Fractons in the twisted multiflavor Schwinger model

Journal Article · Thu Dec 15 04:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.7659· OSTI ID:6829076

Shifman, M A; Smilga, A V ^[1]

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1. Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455 (United States)

We consider two-dimensional QED with several fermion flavors on a finite spatial circle. We impose [ital flavor[minus]dependent] boundary conditions [psi][sub [ital p]]([ital L])=[ital e][sup 2[pi][ital i][ital p]/[ital N]][psi][sub [ital p]](0), [ital p]=1,...,[ital N] where [ital N] is the number of flavors. In this case the Euclidean path integral acquires the contribution from the gauge field configurations with the fractional topological charge being an integer multiple of 1/[ital N]. The configuration with [nu]=1/[ital N] is responsible for the formation of the fermion condensate [l angle][bar [psi]][sub [ital p]][psi][sub [ital p]][r angle][sub 0]. The condensate dies out as a power of [ital L][sup [minus]1] when the length [ital L] of the spatial box is sent to infinity. Implications of this result for non-Abelian gauge field theories are discussed.

• DOE Contract Number: FG02-94ER40823
• OSTI ID: 6829076
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:12; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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BOUNDARY CONDITIONS
CONDENSATES
ELECTRODYNAMICS
FERMIONS
FIELD THEORIES
FLAVOR
MATHEMATICAL MODELS
ORGANOLEPTIC PROPERTIES
PARTICLE MODELS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
TWO-DIMENSIONAL CALCULATIONS
UNIFIED GAUGE MODELS