Mesonic Spectrum of Two Dimensional Supersymmetric Theories

Abstract

We consider a bound state problem for a family of supersymmetric gauge theories with fundamental matter. These theories can be obtained by a dimensional reduction of supersymmetric QCD from three dimensions to 1+1 and subsequent truncation of some of the fields. We find that the models without adjoint scalar converge to well-defined continuum limits and calculate the resulting spectra of these theories. We also find the critical value of coupling at which an additional massless state is observed. By contrast, the models containing adjoint scalars, seem to have a continuous mass spectrum in the limit of infinite volume.

23 pages, 12 figures

References in corpus (9)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Lectures on D-branes
• Lectures on D-branes, Gauge Theory and M(atrices)
• Bound States of Dimensionally Reduced {SYM}_{2+1} at Finite N
• On the Transition from Confinement to Screening in QCD_{1+1} Coupled to Adjoint Fermions at Finite N
• Non-Perturbative Spectrum of Two Dimensional (1,1) Super Yang-Mills at Finite and Large N
• Zero-Mode Problem on the Light Front
• The Light-Cone Vacuum in 1+1 Dimensional Super-Yang-Mills Theory
• Matrix Theories from Reduced SU(N) Yang-Mills with Adjoint Fermions

Cited by in corpus (13)

• Nonperturbative light-front Hamiltonian methods
• Application of Pauli-Villars regularization and discretized light-cone quantization to a single-fermion truncation of Yukawa 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
• 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
• Simulation of Dimensionally Reduced SYM-Chern-Simons Theory
• Anomalously light states in super-Yang-Mills 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
• Supergrassmannian and large N limit of quantum field theory with bosons and fermions
• Effects of a fundamental mass term in two-dimensional super Yang-Mills theory