Phases of chiral gauge theories
Phases of chiral gauge theories
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手性规范理论的阶段
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
Francesco Sannino
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文献类型：
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作者：
T. Appelquist;Z. Duan;Francesco Sannino
本文讨论了两种非超对称手征SU（N）规范理论的行为，它们分别涉及对称和反对称双指标张量表象中的费米子。除了全球异常匹配，我们采用了最近提出的不等式约束的理论，热力学自由能的基础上，有效的低能量（无质量）的自由度的数量。几种可能的零温度相与约束条件一致。如果这些理论选择与全局异常匹配一致的相位，使通过自由能定义的无质量自由度计数最小化，则会出现相位结构的简单图像。这个想法表明，通过形成无质量的复合费米子来保持整体对称性的限制通常是不可取的。虽然我们的讨论主要限于双线性凝聚的形成，高维凝聚被认为是一种情况。最后，我们简要地评论了两个相关的超对称手征理论。(c)2000年，美国物理学会。
We discuss the behavior of two non-supersymmetric chiral SU(N) gauge theories, involving fermions in the symmetric and antisymmetric two-index tensor representations respectively. In addition to global anomaly matching, we employ a recently proposed inequality constraint on the number of effective low energy (massless) degrees of freedom of a theory, based on the thermodynamic free energy. Several possible zero temperature phases are consistent with the constraints. A simple picture for the phase structure emerges if these theories choose the phase, consistent with global anomaly matching, that minimizes the massless degree of freedom count defined through the free energy. This idea suggests that confinement with the preservation of the global symmetries through the formation of massless composite fermions is in general not preferred. While our discussion is restricted mainly to bilinear condensate formation, higher dimensional condensates are considered for one case. We conclude by commenting briefly on two related supersymmetric chiral theories. (c) 2000 The American Physical Society.