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

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

2009-07-28

arxiv.org/abs/0907.4966v1

Phys.Rev.D80:065014,2009

Physics

High Energy Physics

High Energy Physics - Lattice

24 pages, 13 figures

Scientific paper

10.1103/PhysRevD.80.065014

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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