English

Bound States of Dimensionally Reduced {SYM}_{2+1} at Finite N

High Energy Physics - Theory 2009-10-31 v1

Abstract

We consider the dimensional reduction of N=1 {SYM}_{2+1} to 1+1 dimensions. The gauge groups we consider are U(N) and SU(N), where N is finite. We formulate the continuum bound state problem in the light-cone formalism, and show that any normalizable SU(N) bound state must be a superposition of an infinite number of Fock states. We also discuss how massless states arise in the DLCQ formulation for certain discretizations.

Keywords

Cite

@article{arxiv.hep-th/9803027,
  title  = {Bound States of Dimensionally Reduced {SYM}_{2+1} at Finite N},
  author = {Francesco Antonuccio and Oleg Lunin and Stephen S. Pinsky},
  journal= {arXiv preprint arXiv:hep-th/9803027},
  year   = {2009}
}

Comments

14 pages, REVTEX