Mass Spectra of Supersymmetric Yang-Mills Theories in 1+1 Dimensions

TL;DR

This paper computes the mass spectra of 1+1 dimensional supersymmetric Yang-Mills theories using a novel infrared regularization in the light-cone gauge, revealing a rapidly increasing density of states with mass.

Contribution

It introduces a supersymmetric infrared regularization method for discretized light-cone quantization and performs exact diagonalization to analyze the mass spectrum.

Findings

Density of states increases rapidly with mass

Supercharges provide a clear regularization framework

Bound state spectrum analyzed up to several hundred states

Abstract

Physical mass spectra of supersymmetric Yang-Mills theories in 1+1 dimensions are evaluated in the light-cone gauge with a compact spatial dimension. The supercharges are constructed and the infrared regularization is unambiguously prescribed for supercharges, instead of the light-cone Hamiltonian. This provides a manifestly supersymmetric infrared regularization for the discretized light-cone approach. By an exact diagonalization of the supercharge matrix between up to several hundred color singlet bound states, we find a rapidly increasing density of states as mass increases.