’t Hooft anomaly matching condition and chiral symmetry breaking without bilinear condensate
’t Hooft anomaly matching condition and chiral symmetry breaking without bilinear condensate
复制标题
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
中科院分区:
文献类型:
--
作者:
S. Yamaguchi
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.
影响因子:
5
作者:
Draper, Patrick
通讯作者:
Draper, Patrick
影响因子:
1.3
作者:
Juven C. Wang;X. Wen;E. Witten
通讯作者:
Juven C. Wang;X. Wen;E. Witten
影响因子:
5.4
作者:
Anber, Mohamed M.;Poppitz, Erich
通讯作者:
Poppitz, Erich