Vacuum fields in the Schwinger model

Journal Article · Tue Dec 15 04:00:00 EST 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.46.5598· OSTI ID:7158801

Smilga, A V ^[1]

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1. Institute for Theoretical Physics, Bern University, Sidlerstrasse 5, CH-3012 Bern (Switzerland)

We suggest a simple model of a vortex-antivortex liquid'' for the characteristic Euclidean gauge-field configuration giving the main contribution to the path integral in the two-dimensional Schwinger model. The spectrum of the Dirac operator in this model has a nonzero volume density of eigenvalues [rho]([lambda]) at [lambda]=0 which gives rise to a nonzero fermion condensate [l angle][bar [psi]][psi][r angle][sub 0]. The model reproduces also the correct qualitative behavior for the field-strength correlator [l angle][ital E]([ital x])[ital E]([ital y])[r angle] and for the Wilson loop. The implications for QCD are discussed.

• OSTI ID: 7158801
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 46:12; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
662230* -- Quantum Chromodynamics-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRAIC CURRENTS
AXIAL-VECTOR CURRENTS
CHIRAL SYMMETRY
CURRENTS
DIRAC OPERATORS
EIGENVALUES
ELECTRODYNAMICS
ELEMENTARY PARTICLES
EUCLIDEAN SPACE
FERMIONS
FIELD THEORIES
MASS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARK CONDENSATION
QUARKS
RIEMANN SPACE
SPACE
SYMMETRY
TWO-DIMENSIONAL CALCULATIONS
WILSON LOOP