A simulation of the Schwinger model in the overlap formalism

Details A simulation of the Schwinger model in the overlap formalism A simulation of the Schwinger model in the overlap formalism

1995-03-12

arxiv.org/abs/hep-lat/9503013v1

Phys.Lett. B353 (1995) 507-512

Physics

High Energy Physics

High Energy Physics - Lattice

Plain TeX file, 9 pages.

Scientific paper

10.1016/0370-2693(95)00558-3

In the continuum, the single flavor massless Schwinger model has an exact global axial $U(1)$ symmetry in the sector of perturbative gauge fields. This symmetry is explicitly broken by gauge fields with nonzero topological charge inducing a nonzero expectation value for the bilinear $\bar\psi\psi$. We show that a lattice formulation of this model, using the overlap formalism to treat the massless fermions, explicitly exhibits this phenomenon. A Monte Carlo simulation of the complete system yields the correct value of the fermion condensate and shows unambiguously that it originates from the sector of topological charge equal to unity.

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