---
title: "The Effective Potential for Composite Operator in the Scalar Model at Finite Temperature • CBPF Index"
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**Physics Note****Published**

# **The Effective Potential for Composite Operator in the Scalar Model at Finite Temperature**

**G.N.J.Añaños; N.F. Svaiter**

2000

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## **Publication details**

<dl>

<dt>Authors</dt>
<dd>G.N.J.Añaños; N.F. Svaiter</dd>

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

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

<dt>Publication date</dt>
<dd>2000</dd>

<dt>Description</dt>
<dd>We discuss the &lt;math&gt;\varphi^4&lt;/math&gt; and &lt;math&gt;\varphi^6&lt;/math&gt; theory defined in a flat &lt;math&gt;D&lt;/math&gt;-dimensional space-time. We assume that the system is in equilibrium with a thermal bath at temperature &lt;math&gt;\beta^{-1}&lt;/math&gt;. To obtain non-perturbative result, the &lt;math&gt;1/N&lt;/math&gt; expansion is used. The method of the composite operator (CJT) for summing a large set of Feynman graphs, is developed for the finite temperature system. The ressumed effective potential and the analysis of the &lt;math&gt;D=3&lt;/math&gt; and &lt;math&gt;D=4&lt;/math&gt; cases are given.</dd>

<dt>Year</dt>
<dd>2000</dd>

<dt>Number</dt>
<dd>CBPF-NF-064/00</dd>

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

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

</dl>

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