Interpolated Lattice Gauge Fields and Chiral Fermions in the Schwinger Model
I. Montvay
TL;DR
This paper investigates the effective action of chiral fermions in the Schwinger model using interpolated lattice gauge fields, combining regularization techniques and numerical analysis to study convergence and gauge variance.
Contribution
It introduces a method combining Pauli-Villars regularization with momentum cut-off for evaluating fermion determinants on interpolated continuum gauge fields.
Findings
Convergence of the fermion determinant evaluation is demonstrated.
Gauge variance is quantitatively analyzed.
The approach is validated on quenched gauge configurations.
Abstract
The effective action induced by fermions in the chiral Schwinger model with charges (3,4,5) is investigated. Pauli-Villars regularization is combined with momentum cut-off for the evaluation of the fermion determinants on continuum gauge fields interpolated between lattice points. The convergence and gauge variance are studied numerically on gauge configurations taken from quenched updating.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · High-Energy Particle Collisions Research · Particle physics theoretical and experimental studies