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Phase Transitions of Orientifold Gauge Theories at Large N in Finite Volume

Timothy J. Hollowood·Asad Naqvi
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Abstract

In this paper we consider the phase structure of ``orientifold'' gauge theories--obtained from unitary supersymmetric gauge theories by replacing adjoint Majorana fermions by Dirac fermions in the symmetric or anti-symmetric representations--in finite volume S^3 x S^1. If the radius of the S^3 is small the calculations can be performed at weak coupling for any value of the S^1 radius. We demonstrate that there is a confinement/de-confining type of phase transition even when the fermions have periodic (non-thermal) boundary conditions around S^1. At small radius of S^1, the theory is in a phase where charge conjugation and large non-periodic gauge transformation are spontaneously broken. But for large radius of S^1 the phase preseves these symmetries just as in the related supersymmetric theory.

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Timothy J. Hollowood, Asad Naqvi. 2006-09-28. Phase Transitions of Orientifold Gauge Theories at Large N in Finite Volume. https://doi.org/10.1088/1126-6708%2F2007%2F04%2F087

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