English

The overlap passes a chiral dynamical test in two dimensions

High Energy Physics - Lattice 2009-10-30 v1

Abstract

A certain U(1) model in 2 dimensions, describing four right handed unit charged Weyl fermions interacting with one doubly charged left handed Weyl fermion, is exactly soluble and has massless Majorana-Weyl composites. Instanton induced fermion number violation is essential for 't Hooft anomaly consistency. The associated 't Hooft vertex can be analytically computed in the continuum, including finite size corrections. This number is reproduced in a dynamical simulation employing the overlap.

Keywords

Cite

@article{arxiv.hep-lat/9709148,
  title  = {The overlap passes a chiral dynamical test in two dimensions},
  author = {Yoshio Kikukawa and Herbert Neuberger},
  journal= {arXiv preprint arXiv:hep-lat/9709148},
  year   = {2009}
}

Comments

Talk given at Lattice '97, Edinburgh. 3 pages, LaTeX using espcrc2.sty, with one eps figure

R2 v1 2026-07-22T13:22:07.816Z