Hamiltonian, path integral and BRST formulations of large scalar QCD on the lightfront and spontaneous symmetry breaking
Abstract
Recently Grinstein, Jora, and Polosa have studied a theory of large scalar quantum chromodynamics in one space and one time dimension. This theory admits a BetheSalpeter equation describing the discrete spectrum of quarkantiquark bound states. They consider gauge fields in the adjoint representation of and scalar fields in the fundamental representation. The theory is asymptotically free and linearly confining. The theory could possibly provide a good field theoretic framework for the description of a large class of diquarkantidiquark (tetraquark) states. Recently we have studied the lightfront quantization of this theory without a Higgs potential. In the present work, we study the lightfront Hamiltonian, path integral, and BRST formulations of the theory in the presence of a Higgs potential. The lightfront theory is seen to be gauge invariant, possessing a set of firstclass constraints. The explicit occurrence of spontaneous symmetry breaking in the theory is shown in unitary gauge as well as in the lightfront 't Hooft gauge.
 Publication:

European Physical Journal C
 Pub Date:
 April 2015
 DOI:
 10.1140/epjc/s100520153377x
 arXiv:
 arXiv:1503.06177
 Bibcode:
 2015EPJC...75..174K
 Keywords:

 High Energy Physics  Theory
 EPrint:
 Accepted for publication in Eur. Phys. J. C