---
title: "The Composite Operator (CJT) Formalism in the <math>(λϕ4+ηϕ6)D=3</math> Model at Finite Temperature • CBPF Index"
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**Physics Note****Published**

# **The Composite Operator (CJT) Formalism in the **<math>(λφ4+ηφ6)D=3</math>\<math>(\\lambda\\varphi^4+\\eta\\varphi^{6})\_{D=3}\</math><math>(λφ4+ηφ6)D=3​</math>** Model at Finite Temperature**

**G. F. J. Ananos; N.F. Svaiter**

1999

[**Download PDF **0.1 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb46d/pdf) [**Contact owner**](<mailto:apub@cbpf.br?subject=The%20Composite%20Operator%20(CJT)%20Formalism%20in%20the%20%3Cmath%3E(%CE%BB%CF%954%2B%CE%B7%CF%956)D%3D3%3C%2Fmath%3E%20Model%20at%20Finite%20Temperature>)

## **Publication details**

<dl>

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

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

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

<dt>Publication date</dt>
<dd>1999</dd>

<dt>Description</dt>
<dd>We discuss three-dimensional &lt;math&gt;\lambda\varphi^4+\eta\varphi^6\,\!&lt;/math&gt; theory in the context of the 1/N expansion at finite temperature. We use the method of the composite operator (CJT) for summing a large sets of Feynman graphs. We analyse the behavior of the thermal square mass and the thermal coupling constant in the low and high temperature limit. The existent of the tricritical point at some temperature is found using this non-pertubative method.</dd>

<dt>Year</dt>
<dd>1999</dd>

<dt>Number</dt>
<dd>CBPF-NF-054/99</dd>

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

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

</dl>

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```

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