Interplay between mass, volume, vacuum angle, and chiral condensate in {ital N}-flavor two-dimensional QED

Journal Article · Sat Jun 01 04:00:00 EDT 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.53.7255· OSTI ID:284832

Hetrick, J E ^[1]; Hosotani, Y ^[2]; Iso, S ^[3]

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1. Department of Physics, University of Arizona, Tucson, Arizona 85721 (United States)
2. School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455 (United States)
3. Department of Physics, University of Tokyo, Tokyo 113 (Japan)

The Schwinger model (QED{sub 2}) with {ital N} flavors of massive fermions on a circle of circumference {ital L}, or equivalently at finite temperature {ital T}, is reduced to a quantum-mechanical system of {ital N}{minus}1 degrees of freedom. With degenerate fermion masses ({ital m}) the chiral condensate develops a cusp singularity at {theta}={plus_minus}{pi} in the limit {ital L}{r_arrow}{infinity} or {ital T}{r_arrow}0, which is removed by a large asymmetry in the fermion masses. Physical quantities sensitively depend on the parameter {ital mL} or {ital m}/{ital T}, and the {ital m}{r_arrow}0 and {ital L}{r_arrow}{infinity} (or {ital T}{r_arrow}0) limits do not commute. A detailed analysis is given for {ital N}=3. {copyright} {ital 1996 The American Physical Society.}

• Research Organization: University of Minnesota
• DOE Contract Number: AC02-83ER40105; FG03-95ER40906
• OSTI ID: 284832
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 12 Vol. 53; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CHIRAL SYMMETRY
CONDENSATES
DEGREES OF FREEDOM
FERMIONS
FLAVOR
MASS
QUANTUM ELECTRODYNAMICS
QUANTUM MECHANICS
SINGULARITY
TWO-DIMENSIONAL CALCULATIONS
VOLUME