singularities in the null - plane bound - state equation when going to 1 + 1 dimensions
نویسنده
چکیده
In this paper we first consider the null-plane bound-state equation for a q ¯ 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.
منابع مشابه
Infrared singularities in the null-plane bound-state equation when going to 111 dimensions
In this paper we first consider the null-plane bound-state equation for a qq̄ pair in 113 dimensions and in the lowest-order Tamm-Dancoff approximation. The 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 111 dimensions, becomes ’t Hooft’s bound-state equation, which is characterized by an ...
متن کاملRings of Singularities
This paper is a slightly revised version of an introduction into singularity theory corresponding to a series of lectures given at the ``Advanced School and Conference on homological and geometrical methods in representation theory'' at the International Centre for Theoretical Physics (ICTP), Miramare - Trieste, Italy, 11-29 January 2010. We show how to associate to a triple of posit...
متن کاملv 1 2 4 M ay 2 00 1 On naked singularities in higher dimensional Vaidya space - times
We investigate the end state of gravitational collapse of null fluid in higher dimensional space-times. Both naked singularities and black holes are shown to be developing as final outcome of the collapse. The naked singularity spectrum in collapsing Vaidya region (4D) gets covered continuously with introduction of extra dimensions. PACS number(s): 04.20.Dw, 04.20.Cv, 04.70.Bw
متن کاملNaked Singularities in Dust Collapse as an Existence Problem for O.d.e. at a Singular Point
The final state of the gravitational collapse of a marginally bound dust cloud is formulated in terms of an existence problem for the non-linear differential equation governing radial null geodesics near the singular point. Rigorous results are proved, covering the complete spectrum of the possible initial data.
متن کاملScalar Multi-solitons on the Fuzzy Sphere
We study solitons in scalar theories with polynomial interactions on the fuzzy sphere. Such solitons are described by projection operators of rank k, and hence the moduli space for the solitons is the Grassmannian Gr(k, 2j+1). The gradient term of the action provides a non-trivial potential on Gr(k, 2j+1), thus reducing the moduli space. We construct configurations corresponding to wellseparate...
متن کامل