Dynamical Zero Modes and Pure Glue ${\bf{\rm{QCD}}_{1+1}}$ in Light-Cone Field Theory

Details Dynamical Zero Modes and Pure Glue ${\bf{\rm{QCD}}_{1+1}}$ in Light-Cone Field Theory Dynamical Zero Modes and Pure Glue ${\bf{\rm{QCD}}_{1+1}}$ in Light-Cone Field Theory

1994-03-07

arxiv.org/abs/hep-th/9403038v3

Phys.Rev. D50 (1994) 6633-6639

Physics

High Energy Physics

High Energy Physics - Theory

13 pages LaTex report#: OHSTPY-HEP-TH-94-001, MPIH-V9-94 Revised version 2-- minor changes to equations and discussion. Submit

Scientific paper

10.1103/PhysRevD.50.6633

We consider light-cone quantized ${\rm{QCD}}_{1+1}$ on a `cylinder' with periodic boundary conditions on the gluon fields. This is the framework of discretized light-cone quantization. We review the argument that the light-cone gauge $A^+=0$ is not attainable. The zero mode is a dynamical and gauge invariant field. The attainable gauge has a Gribov ambiguity. We exactly solve the problem of pure glue theory coupled to some zero mode external sources. We verify the identity of the front and the more familiar instant form approaches. We obtain a discrete spectrum of vacuum states and their wavefunctions.

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