---
title: "On the Finite Temperature <math>λϕ4</math> Model. Is There a First Order Phase Transition in <math>(λϕ4)3?</math> • CBPF Index"
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> Index of every page on this site: [llms.txt](https://index.cbpf.br/llms.txt)

**Physics Note****Published**

# **On the Finite Temperature **<math>λφ4</math>\<math>\\lambda\\varphi^4\</math><math>λφ4</math>** Model. Is There a First Order Phase Transition in **<math>(λφ4)3?</math>\<math>(\\lambda\\varphi^4)\_3?\</math><math>(λφ4)3​?</math>

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

1995

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## **Publication details**

<dl>

<dt>Authors</dt>
<dd>A.P.C. Malbouisson; N.F. Svaiter</dd>

<dt>Type</dt>
<dd>Physics Note</dd>

<dt>Status</dt>
<dd>Published</dd>

<dt>Publication date</dt>
<dd>1995</dd>

<dt>Description</dt>
<dd>We investigate the behavior at finite temperature of the massive &lt;math&gt;\lambda\varphi^4&lt;/math&gt; 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 &lt;math&gt;(\lambda\varphi^4)_3&lt;/math&gt; model there is a temperature &lt;math&gt;\beta_{\ast}-1&lt;/math&gt; 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.</dd>

<dt>Year</dt>
<dd>1995</dd>

<dt>Number</dt>
<dd>CBPF-NF-070/95</dd>

<dt>Linked to a thesis</dt>
<dd>No</dd>

<dt>Linked to a grant</dt>
<dd>No</dd>

</dl>

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