The Invariant fermion correlator in the Schwinger model on the torus

Jul, 1994
19 pages
Published in:
  • Phys.Rev.D 51 (1995) 5915-5923
e-Print:
Report number:
  • SUNY-NTG-94-28

Citations per year

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Abstract:
We construct the gauge invariant fermion correlator in the Schwinger model on the torus. At zero temperature, this correlator falls off with a rate given by the Coulomb energy of an infinitely heavy charge. At high temperature, the screening mass approaches πT/2\pi T/2, and this in the presence of a mass gap. The fractional Matsubara frequency arises from the action of a pair of induced merons at high temperature that are localized over a range on the order of the meson Compton wavelength 1/m=π/g1/m=\sqrt{\pi}/g. We discuss the quenched approximation in this model, and comment on the possible relevance of some of these results to higher dimensions.
  • Schwinger model
  • dimension: 2
  • space-time: torus
  • fermion: propagator
  • invariance: gauge
  • finite temperature
  • charge: topological
  • operator product expansion
  • approximation: screening
  • dimensional reduction