Fractons in Twisted Multiflavor Schwinger Model

Abstract

We consider two-dimensional QED with several fermion flavors on a finite spatial circle. A modified version of the model with {\em flavor-dependent} boundary conditions ${\psi }_p(L)=e^{2\pi ip/N}{\psi }_p(0)$, $p=1,\dots ,N$ is discussed ($N$ is the number of flavors). In this case a non-contactable contour in the space of the gauge fields is {\em not} determined by large gauge transformations. The Euclidean path integral acquires the contribution from the gauge field configurations with fractional topological charge. The configuration with $\nu =1/N$ is responsible for the formation of the fermion condensate $⟨{\bar{\psi }}_p{\psi }_p{⟩}_0$. The condensate dies out as a power of $L^{-1}$ when the length $L$ of the spatial box is sent to infinity. Implications of this result for non-abelian gauge field theories are discussed in brief.

29 pages, 3 figures available upon request, Report TPI-MINN-94-24-T Plain LATEX

References in corpus (4)

• Instantons and fermion condensate in adjoint QCD_2
• Instantons in Schwinger Model
• Finite Temperature Correlators in the Schwinger Model
• Quark confinement , topological susceptibility and all that in 4 dimensional gluodynamics

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