Wave functions and properties of massive states in three-dimensional supersymmetric Yang-Mills theory

Abstract

We apply supersymmetric discrete light-cone quantization (SDLCQ) to the study of supersymmetric Yang-Mills theory on R x S^1 x S^1. One of the compact directions is chosen to be light-like and the other to be space-like. Since the SDLCQ regularization explicitly preserves supersymmetry, this theory is totally finite, and thus we can solve for bound-state wave functions and masses numerically without renormalizing. We present an overview of all the massive states of this theory, and we see that the spectrum divides into two distinct and disjoint sectors. In one sector the SDLCQ approximation is only valid up to intermediate coupling. There we find a well defined and well behaved set of states, and we present a detailed analysis of these states and their properties. In the other sector, which contains a completely different set of states, we present a much more limited analysis for strong coupling only. We find that, while these state have a well defined spectrum, their masses grow with the transverse momentum cutoff. We present an overview of these states and their properties.

RevTeX, 25 pages, 16 figures

Cited by in corpus (18)

• Nonperturbative light-front Hamiltonian methods
• N=(1,1) Super Yang-Mills on a (2+1) Dimensional Transverse Lattice with one Exact Supersymmetry
• N=1 super Yang-Mills on a (3+1) dimensional transverse lattice with one exact supersymmetry
• On the Spectrum of QCD(1+1) with SU(N_c) Currents
• Spectrum and thermodynamic properties of two-dimensional N=(1,1) super Yang-Mills theory with fundamental matter and a Chern-Simons term
• N=(1,1) super Yang--Mills theory in 1+1 dimensions at finite temperature
• Anomalously light mesons in a (1+1)-dimensional supersymmetric theory with fundamental matter
• Anomalously light states in super-Yang-Mills Chern-Simons theory
• Physics at the Light-Front
• Simulation of Dimensionally Reduced SYM-Chern-Simons Theory
• Properties of the Bound States of Super-Yang-Mills-Chern-Simons Theory
• Spectrum of N=1 massive super Yang-Mills theory with fundamental matter in 1+1 dimensions
• Two-dimensional super Yang-Mills theory investigated with improved resolution
• High Resolution Nonperturbative Light-Front Simulations of the True Muonium Atom
• QCD Phenomenology and Light-Front Wavefunctions
• Wave functions and spectra from (S)DLCQ
• Numerical Simulations of N=(1,1) SYM{1+1} with Large Supersymmetry Breaking
• DLCQ On a Twisted Torus