Quantum chaos and regularity in $\Phi^4$ theory

TL;DR

This paper investigates the eigenvalue spectrum of the 1+1 dimensional $\

Contribution

It applies random matrix theory to analyze the spectral properties of the $\

Findings

Eigenvalue spectrum shows Poisson or Wigner behavior.

Random matrix theory helps distinguish model Hamiltonians.

Comparison with analytical and experimental data discussed.

Abstract

We check the eigenvalue spectrum of the $\Phi^{4}_{1+1}$ Hamiltonian against Poisson or Wigner behavior predicted from random matrix theory. We discuss random matrix theory as a tool to discriminate the validity of a model Hamiltonian compared to an analytically solvable Hamiltonian or experimental data.