Exact lattice chiral symmetry in 2d gauge theory

Date

2024/01/23 11:00 – 12:00

Venue

Online (Zoom)

Speaker

Dr. Cherman Aleksey (School of Physics and Astronomy, University of Minnesota)

Language

English

URL

Contact

Kohtaroh MIURA / kohmiura-AT-post.kek.jp


Overview

Preserving the symmetries of massless fermions is a well-known challenge in lattice field theory. I’ll discuss symmetry-preserving lattice regularizations of 2d QED with one and two flavors of Dirac fermions, as well as the `3450′ chiral gauge theory. The construction leverages bosonization and recently-proposed modifications of Villain-type lattice actions. The internal global symmetries act just as locally on the lattice as they do in the continuum, the anomalies are reproduced at finite lattice spacing, and in each case we’ve found a sign-problem-free dual formulation.

Release date 2024/01/17 Updated 2024/03/02