Is Schwinger Model at Finite Density a Crystal?

Details Is Schwinger Model at Finite Density a Crystal? Is Schwinger Model at Finite Density a Crystal?

2006-09-06

arxiv.org/abs/hep-th/0609046v1

Phys.Rev.D75:045004,2007

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1103/PhysRevD.75.045004

It has been believed since the paper by Fischler, Kogut and Susskind (FKS) that in QED_2 at finite charge density the chiral condensate exhibits a spatially inhomogeneous, oscillating behaviour. In this paper we demonstrate that this inhomogeneity is due to unphysical explicit breaking of the translational invariance by a uniform background charge density. Moreover, we investigate in the context of a simple statistical model what happens if the neutralizing background is composed instead of heavy, but dynamical, particles. We find that in contrast to the standard picture of FKS, the chiral condensate will not exhibit coherent oscillations on large distance scales, unless the heavy neutralizing particles themselves form a crystal and the density is high.

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