUPERSYMMETRY; BREAKING;

D O I：

10.1103/PhysRevD.80.065014

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study two-dimensional N = (2, 2) SU(N) super Yang-Mills theory on Euclidean two-torus using Sugino's lattice regularization. We perform the Monte Carlo simulation for N 2; 3; 4; 5 and then extrapolate the result to N = infinity. With the periodic boundary conditions for the fermions along both circles, we establish the existence of a bound state in which scalar fields clump around the origin, in spite of the existence of a classical flat direction. In this phase the global (Z(N))(2) symmetry turns out to be broken. We provide a simple explanation for this fact and discuss its physical implications.

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页数：12

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