Instantons in the Schwinger model

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

DOI:https://doi.org/10.1103/PhysRevD.49.5480· OSTI ID:7206857

Smilga, A V ^[1]

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1. Institute for Theoretical Physics, University of California at Santa Barbara, Santa Barbara, California 93106-4030 (United States)

The known calculations of the fermion condensate [l angle][bar [psi]][psi][r angle] and the correlator [l angle][bar [psi]][psi]([ital x]) [bar [psi]][psi](0)[r angle] have been interpreted in terms of [ital localized] instanton solutions presenting the minima of path integrals [ital with] [ital quantum] [ital corrections] [ital being] [ital taken] [ital into] [ital account]. Their size is of the order of the massive photon Compton wavelength [mu][sup [minus]1]. At high temperature, these instantons become quasistatic and present the two-dimensional analog of the walls'' found recently in four-dimensional gauge theories. In spite of the static nature of these solutions, they should not be interpreted as thermal solitons'' living in Minkowski space: the mass of these would-be solitons does not display itself in the physical correlators. At small but nonzero fermion mass, the high-[ital T] partition function of two-dimensional QED is saturated by the rarified gas of instantons and antiinstantons with density [proportional to][ital m] exp[l brace][minus][ital S][sup inst][r brace]=[ital m] exp[l brace][minus][pi][ital T]/[mu][r brace] to be confronted with the dense strongly correlated instanton-antiinstanton liquid saturating the partition function at [ital T]=0.

• OSTI ID: 7206857
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 49:10; 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-)
662230 -- Quantum Chromodynamics-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONDENSATES
CORRECTIONS
ELECTRODYNAMICS
ELEMENTARY PARTICLES
FERMIONS
FEYNMAN PATH INTEGRAL
FIELD THEORIES
FUNCTIONS
INSTANTONS
INTEGRALS
MASSLESS PARTICLES
MATHEMATICAL SPACE
MINKOWSKI SPACE
PARTITION FUNCTIONS
QUANTUM CHROMODYNAMICS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUASI PARTICLES
SOLITONS
SPACE
VACUUM STATES