New Way to Compute Excited States and Thermodynamics: Monte Carlo Hamiltonian

TL;DR

This paper introduces a Monte Carlo Hamiltonian method for calculating excited states and thermodynamical properties on the lattice, showing improved stability and agreement with traditional approaches.

Contribution

The novel Monte Carlo Hamiltonian approach enables efficient computation of excited states and thermodynamics with reduced fluctuations compared to standard lattice methods.

Findings

Agreement with standard lattice calculations

Lesser fluctuations in results

Effective computation of excited states

Abstract

We present a new way to compute thermodynamical observables on the lattice. We compute excited states and thermodynamical functions in the scalar model via the Monte Carlo Hamiltonian technique. We find agreement with standard Lagrangian lattice calculations, but observe lesser fluctuations in the results from the MC Hamiltonian.