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Vacuum structures of supersymmetric Yang-Mills theories in 1+1 dimensions

Journal Article · · Physical Review, D
; ;  [1]
  1. Department of Physics, Tokyo Institute of Technology, Oh-okayama, Meguro, Tokyo 152 (Japan)
Vacuum structures of supersymmetric (SUSY) Yang-Mills theories in 1+1 dimensions are studied with the spatial direction compactified. SUSY allows only periodic boundary conditions for both fermions and bosons. By using the Born-Oppenheimer approximation for the weak coupling limit, we find that the vacuum energy vanishes, and, hence, SUSY is unbroken. Other boundary conditions are also studied, especially the antiperiodic boundary condition for fermions which is related to the system in finite temperatures. In that case we find for gaugino bilinears a nonvanishing vacuum condensation which indicates instanton contributions. {copyright} {ital 1997} {ital The American Physical Society}
OSTI ID:
471247
Journal Information:
Physical Review, D, Journal Name: Physical Review, D Journal Issue: 2 Vol. 55; ISSN PRVDAQ; ISSN 0556-2821
Country of Publication:
United States
Language:
English

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