Document Type
Article
Publication Date
6-27-1996
Publication Title
Physics Letters B
Publisher
Elsevier
Keywords
SU(N) Gauge Theory, Chiral Fermions, Chiral Light-Front Theory
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 , which possesses nontrivial topology. In particular, there are N distinct topological sectors and the physical vacuum state has a structure analogous to a θ 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 θ vacuum. The model also possesses 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.
First Page
169
Last Page
178
Volume
379
Issue
1 - 4
Repository Citation
Robertson, David G. and Pinksy, Stephen S., "Light Front QCD in (1+1)-Dimensions Coupled to Chiral Adjoint Fermions" (1996). Physics Faculty Scholarship. 21.
https://digitalcommons.otterbein.edu/phys_fac/21
Original Citation
Pinsky, S.S. & Robertson, D.G. (1996). Light front QCD in (1+1)-dimensions coupled to chiral adjoint fermions. Physics Letters B, 379(1-4), 169-178. DOI: 10.1016/0370-2693(96)00252-3
DOI
10.1016/0370-2693(96)00252-3
Version
Publisher's Version
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Peer Reviewed
1
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.