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arXiv · 2501.18352

't Hooft model in the temporal gauge

Paul Hoyer
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Abstract

I consider QCD$_2$ in the $N_c \to \infty$ limit at fixed $g^2N_c$. The derivation starts from equal-time $q\bar q$ bound states in coordinate space and temporal ($A^0=0$) gauge, avoiding the use of quark and gluon propagators. The wave function is given analytically by a $_1F_1$ function with an explicit frame dependence. In the infinite momentum frame the Fourier transformed wave function satisfies the 't~Hooft equation, however with contributions also from quarks with negative kinetic energy. Such contributions are present also in the rest frame, and do not vanish under boosts.

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Paul Hoyer. 2025-01-30. 't Hooft model in the temporal gauge. https://doi.org/10.1103/physrevd.111.074021

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