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title: "On the Thermodynamics of the 2+1 Dimensional Gross-Neveu Model with Complex Chemical Potential • CBPF Index"
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**Physics Note****Published**

# **On the Thermodynamics of the 2+1 Dimensional Gross-Neveu Model with Complex Chemical Potential**

**H. R. Christiansen; A.C. Petkou; M. B. S. Neto; N. D. Vlachos**

1999

[**Download PDF **0.3 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb46e/pdf) [**Contact owner**](mailto:apub@cbpf.br?subject=On%20the%20Thermodynamics%20of%20the%202%2B1%20Dimensional%20Gross-Neveu%20Model%20with%20Complex%20Chemical%20Potential)

## **Publication details**

<dl>

<dt>Authors</dt>
<dd>H. R. Christiansen; A.C. Petkou; M. B. S. Neto; N. D. Vlachos</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 study the thermodynamics of the 2+1 dimensional Gross-Neveu model by introducing a representation for the canonical partition function which encodes both real and imaginary chemical potential cases. It is pointed out that the latter case probes the thermodynamics of possible anyon-like excitations in the spectrum. It is also intimately connected to the breaking of the discrete Z-symmetry of the model, which we interpret as signaling anyon deconfinement. Finally, the chiral properties of the model in the presence of an imaginary chemical potential are discussed and analytical results for the free-energy density at the transition points are presented.</dd>

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

<dt>Number</dt>
<dd>CBPF-NF-055/99</dd>

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

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

</dl>

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