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

Journal Article · Tue Sep 15 00:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.065014· OSTI ID:21322771

Hanada, Masanori ^[1]; Kanamori, Issaku ^[2]

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1. Department of Particle Physics, Weizmann Institute of Science, Rehovot 76100 (Israel)
2. Theoretical Physics Laboratory, RIKEN Nishina Center, Wako, Saitama 351-0198 (Japan)

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{sub N}){sup 2} symmetry turns out to be broken. We provide a simple explanation for this fact and discuss its physical implications.

• OSTI ID: 21322771
• Journal Information: Physical Review. D, Particles Fields, Vol. 80, Issue 6; Other Information: DOI: 10.1103/PhysRevD.80.065014; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
BOUNDARY CONDITIONS
COMPUTERIZED SIMULATION
EUCLIDEAN SPACE
FERMIONS
MONTE CARLO METHOD
PERIODICITY
SCALAR FIELDS
SU GROUPS
SYMMETRY
TWO-DIMENSIONAL CALCULATIONS
YANG-MILLS THEORY