't Hooft model in the temporal gauge

Abstract

I consider QCD2 in the Nc ∞ limit at fixed g2Nc. The derivation starts from equal-time q q bound states in coordinate space and temporal (A0=0) gauge, avoiding the use of quark and gluon propagators. The wave function is given analytically by a 1F1 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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