Infrared singularities in the null-plane bound-state equation when going to 1+1 dimensions

Details Infrared singularities in the null-plane bound-state equation when going to 1+1 dimensions Infrared singularities in the null-plane bound-state equation when going to 1+1 dimensions

1997-12-04

arxiv.org/abs/hep-th/9712044v1

Phys.Rev. D57 (1998) 3609-3617

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, revTeX, no figures

Scientific paper

10.1103/PhysRevD.57.3609

In this paper we first consider the null-plane bound-state equation for a $q \bar q$ pair in 1+3 dimensions and in the lowest-order Tamm-Dancoff approximation. Light-cone gauge is chosen with a causal prescription for the gauge pole in the propagator. Then we show that this equation, when dimensionally reduced to 1+1 dimensions, becomes 't Hooft's bound-state equation, which is characterized by an $x^+$-instantaneous interaction. The deep reasons for this coincidence are carefully discussed.

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