Scale symmetry and quantum corrections

5th Symposium on Prospects in the Physics of Discrete Symmetries

Olszewski, P.^1

Institute of Theoretical Physics, Faculty of Physics, University of Warsaw, ul. Pasteura 5, Warsaw, Poland^1

关键词: Dimensional regularization;    Dynamical fields;    Nonstandard methods;    Quantum correction;    Regularization methods;    Renormalization;    Scalar potential;    Symmetric model;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/873/1/012042/pdf
DOI  :  10.1088/1742-6596/873/1/012042

来源: IOP

【 摘 要 】

We use the scale invariant regularization method to study loop corrections in a scale symmetric model of two interacting scalar fields. The method resembles the usual procedure of dimensional regularization, but the renormalization scale μ is a function of dynamical fields. The model is free of the trace anomaly and accommodates spontaneous breaking of the symmetry. It is also necessarily nonrenormalizable. We show how the nonstandard method results in beta functions and corrections to the effective scalar potential different than in the usual regularization, while at the same time it does not spoil the Callan-Symanzik equation.