Why is Adjoint QCD2 so Insensitive to Nc?

ORAL

Abstract

The spectrum of two-dimensional adjoint QCD is surprisingly insensitive to the number of colors Nc​. Many nominal finite-Nccontributions must vanish due to the singularity structure of the theory. A small set of surviving finite Nc terms modify the spectrum as seen in numerical studies. Several parton‑number–changing corrections vanish independently of finiteness requirements, and only one trace-diagonal finite-Nc correction remains. These cancellations hint at an additional symmetry of the theory. They also suggest that focusing on matrix elements, rather than contributions of individual single-momentum states, can simplify the computation of spectra in gauge theories with large symmetry.

In the talk I will review these findings, and suggest tests of the conjecture that some matrix elements only vanish between physical states. This should further clarify the nature of the suspected additional symmetry of adjoint QCD2.

Publication: Phys.Rev. D 110 (2024) 6, 065023

Presenters

  • Uwe Trittmann

    Otterbein University

Authors

  • Uwe Trittmann

    Otterbein University