1+1D Hadrons Minimize their Biparton Renyi Free Energy

TL;DR

This paper introduces a variational approach to compute the spectrum and parton distributions of 1+1D hadrons by minimizing a free energy functional combining kinetic energy and Renyi entanglement entropy, showing hadrons minimize this free energy.

Contribution

The paper presents a novel variational method that incorporates entanglement entropy into free energy minimization for analyzing 1+1D hadrons, extending previous techniques.

Findings

Hadrons minimize the proposed free energy functional.

The method accurately predicts the spectrum and parton distributions.

Results motivate applying the approach to higher-dimensional theories.

Abstract

We use a variational method to calculate the spectrum and the parton distribution function of ground state hadrons of various gauge theories in 1+1 dimensions. The template functions in our method minimize a free energy functional defined as a combination of free valence partons' kinetic energy on the lightcone and the Renyi entanglement entropy of biparton subsystems. Our results show that hadrons in these theories minimize the proposed free energy. The success of this technique motivates applying it to confining gauge theories in higher dimensions.