Effect of wave function renormalization in [ital N]-flavor three-dimensional QED at finite temperature

Journal Article · Fri Jul 15 04:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.1068· OSTI ID:7180904

Aitchison, I J.R.; Klein-Kreisler, M ^[1]

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1. Department of Physics, Theoretical Physics, 1 Keble Road, Oxford OX1 3NP (United Kingdom)

A recent study of dynamical chiral symmetry breaking in [ital N] flavor three-dimensional QED at finite temperature is extended to include the effect of fermion wave function renormalization in the Schwinger-Dyson equations. The simple zero-frequency'' truncation previously used is found to lead to unphysical results, especially as [ital T][r arrow]0. A modified set of equations is proposed, whose solutions behave in a way which is qualitatively similar to the [ital T]=0 solutions of Pennington and co-workers who have made extensive studies of the effect of wave function renormalization in this context, and who concluded that there was no critical [ital N][sub [ital c]] (at [ital T]=0) above which chiral symmetry was restored. In contrast, we find that our modified equations predict a critical [ital N][sub [ital c]] at [ital T][ne]0, and an [ital N]-[ital T] phase diagram very similar to the earlier study neglecting wave function renormalization. The reason for the difference is traced to the different infrared behavior of the vacuum polarization at [ital T]=0 and at [ital T][ne]0.

• OSTI ID: 7180904
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:2; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPOSITE MODELS
DIAGRAMS
ELECTRODYNAMICS
FIELD THEORIES
FLAVOR MODEL
FUNCTIONS
MATHEMATICAL MODELS
PARTICLE MODELS
PHASE DIAGRAMS
POLARIZATION
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
RENORMALIZATION
TEMPERATURE DEPENDENCE
THREE-DIMENSIONAL CALCULATIONS
VACUUM STATES
WAVE FUNCTIONS