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arXiv 1012.0333hep-thhep-lat
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R^3 x S^1上限制理论的相结构

Phase Structure of Confining Theories on R^3 x S^1

Hiromichi Nishimura, Michael C. Ogilvie

摘要:

最近关于R^3 x S^1的类QCD理论的研究表明,当S^1的周长L足够小时,可以存在受限相。伴随QCD和双迹形变理论在一定条件下就是这样的理论,我们给出了它们的相图的一些新结果。首先,我们用Polyakov-Nambu-JonaLasinio模型给出了SU(3)伴随QCD相图中大L和小L受限区之间的联系。然后我们考虑了SU(2)双迹形变理论,研究了Higgs和小L禁闭相之间的矛盾。

英文摘要:

Recent work on QCD-like theories on R^3 x S^1 has revealed that a confined phase can exist when the circumference L of S^1 is sufficiently small. Adjoint QCD and double-trace deformation theories with certain conditions are such theories, and we present some new results for their phase diagrams. First we show the connection between the large-L and small-L confined regions in the phase diagram of SU(3) adjoint QCD using Polyakov-Nambu-Jona Lasinio models. Then we consider an SU(2) double-trace deformation theory with adjoint scalars and study conflicts between the Higgs and small-L confined phase.

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