47th Vietnam Conference on Theoretical Physics (VCTP47)
Hội nghị Vật lý lý thuyết Việt Nam lần thứ 47
Tuy Hòa, 14 August 2022

ProgrammeI.10  Invited, VCTP47 Date: Thursday, 4 August 2022 Time: 10:30  11:10 A renormalization group improvement for thermally resummed effective potentialKoichi Funakubo (1), Eibun Senaha (2) (1) Saga University; (2) Van Lang University Effective potential is a standard tool to analyze thermal phase transitions. It is known that perturbative expansion at zero temperature breaks down at high temperature due to infrared divergence. To cure this problem, thermal resummation is indispensable. However, the renormalization group (RG) invariance that is present at zero temperature is lost by such a thermal resummation. In this talk, I will begin by showing the RG noninvariance of resummed effective potential in phi4 theory up to the 2loop order, and then propose a scheme in which RG invariance holds order by order in resummed perturbation theory. As an example of firstorder phase transition, we consider an extension of the phi4 theory. Our numerical analysis shows that renormalization scale dependences in our scheme could get milder significantly than those in the MSbar scheme at 1loop level, while at the 2loop level the difference between the two schemes are less pronounced as long as couplings are moderate in magnitude. Presenter: Senaha Eibun 
Institute of Physics, VAST

Center for Theoretical Physics 
Center for Computational Physics
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