Light-Front QCD: Role of Longitudinal Boundary Integrals

Details Light-Front QCD: Role of Longitudinal Boundary Integrals Light-Front QCD: Role of Longitudinal Boundary Integrals

1993-02-24

arxiv.org/abs/hep-th/9302119v2

Phys.Rev. D48 (1993) 4868-4880

Physics

High Energy Physics

High Energy Physics - Theory

29, OSU-NT-#93-0122

Scientific paper

10.1103/PhysRevD.48.4868

In the canonical light-front QCD, the elimination of unphysical gauge degrees of freedom leads to a set of boundary integrals which are associated with the light-front infrared singularity. We find that a consistent treatment of the boundary integrals leads to the cancellation of the light-front linear infrared divergences. For physical states, the requirement of finite energy density in the light-front gauge $(A_a^+=0)$ results in equations which determine the asymptotic behavior of the transverse (physical) gauge degrees of freedom at longitudinal infinity. These asymptotic fields are generated by the boundary integrals and they are responsible for the topological winding number. They also involve non-local behavior in the transverse direction that leads to non-local forces.

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