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arXiv · 1408.3120

Casimir energy of confining large $N$ gauge theories

Gokce Basar·Aleksey Cherman·David A. McGady·Masahito Yamazaki
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Abstract

Four-dimensional asymptotically-free large $N$ gauge theories compactified on $S^3_R \times \mathbb{R}$ 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 $N$ non-supersymmetric gauge theories in this calculable regime, where the vacuum energy can be thought of as the $S^3$ Casimir energy. The $N=\infty$ renormalized vacuum energy turns out to vanish in all of the large $N$ gauge theories we have examined, confirming a striking prediction of temperature-reflection symmetry.

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Gokce Basar, Aleksey Cherman, David A. McGady, Masahito Yamazaki. 2014-08-13. Casimir energy of confining large $N$ gauge theories. https://doi.org/10.1103/physrevlett.114.251604

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