Induced QCD

Date

2023/04/05(Wed)14:00〜15:00

Venue

Hybrid On-site: Kenkyu-Honkan Seminar room, Online: Zoom

Speaker

Prof. Tilo Wettig (University of Regensburg)

Language

English

URL

Contact

Protik Mohanta / protick-AT-post.kek.jp


Overview

We explore an alternative discretization of continuum SU($N_c$) Yang-Mills theory on a Euclidean spacetime lattice, originally introduced by Budzcies and Zirnbauer. In this discretization the self-interactions of the gauge field are induced by a path integral over $N_b$ auxiliary boson fields, which are coupled linearly to the gauge field. The main progress compared to earlier approaches is that $N_b$ can be as small as $N_c$. We show analytically and numerically that the continuum limit of the new discretization reproduces Yang-Mills theory and perform a perturbative calculation to match the bare parameter of the induced gauge theory to the standard lattice coupling. We also explore the possibility to integrate out the gauge fields to arrive at a dual formulation of lattice QCD.

Release date 2023/04/14 Updated 2024/06/19