Approximated seventh order calculation of vacuum wave function of 2+1 dimensional SU(2) lattice gauge theory

TL;DR

This paper employs coupled cluster expansion with the random phase approximation to compute the vacuum wave function and energy of 2+1 dimensional SU(2) lattice gauge theory up to seventh order, demonstrating good convergence.

Contribution

It introduces a high-order calculation method for the vacuum state of 2+1D SU(2) LGT using coupled cluster and RPA, showing improved accuracy and convergence.

Findings

Coefficients μ₀ and μ₂ exhibit good scaling behavior.

Vacuum energy and wave function calculated up to seventh order.

Results demonstrate convergence in high-order calculations.

Abstract

Using the coupled cluster expansion with the random phase approximation, we calculate the long wavelength vacuum wave function and the vacuum energy of 2+1 dimensional Hamiltonian SU(2) lattice gauge theory (LGT) up to the seventh order. The coefficients $\mu_0$, $\mu_2$ of the vacuum wave function show good scaling behavior and convergence in high order calculations.