’t Hooft anomaly matching condition and chiral symmetry breaking without bilinear condensate

’t Hooft anomaly matching condition and chiral symmetry breaking without bilinear condensate
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t Hooft 异常匹配条件和无双线性凝聚的手性对称性破缺

DOI:
10.1007/jhep01(2019)014
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发表时间:
2018
影响因子:
5.4
通讯作者:
S. Yamaguchi
S. Yamaguchi
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
S. Yamaguchi

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研究了具有不可约自共轭表示的Weyl费米子的四维SU(N)规范理论。总的来说,这个理论具有离散的手性对称性。利用中心对称与手性对称的t - Hooft异常匹配条件,找到了限制相中自发手性对称性破缺的约束条件。从t Hooft异常的角度讨论了连接不同真空的畴壁。我们以具有3阶反对称表示的Weyl费米子的SU(6)规范理论为例。有人认为,这一理论很可能处于局限阶段。尽管该理论中不可能存在费米子双线性凝聚,但在约束的假设下,手性对称可以自发地破缩到2。
We explore 4-dimensional SU(N) gauge theory with a Weyl fermion in an irreducible self-conjugate representation. This theory, in general, has a discrete chiral symmetry. We use ’t Hooft anomaly matching condition of the center symmetry and the chiral symmetry, and find constraints on the spontaneous chiral symmetry breaking in the confining phase. The domain-walls connecting different vacua are discussed from the point of view of the ’t Hooft anomaly. We consider the SU(6) gauge theory with a Weyl fermion in the rank 3 anti-symmetric representation as an example. It is argued that this theory is likely to be in the confining phase. The chiral symmetry ℤ6 should be spontaneously broken to ℤ2 under the assumption of the confinement, although there cannot be any fermion bilinear condensate in this theory.
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