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Casimir Energy of Confining Large N Gauge Theories
Gökçe Başar1, Aleksey Cherman2, David A McGady3
1Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794, USA.
Abstract:
Four-dimensional asymptotically free large N gauge theories compactified on S(R)(3)×R have a weakly coupled confining regime when R is small compared to the strong scale. We compute the vacuum energy of a variety of confining large N nonsupersymmetric gauge theories in this calculable regime, where the vacuum energy can be thought of as the S(3) Casimir energy. The N=∞ renormalized vacuum energy turns out to vanish in the class of theories we have examined. This matches an implication of a recently observed temperature-reflection symmetry of such systems.
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