Finite temperature Schwinger model with chirality breaking boundary conditions

Journal Article · Tue Apr 01 04:00:00 EST 1997 · Annals of Physics (New York)

DOI:https://doi.org/10.1006/aphy.1996.5664· OSTI ID:526839

Duerr, S ^[1]; Wipf, A ^[2]

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1. Institute for Theoretical Physics, University of Zuerich (Irchel), CH-8057 Zuerich (Switzerland)
2. Theoretisch-Physikalisches Institut, Friedrich-Schiller University of Jena, D-07743 Jena (Germany)

The N{sub f}-Flavour Schwinger Model on a finite space 0{le}x{sup 1}{le}L and subject to bag-type boundary-conditions at x{sup 1}=0 and x{sup 1}=L is solved at finite temperature T=1/{beta}. The boundary conditions depend on a real parameter 0 and break the axial flavour symmetry. We argue that this approach is more appropriate to study the broken phases than introducing small quark masses, since all calculations can be performed analytically. In the imaginary time formalism we determine the thermal correlators for the fermion-fields and the determinant of the Dirac-operator in arbitrary background gauge-fields. We show that the boundary conditions induce a CP-odd 0-term in the effective action. The chiral condensate, and in particular its T- and L-dependence, is calculated for N{sub f} fermions. It is seen to depend on the order in which the two lengths {beta}=1/T and L are sent to infinity. {copyright} 1997 Academic Press, Inc.

• OSTI ID: 526839
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 2 Vol. 255; ISSN APNYA6; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BOUNDARY CONDITIONS
CHIRAL SYMMETRY
DIRAC OPERATORS
GAUGE INVARIANCE
GREEN FUNCTION
QUANTIZATION
QUANTUM FIELD THEORY
SYMMETRY BREAKING
SYMMETRY GROUPS