Functional renormalization of QCD in $1 + 1$ dimensions: four-fermion interactions from quark-gluon dynamics
Abstract
Quantum Chromodynamics in two spacetime dimensions is investigated with the Functional Renormalization Group. We use a functional formulation with covariant gauge fixing and derive Renormalization Group flow equations for the gauge coupling, quark mass and an algebraically complete set of local fermion-fermion interaction vertices. The flow, based on a convenient Callan-Symanzik-type regularization, shows the expected behavior for a super-renormalizable theory in the ultraviolet regime and leads to a strongly coupled regime in the infrared. Through a detailed discussion of symmetry implications, and variations in the gauge group and flavor numbers, the analysis sets the stage for a more detailed investigation of the bound state spectrum in future work.
Keywords
Cite
@article{arxiv.2412.16051,
title = {Functional renormalization of QCD in $1 + 1$ dimensions: four-fermion interactions from quark-gluon dynamics},
author = {Eric Oevermann and Adrian Koenigstein and Stefan Floerchinger},
journal= {arXiv preprint arXiv:2412.16051},
year = {2025}
}
Comments
References added and typos in text corrected, (23 + 6) pages