Renormalization group improvement for thermally resummed effective potential

by Prof. Koichi Funakubo (Saga U.)

Monday 24 Mar 2025, 14:30 → 15:30 Asia/Tokyo

A228 (Faculty of Science, U. Toyama)

To improve the perturbative calculations of the effective potential used in the study of phase transitions in the early universe, the resummation of the thermal masses is often employed. In conventional perturbation theory, the improvement using the renormalization group have benn well known, but the application of the renormalization group in the presence of resummation had not been well understood. We developed a new renormalization group method by interpreting resummation as a form of finite renormalization and demonstrated improvements in perturbation theory using a simple scalar theory. In this talk, I will present the construction of a renormalization scale-invariant effective potential and introduce a method to improve perturbation theory by utilizing scale invariance.