论文标题
来自手性$ su(n)$量规理论的对称性的动力学
Dynamics from symmetries in chiral $SU(N)$ gauge theories
论文作者
论文摘要
通过利用最近的发展,涉及普遍的符号的思想,通过涉及Discement symmeties的思想,涉及离散的中心1-Form Symorties和混合混合物,通过优势,检查了简单的手性$ su(n)$量学理论的对称性和动力学理论的对称性和动力学。这类模型特别有趣,因为常规的't Hooft异常匹配的约束允许手性地对称限制真空,没有冷凝水破坏$ u(1)\ times \ times su(n+4)$风味对称性,并且具有某些无质量的baryonlike复合式费物,使所有相关的相关厌氧效率饱和所有相关的异常三角形。我们的计算表明,在这样的真空中,uv-ir匹配约为$ 0 $ - form $ - $$ 1 $ -form -form混合hhoft h Hooff Anomalies失败。这意味着至少至少具有$ n $的理论,实际上无法动态地实现手智的对称限制真空。相比之下,以某些量规非缩合双体凝结为特征的希格斯相通过了我们改进的审查。
The symmetries and dynamics of simple chiral $SU(N)$ gauge theories, with matter Weyl fermions in a two-index symmetric tensor and $N+4$ anti-fundamental representations, are examined, by taking advantage of the recent developments involving the ideas of generalized symmetries, gauging of discrete center 1-form symmetries and mixed 't Hooft anomalies. This class of models are particularly interesting because the conventional 't Hooft anomaly matching constraints allow a chirally symmetric confining vacuum, with no condensates breaking the $U(1) \times SU(N+4)$ flavor symmetry, and with certain set of massless baryonlike composite fermions saturating all the associated anomaly triangles. Our calculations show that in such a vacuum the UV-IR matching of some $0$-form$-$$1$-form mixed 't Hooft anomalies fails. This implies, for the theories with even $N$ at least, that a chirally symmetric confining vacuum contemplated earlier in the literature actually cannot be realized dynamically. In contrast, a Higgs phase characterized by some gauge-noninvariant bifermion condensates passes our improved scrutiny.