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Generalized thirring models

delete1996-08-01
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Ivo Sachs *
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Andreas Wipf
DOI:10.1006/aphy.1996.0077delete
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Abstract

Abstract

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The Thirring Model and various generalizations of it are analyzed in detail. The four-fermi interaction modifies the equation of state. Chemical potentials and twisted boundary conditions both result in complex fermionic determinants which are computed. The nonminimal coupling to gravity leads to a deformation of the conformal algebra which in particular contains the minimal models. We compute the central charges, conformal weights and finite size effects. For the gauged model we derive the partition functions and the explicit expression for the chiral condensate at finite temperature and curvature. The Bosonization in compact curved space-times is also explained. (C) 1996 Academic Press, Inc.
Keywords:
QUANTUM-FIELD-THEORY
GRAVITATIONAL ANOMALIES
PARTITION-FUNCTIONS
QUARK CONFINEMENT
RIEMANN SURFACES
HIGH-TEMPERATURE
DIRAC OPERATORS
SCHWINGER MODEL
GAUGE-THEORIES
DETERMINANTS
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Journal

Annals of Physics cover
Annals of Physics
IF:
3
Papers:
5.5K
Citations:
1.8W

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