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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. 36183633. ISSN 05562821

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Official URL: http://dx.doi.org/10.1103/PhysRevD.57.3618
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http://journals.aps.org  Publisher 
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 Tdependent 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 μdependent 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 

Additional Information:  © 1998 The American Physical Society. 
Uncontrolled Keywords:  Gaugetheories; 2 Dimensions; Density; Family; Matter; Zero 
Subjects:  Sciences > Physics > PhysicsMathematical 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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