DLCQ Bound States of N =(2,2) Super-Yang-Mills at Finite and Large N

Abstract

We consider the 1+1 dimensional N = (2,2) supersymmetric matrix model which is obtained by dimensionally reducing N = 1 super Yang-Mills from four to two dimensions. The gauge groups we consider are U(Nc) and SU(Nc), where Nc is finite but arbitrary. We adopt light-cone coordinates, and choose to work in the light-cone gauge. Quantizing this theory via Discretized Light-Cone Quantization (DLCQ) introduces an integer, K, which restricts the light-cone momentum-fraction of constituent quanta to be integer multiples of 1/K. Solutions to the DLCQ bound state equations are obtained for K=2,3,...,6 by discretizing the light-cone supercharges, which results in a supersymmetric spectrum. Our numerical results imply the existence of normalizable massless states in the continuum limit K -> infinity, and therefore the absence of a mass gap. The low energy spectrum is dominated by string-like (or many parton) states. Our results are consistent with the claim that the theory is in a screening phase.

LaTeX, 20 pages. One Encapsulated PostScript Figure

References in corpus (12)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Matrix String Theory
• Strings from Matrices
• Proposals on nonperturbative superstring interactions
• The Spectrum of a Large N Gauge Theory Near Transition from Confinement to Screening
• Light-Cone Wavefunctions at Small $x$
• 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
• Matrix Theories from Reduced SU(N) Yang-Mills with Adjoint Fermions
• (1+1)-Dimensional Yang-Mills Theory Coupled to Adjoint Fermions on the Light Front
• Screening in Supersymmetric Gauge Theories in Two Dimensions
• Decoupling of Zero-Modes and Covariance in the Light-Front Formulation of Supersymmetric Theories

Cited by in corpus (24)

• Supersymmetry on a Euclidean Spacetime Lattice I: A Target Theory with Four Supercharges
• Two-dimensional N=(2,2) super Yang-Mills theory on the lattice via dimensional reduction
• Can DLCQ test the Maldacena Conjecture?
• SDLCQ: Supersymmetric Discrete Light Cone Quantization
• The String Tension in Two Dimensional Gauge Theories
• Super Yang-Mills at Weak, Intermediate and Strong Coupling
• The Mass Spectrum of N=1 SYM(2+1) at Strong Coupling
• Wave functions and properties of massive states in three-dimensional supersymmetric Yang-Mills theory
• Two-dimensional N=(2,2) super Yang-Mills theory on computer
• Some physics of the two-dimensional $\mathcal{N}=(2,2)$ supersymmetric Yang-Mills theory: Lattice Monte Carlo study
• The Light-Cone Vacuum in 1+1 Dimensional Super-Yang-Mills Theory
• On the Spectrum of QCD(1+1) with SU(N_c) Currents
• Improved results for N=(2,2) super Yang-Mills theory using supersymmetric discrete light-cone quantization
• Anomalously light mesons in a (1+1)-dimensional supersymmetric theory with fundamental matter
• Anomalously light states in super-Yang-Mills Chern-Simons theory
• Simulation of Dimensionally Reduced SYM-Chern-Simons Theory
• Properties of the Bound States of Super-Yang-Mills-Chern-Simons Theory
• Dimensionally reduced SYM${}_4$ at large-$N$: an intriguing Coulomb approximation
• Mass spectrum of $2$-dimensional $\mathcal{N}=(2,2)$ super Yang-Mills theory on the lattice
• Spectrum of N=1 massive super Yang-Mills theory with fundamental matter in 1+1 dimensions
• The Perils of `Soft' SUSY Breaking
• Renormalizing DLCQ Using Supersymmetry
• Supersymmetry and DLCQ
• Numerical Simulations of N=(1,1) SYM{1+1} with Large Supersymmetry Breaking