2023
04/05
OPEN
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.