On the Weak Coupling Limit for Massive Yang-Mills

TL;DR

This paper compares lattice Monte Carlo simulations and perturbative field theory calculations for massive Yang-Mills theory at weak coupling, confirming the lattice's role as a regularization and clarifying parameter meanings.

Contribution

It demonstrates the agreement between lattice and perturbative results for vacuum energy and order parameter densities, supporting the lattice regularization of nonrenormalizable massive Yang-Mills.

Findings

Good fit of simulation and perturbative results away from phase transition

Lattice acts as a regularization for massive Yang-Mills

Clarification of physical parameters in simulations

Abstract

For small values of the gauge coupling constant, we compare the densities of the energy of the vacuum and of the order parameter, evaluated in the lattice Monte Carlo simulation and in the perturbative field theory at two loop (Minkowski). The continuum calculation allows a very good fit of the simulation results, away from the phase transition line. This confirms the conjecture that the lattice provides a regularization of the (nonrenormalizable) massive Yang-Mills and moreover it shows the physical meaning of the parameters used in the simulation.