On the Finite Temperature <math>λϕ4</math> Model. Is There a First Order Phase Transition in <math>(λϕ4)3?</math>

Physics NotePublished

On the Finite Temperature $<math>\lambda\varphi^4</math>$ Model. Is There a First Order Phase Transition in $<math>(\lambda\varphi^4)_3?</math>$

A.P.C. Malbouisson; N.F. Svaiter

1995

Authors: A.P.C. Malbouisson; N.F. Svaiter
Type: Physics Note
Status: Published
Publication date: 1995
Description: We investigate the behavior at finite temperature of the massive <math>\lambda\varphi^4</math> model in a D-dimensional spacetime, performing a renormalization up to the order of one loop. In this approximation we show that the thermal mass increase with the temperature, while the thermal coupling constant decrese with the temperature. We establish that in the <math>(\lambda\varphi^4)_3</math> model there is a temperature <math>\beta_{\ast}-1</math> above which the coupling constant becomes negative. We argue that the system could develop a first order phase transition, where the origin corresponds to a metastable vacuum.
Year: 1995
Number: CBPF-NF-070/95
Linked to a thesis: No
Linked to a grant: No