2014
DOI: 10.48550/arxiv.1403.6277
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Phase structure of pure SU(3) lattice gauge theory in 5 dimensions

Etsuko Itou,
Kouji Kashiwa,
Norihiro Nakamoto

Abstract: We investigate the nonperturbative phase structure of five-dimensional SU(3) pure Yang-Mills theory on the lattice. We perform numerical simulations using the Wilson plaquette gauge action on an anisotropic lattice with a four-dimensional lattice spacing (a 4 ) and with an independent value in the fifth dimension (a 5 ). We investigate both cases of a 4 > a 5 and a 4 < a 5 . The Polyakov loops in the fourth and the fifth directions are observed, and we find that there are four possible phases for the anisotrop… Show more

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Cited by 5 publications
(7 citation statements)
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References 37 publications
(80 reference statements)
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“…2. There is a sharp drop at β ∼ 4.5, which is a known bulk transition from a confining phase at small β to a deconfined Coulomb phase at large β [15]. This is consistent with perturbative non-renormalizability of the Yang-Mills theory in five dimensions.…”
Section: Monte Carlo Simulationsupporting
confidence: 74%
“…2. There is a sharp drop at β ∼ 4.5, which is a known bulk transition from a confining phase at small β to a deconfined Coulomb phase at large β [15]. This is consistent with perturbative non-renormalizability of the Yang-Mills theory in five dimensions.…”
Section: Monte Carlo Simulationsupporting
confidence: 74%
“…Another way of seeing the above argument is that we want the fields and currents of S b−h to be localized at the lattice boundary. This happens when the anisotropy is small, [24], which is true when a 5 > a 4 . So since here we consider the a 4 → 0 limit then a 5 cannot approach zero but it can take any finite value without losing generality.…”
Section: A2 the Boundary-hybrid Action With Higher Order Termsmentioning
confidence: 99%
“…Field contents We consider SU(3) gauge theories which have been investigated in the context of the symmetry breaking via the Wilson line phase recently in [17,21] with the lattice gauge theory. Our model is constructed by…”
Section: Our Model and The Vacuamentioning
confidence: 99%
“…One naive way is to use the lattice gauge theory. The mechanism have been studied already by lattice gauge theories [16,17,18,19,20,21]. For example, in [17,18], they studied the SU(3) gauge symmetry in the 3+1 dimensional flat spacetime.…”
Section: Introductionmentioning
confidence: 99%