Symmetries of stationary points of the $G$-invariant potential and the framework of the auxiliary group

Symmetries of symmetries and geometrical CP violation

We investigate transformations which are not symmetries of a theory but nevertheless leave invariant the set of all symmetry elements and representations. Generalizing from the example of a three Higgs doublet model with $Δ(27)$ symmetry, we show that the possibility of such transformations signals physical degeneracies in the parameter space of a theory. We show that stationary points only appear in multiplets which are representations of the group of these so-called equivalence transformations. As a consequence, the stationary points are amongst the solutions of a set of homogeneous linear e…

Stationary phase corrections in the process of bosonization of multi-quark interactions

The functional integration over the auxiliary bosonic variables of cubic order related with the effective action of the Nambu -- Jona-Lasinio model with 't Hooft term has recently been obtained in the form of a loop expansion. Even numbers of loops contribute to the action, while odd numbers of loops are assigned to the measure. We consider the two-loop corrections and analyse their effect on the low-lying pseudoscalar and scalar mass spectra, quark condensates and weak decay constants. The results are compared to the leading order calculations and other approaches.

规范对称性、对称性破缺与规范不变方法

Gauge Symmetries, Symmetry Breaking, and Gauge-Invariant Approaches

本文综述了规范对称性在物理学及物理学哲学中的地位，探讨了将其限制在可观测层面的规范不变信息的合理性，并以 Brout-Englert-Higgs 理论为例，提出了亟待解决的问题。