IR divergence and anomalous temperature dependence of the condensate in the quenched Schwinger model

The Schwinger model is used to study the artifacts of quenching in a controlled way. The model is solved on a finite-temperature cylinder of circumference {beta}=1/T with bag-inspired local boundary conditions at the two ends x{sup 1}=0 and x{sup 1}=L which break the {gamma}{sub 5} invariance and th...

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Bibliographic Details
Published in:Physical review. D, Particles and fields Particles and fields, 2000-08, Vol.62 (3), Article 034506
Main Authors: Dürr, Stephan, Sharpe, Stephen R.
Format: Article
Language:English
Subjects:
CHIRAL SYMMETRY
INFRARED DIVERGENCES
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM CHROMODYNAMICS
QUANTUM ELECTRODYNAMICS
QUARKS
TEMPERATURE DEPENDENCE
THEORETICAL DATA
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Summary:The Schwinger model is used to study the artifacts of quenching in a controlled way. The model is solved on a finite-temperature cylinder of circumference {beta}=1/T with bag-inspired local boundary conditions at the two ends x{sup 1}=0 and x{sup 1}=L which break the {gamma}{sub 5} invariance and thus play the role of a small quark mass. The quenched chiral condensate is found to diverge exponentially as L{yields}{infinity}, and to diverge (rather than melt as for N{sub f}{>=}1) if the high-temperature limit {beta}{yields}0 is taken at finite box length L. We comment on the generalization of our results to the massive quenched theory, arguing that the condensate is finite as L{yields}{infinity} and proportional to 1/m up to logarithms. (c) 2000 The American Physical Society.
ISSN:0556-2821
1089-4918
DOI:10.1103/PhysRevD.62.034506