Work

Dirac states from the ’t Hooft model

Year: 2026

Type: article

Abstract: The dynamics of a light fermion bound to a heavy one is expected to be described by the Dirac equation with an external potential. The potential breaks translation invariance, whereas the bound state momentum is well defined. Boosting the bound state determines the frame dependence of the light fermion dynamics. I study the Dirac limit of QCD 2 in the limit of N c → ∞ . The light quark wave function turns out to be independent of the frame of the bound state, up to an irrelevant Lorentz contraction. The discrete bound state spectrum determines corresponding discrete energies of the Dirac equation, which for a linear potential allows a continuous spectrum.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/g13x-2913

Author: Paul Hoyer

Institution: University of Helsinki

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funder: Helsingin Yliopisto

OpenAlex ID: W4416694296

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