Light-Front QCD(1+1) Coupled to Chiral Adjoint Fermions

Abstract

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 θvacuum. 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 θvacuum. 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.

14 pages, RevTeX, two figures requiring BoxedEPS.tex. References added and some typos corrected

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Cited by in corpus (11)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Nonperturbative light-front Hamiltonian methods
• Vacuum Structure of Two-Dimensional Gauge Theories on the Light Front
• Nonperturbative renormalization and the electron's anomalous moment in large-alpha QED
• SDLCQ: Supersymmetric Discrete Light Cone Quantization
• DLCQ Bound States of N =(2,2) Super-Yang-Mills at Finite and Large N
• The DLCQ Spectrum of N=(8,8) Super Yang-Mills
• The Light-Cone Vacuum in 1+1 Dimensional Super-Yang-Mills Theory
• Matrix Theories from Reduced SU(N) Yang-Mills with Adjoint Fermions
• (1+1)-Dimensional Yang-Mills Theory Coupled to Adjoint Fermions on the Light Front
• Calculations with DLCQ