Functional renormalization of QCD in 1 + 1 dimensions: Four-fermion interactions from quark-gluon dynamics

27 May 2025, 16:00
1h
Aula Renzo Leonardi (ECT*)

Aula Renzo Leonardi

ECT*

Strada delle Tabarelle 286, I-38123 Villazzano (Trento)

Speaker

Eric Oevermann (Friedrich Schiller University Jena, Institute for Theoretical Physics (TPI))

Description

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.

Authors

Dr Adrian Koenigstein (Friedrich Schiller University Jena, Institute for Theoretical Physics (TPI)) Eric Oevermann (Friedrich Schiller University Jena, Institute for Theoretical Physics (TPI)) Prof. Stefan Floerchinger (Friedrich Schiller University Jena, Institute for Theoretical Physics (TPI))

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