English

Regularization Dependence of the Zero Mode Dynamics in the Schwinger Model

High Energy Physics - Theory 2009-10-22 v2

Abstract

I compare heatkernel regularization with sharp gauge invariant cutoffs in the Hamiltonian formulation of the Coulomb gauged Schwinger model on a circle. The effective potential for the zero mode of the gauge field in a given fermionic configuration is different in these two regularizations, the difference being independent of the chosen fermionic configuration. In the continuum limit the gauge field can be localized or delocalized depending on the regulator.

Keywords

Cite

@article{arxiv.hep-th/9312056,
  title  = {Regularization Dependence of the Zero Mode Dynamics in the Schwinger Model},
  author = {Klaus Lucke},
  journal= {arXiv preprint arXiv:hep-th/9312056},
  year   = {2009}
}

Comments

7 pages, latex , (revised because of TEX problem)

R2 v1 2026-07-22T15:48:17.987Z