Monte Carlo evaluation of a fermion number violating observable in 2D

Abstract

We describe in some detail a computer evaluation of a 't Hooft vertex in a two dimensional model using the overlap. The computer result agrees with the known exact continuum value, and in this sense our work is a first successful fully dynamical simulation of a chiral gauge theory on the lattice. We add some new data to numbers obtained earlier and provide a selfcontained description which should make it easy for others to reproduce and follow up on our work.

19 pages, TeX, contains five figures

References in corpus (1)

• Finite size corrections in two dimensional gauge theories and a quantitative chiral test of the overlap

Cited by in corpus (25)

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• A Study of Practical Implementations of the Overlap-Dirac Operator in Four Dimensions
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• Chiral Lattice Gauge Theories and The Strong Coupling Dynamics of a Yukawa-Higgs Model with Ginsparg-Wilson Fermions
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• Wilson, fixed point and Neuberger's lattice Dirac operator for the Schwinger model
• Overlap formula for the chiral multiplet
• Global obstructions to gauge-invariance in chiral gauge theory on the lattice
• Lattice chirality and the decoupling of mirror fermions
• On the gauge invariant path-integral measure for the overlap Weyl fermions in $\underline{16}$ of SO(10)
• Why is the mission impossible? -- Decoupling the mirror Ginsparg-Wilson fermions in the lattice models for two-dimensional abelian chiral gauge theories
• Ginsparg-Wilson Fermions: A study in the Schwinger Model
• Solving the local cohomology problem in U(1) chiral gauge theories within a finite lattice
• A simple construction of fermion measure term in U(1) chiral lattice gauge theories with exact gauge invariance
• Translational Anomaly in Chiral Gauge Theories on a Torus and the Overlap Formalism
• A construction of the Glashow-Weinberg-Salam model on the lattice with exact gauge invariance
• QED at a finite chemical potential
• Divergent chiral condensate in the quenched Schwinger model
• A numerical solution to the local cohomology problem in U(1) chiral gauge theories
• Bound states for Overlap and Fixed Point Actions close to the chiral limit
• Dirac zero-modes in compact U(1) gauge theory