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Álvarez Estrada, Ramón F. and Gómez Nicola, Ángel
(1998)
*Schwinger and Thirring models at finite chemical potential and temperature.*
Physical review D, 57
(6).
pp. 3618-3633.
ISSN 0556-2821

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Official URL: http://dx.doi.org/10.1103/PhysRevD.57.3618

## Abstract

The imaginary time generating functional Z for the assless Schwinger model at nonzero chemical potential mu and temperature T is studied in a torus with spatial length L. The lack of Hermiticity of the Dirac operator gives rise to a nontrivial μ- and T-dependent phase J in the effective action. When the Dirac operator has no zero modes (trivial sector), we evaluate J, which is a topological contribution, and we find exactly Z, the thermodynamical partition function, the boson propagator and the thermally averaged Polyakov loop. The μ-dependent contribution of the free partition function cancels exactly the nonperturbative one from J, for L→∞, yielding a zero charge density for the system, which bosonizes at nonzero μ. The boson mass is e/√π, independent of T and μ, which is also the inverse correlation length between two opposite charges. Both the boson propagator and the Polyakov loop acquire a new T- and μ -dependent term at L→∞,. The imaginary time generating functional for the massless Thirring model at nonzero T and μ is obtained exactly in terms of the above solution of the Schwinger model in the trivial sector. For this model, the μ dependences of the thermodynamical partition function, the total fermion number density and the fermion two- point correlation function are obtained. The phase J displayed here leads to our new results and allows us to complement nontrivially previous studies on those models.

Item Type: | Article |
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Additional Information: | © 1998 The American Physical Society. |

Uncontrolled Keywords: | Gauge-theories; 2 Dimensions; Density; Family; Matter; Zero |

Subjects: | Sciences > Physics > Physics-Mathematical models Sciences > Physics > Mathematical physics |

ID Code: | 30676 |

Deposited On: | 05 Jun 2015 09:46 |

Last Modified: | 10 Dec 2018 15:10 |

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