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

Journal Article · Tue Aug 01 04:00:00 EDT 2000 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.62.034506· OSTI ID:20217288

Duerr, Stephan ^[1]; Sharpe, Stephen R ^[1]

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1. Physics Department, University of Washington, Box 351560, Seattle, Washington 98195 (United States)

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.

• OSTI ID: 20217288
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 3 Vol. 62; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
INFRARED DIVERGENCES
QUANTUM CHROMODYNAMICS
QUANTUM ELECTRODYNAMICS
QUARKS
TEMPERATURE DEPENDENCE
THEORETICAL DATA