Comments on Condensates in Non-Supersymmetric Orbifold Field Theories

Abstract

Non-supersymmetric orbifolds of N=1 super Yang-Mills theories are conjectured to inherit properties from their supersymmetric parent. We examine this conjecture by compactifying the Z_2 orbifold theories on a spatial circle of radius R. We point out that when the orbifold theory lies in the weakly coupled vacuum of its parent, fractional instantons do give rise to the conjectured condensate of bi-fundamental fermions. Unfortunately, we show that quantum effects render this vacuum unstable through the generation of twisted operators. In the true vacuum state, no fermion condensate forms. Thus, in contrast to super Yang-Mills, the compactified orbifold theory undergoes a chiral phase transition as R is varied.

10 Pages. Added clarifying comments, computational steps and a nice pretty picture

References in corpus (3)

• On the topological content of SU(2) gauge fields below T_c
• Large N Strong Coupling Dynamics in Non-Supersymmetric Orbifold Field Theories
• Testing Nonperturbative Orbifold Conjecture

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