28 July 2024 to 3 August 2024
Europe/London timezone

Low-Lying Spectrum of Two-Dimensional Adjoint QCD from the Lattice

30 Jul 2024, 14:45
20m
Talk Applications Outside Particle Physics Applications outside particle physics

Speaker

Patrick Oare (Massachusetts Institute of Technology)

Description

Two-dimensional adjoint QCD is the theory of a single Majorana fermion coupled to an SU(N) gauge field in the adjoint representation in (1+1) spacetime dimensions. The theory has been studied as a toy model of confinement in gauge theories: it confines test charges when the adjoint fermion is massive but deconfines when the adjoint fermion is massless. We present a preliminary calculation of the low-lying spectrum of two-dimensional adjoint QCD for $N = 2$ colors using a Wilson discretization of the fermion action. The Wilson term radiatively generates a four-fermion coupling that is not present in the standard adjoint QCD action, which flows to zero in the continuum. The presence of this term and its implications for future lattice Monte Carlo simulations of adjoint QCD are discussed.

Primary authors

Dr Manki Kim (Massachusetts Institute of Technology) Dr Neill Warrington (Massachusetts Institute of Technology) Patrick Oare (Massachusetts Institute of Technology) Phiala Shanahan (Massachusetts Institute of Technology) William Jay (MIT)

Presentation materials