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

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.

14 pages, REVTEX

References in corpus (4)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• The Spectrum of a Large N Gauge Theory Near Transition from Confinement to Screening
• Light-Cone Wavefunctions at Small $x$
• Matrix Theories from Reduced SU(N) Yang-Mills with Adjoint Fermions

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