Exact Simulation of Loops in Lattice Gauge Theory

TL;DR

This paper introduces an exact simulation method for lattice gauge theory loops using the BFACF algorithm, enabling large-scale calculations of string tension corrections in SU(2) theory without lattice size limitations.

Contribution

It develops a novel exact simulation technique for loop states in lattice gauge theory, extending perturbation calculations to very high orders.

Findings

Calculated string tension corrections up to order g^64.

Demonstrated scalability to infinite lattice sizes.

Provided precise numerical results for SU(2) in 2+1 dimensions.

Abstract

We exploit the local loop dynamics calculated in prepotential formulation to compute the pertrubation expansion in the strong coupling limit of lattice gauge theory. A new exact simulation technique is developed to simulate all possible loop states on an infinite lattice using exact BFACF algorithm. This loop perturbation numerical calculations are free from any limitation on lattice size. Using this, we calculate the correction of string tension for SU(2) theory in 2+1 dimension upto order $g^{64}$.