Lattice Schwinger Model with interpolated Gauge Fields

Abstract

We analyze the Schwinger model on an infinite lattice using the continuum definition of the fermion determinant and a linear interpolation of the lattice gauge fields. The possible class of interpolations for the gauge fields, compatible with gauge invariance is discussed. The effective action for the lattice gauge field is computed for the Wilson formulation as well as for non-compact lattice gauge fields. For the non-compact formulation we prove that the model has a critical point with diverging correlation length at zero gauge coupling e. We compute the chiral condensate for e > 0 and compare the result to the N-flavor continuum Schwinger model. This indicates that there is only one flavor of fermions with the same chiral properties as in the continuum model, already before the continuum limit is performed. We discuss how operators have to be renormalized in the continuum limit to obtain the continuum Schwinger model.

14 pages

References in corpus (7)

• Lattice Regularization of Gauge Theories Without Loss of Chiral Symmetry
• Continuum Gauge Fields from Lattice Gauge Fields
• Functional Integral Approach to the N-Flavor Schwinger Model
• The Schwinger Model on the lattice in the Microcanonical Fermionic Average approach
• Lee-Yang zeroes in the one flavour massive lattice Schwinger model
• A method for putting chiral fermions on the lattice
• On the Phase Structure of the Schwinger Model with Wilson Fermions

Cited by in corpus (6)

• Density Matrix Renormalisation Group Approach to the Massive Schwinger Model
• Massive Schwinger model within mass perturbation theory
• Theta vacuum effects on the chiral condensation and the eta^prime meson correlators in the two-flavor massive QED_2 on the lattice
• Sum Rules for the Dirac Spectrum of the Schwinger Model
• Renormal-order improvement of the Schwinger mass
• Lattice Regularization of the Chiral Schwinger Model