Abstract
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 language | English (US) |
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Pages (from-to) | 7659-7672 |
Number of pages | 14 |
Journal | Physical Review D |
Volume | 50 |
Issue number | 12 |
DOIs | |
State | Published - 1994 |