Fractons in the twisted multiflavor Schwinger model

M. A. Shifman, A. V. Smilga

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29 Scopus citations


We consider two-dimensional QED with several fermion flavors on a finite spatial circle. We impose flavor-dependent boundary conditions p(L)=e2ip/Np(0), p=1,...,N where 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/N. The configuration with =1/N is responsible for the formation of the fermion condensate pp0. 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.

Original languageEnglish (US)
Pages (from-to)7659-7672
Number of pages14
JournalPhysical Review D
Issue number12
StatePublished - 1994


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