Spontaneous Symmetry Breaking in Hyperbolic Field Theory

30th Annual Meeting of the Division of Particles and Fields (DPyC) of the Mexican Physical Society

Meza-Aldama, Oscar^1

Facultad de Ciencias Fisico-Matemáticas, Benemérita Universidad Autónoma de Puebla, Av. San Claudio y 18 Sur, Puebla

C.U. 72570, Mexico^1

关键词: Compact generators;    Direct product;    Field theory;    Spontaneous symmetry breaking;    Symmetry groups;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/761/1/012048/pdf
DOI  :  10.1088/1742-6596/761/1/012048

来源: IOP

【 摘 要 】

We study a non-compact analog to the U(1) symmetry group. The Higgs potential is obtained as a transversal section of the λφ4potential possessing symmetry under the action of this group. Both the spontaneous symmetry breaking and the uniform exact symmetry scenarios are obtained as particular cases. We then study an extension of the U(1) group by taking the direct product of it with this non-compact generator. In particular we obtain an expression for the mass terms of the potential after spontaneous symmetry breaking.