Calculating the Finite-Tempuerature Effective Potential with the theory Renormalized at Zero-Temperature
著者
Hisao NAKKAGAWA
(Hisao nakagawa)
教養部
Hiroshi YOKOTA
(Hiroshi yokota)
教養部
版
publisher
出版地
奈良
出版者
奈良大学
上位タイトル
奈良大学紀要
(Memoirs of the Nara University).
Vol.27号,
(1999.
03)
,p.1-
10
識別番号
ISSN
03892204
抄録
In this paper we apply the renormalization-group (RG) inspired resummation method to the one-loop effective potential at finite temperature evaluated in the massive scalar 04 model renormalized at zero-temperature, and study whether our
resummation procedure a la RG uccessfully resum the dominant correction terms apperaed in the perturbative caluculation in the T = 0 renormalization scheme or not.
Our findings are i) that if we start from the theory renormalized at T = 0, then the condition that may perform the resummation of dominant corrction terms actually generates new large terms of the same order of magnitude, thus the resummation program totally breakes down, indicating ii) that the perturbative calculation with the theory renormalized at T = 0 does not fit for the starting basis for carrying out the resummation of temperature-dependent large corrction terms. In the theory renormalized at an arbitrary finite temperature the resummation program successfully works, carrying out the full resummation of dominant correction terms. Result in the theory renormalized .at finite-temperature shows, with the one-loop knowledge alone, the second order nature of the phase transition in the model.
