Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-12-18
Phys.Lett. B379 (1996) 169-178
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, RevTeX, two figures requiring BoxedEPS.tex. References added and some typos corrected
Scientific paper
10.1016/0370-2693(96)00252-3
We consider SU(N) gauge theory in 1+1 dimensions coupled to chiral fermions in the adjoint representation of the gauge group. With all fields in the adjoint representation the gauge group is actually SU(N)/Z_N, which possesses nontrivial topology. In particular, there are N distinct topological sectors and the physical vacuum state has a structure analogous to a \theta vacuum. We show how this feature is realized in light-front quantization for the case N=2, using discretization as an infrared regulator. In the discretized form of the theory the nontrivial vacuum structure is associated with the zero momentum mode of the gauge field A^+. We find exact expressions for the degenerate vacuum states and the analog of the \theta vacuum. The model also possess a condensate which we calculate. We discuss the difference between this chiral light-front theory and the theories that have previously been considered in the equal-time approach.
Pinsky Stephen S.
Robertson David G.
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