Improved results for N=(2,2) super Yang-Mills theory using supersymmetric discrete light-cone quantization

TL;DR

This paper improves the numerical analysis of (1+1)-dimensional ${ m N}=(2,2)$ super Yang-Mills theory using supersymmetric discrete light-cone quantization, focusing on the low-mass spectrum and stress-energy correlator.

Contribution

It provides a high-precision study of the low-mass spectrum and stress-energy correlator in ${ m N}=(2,2)$ super Yang-Mills theory using supersymmetric DLCQ, revealing the mass gap closure and correlator behavior.

Findings

Mass gap closes as resolution increases

Correlator behaves like r^{-4.75} in intermediate region

Numerical results support continuum limit behavior

Abstract

We consider the (1+1)-dimensional ${\cal N}=(2,2)$ super Yang--Mills theory which is obtained by dimensionally reducing ${\cal N}=1$ super Yang--Mills theory in four dimension to two dimensions. We do our calculations in the large-$N_c$ approximation using Supersymmetric Discrete Light Cone Quantization. The objective is to calculate quantities that might be investigated by researchers using other numerical methods. We present a precision study of the low-mass spectrum and the stress-energy correlator $<T^{++}(r) T^{++}(0)>$. We find that the mass gap of this theory closes as the numerical resolution goes to infinity and that the correlator in the intermediate $r$ region behaves like $r^{-4.75}$.