Super Yang-Mills at Weak, Intermediate and Strong Coupling

Abstract

We consider three dimensional SU(N) N=1 super-Yang-Mills compactified on the space-time R X S^1 X S^1. In particular, we compactify the light-cone coordinate x^- on a light-like circle via DLCQ, and wrap the remaining transverse coordinate on a spatial circle. By retaining only the first few excited modes in the transverse direction, we are able to solve for bound state wave functions and masses numerically by diagonalizing the discretized light-cone supercharge. This regularization of the theory is shown to preserve supersymmetry. We plot bound state masses as a function of the coupling, showing the transition in particle masses as we move from a weakly to a strongly-coupled theory. We analyze both numerically and analytically massless states which exist only in the limit of strong or weak gauge coupling. In addition, we find massless states that persist for all values of the gauge coupling. An analytical treatment of these massless states is provided. Interestingly, in the strong coupling limit, these massless states become string-like.

18 pages, Latex; 3 Figures (Encapsulated PostScript)

References in corpus (6)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Bound States of Dimensionally Reduced {SYM}_{2+1} at Finite N
• Non-Perturbative Spectrum of Two Dimensional (1,1) Super Yang-Mills at Finite and Large N
• DLCQ Bound States of N =(2,2) Super-Yang-Mills at Finite and Large N
• The DLCQ Spectrum of N=(8,8) Super Yang-Mills
• On Exact Supersymmetry in DLCQ

Cited by in corpus (20)

• SDLCQ: Supersymmetric Discrete Light Cone Quantization
• Wave functions and properties of massive states in three-dimensional supersymmetric Yang-Mills theory
• The Mass Spectrum of N=1 SYM(2+1) at Strong Coupling
• The Light-Cone Vacuum in 1+1 Dimensional Super-Yang-Mills Theory
• 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
• 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
• Two-Point Stress-Tensor Correlator in N=1 SYM(2+1)
• Anomalously light mesons in a (1+1)-dimensional supersymmetric theory with fundamental matter
• Simulation of Dimensionally Reduced SYM-Chern-Simons Theory
• Anomalously light states in super-Yang-Mills Chern-Simons theory
• Approximate BPS states
• 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
• Renormalizing DLCQ Using Supersymmetry
• 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