Numerical Stochastic Perturbation Theory for full QCD

TL;DR

This paper details the Numerical Stochastic Perturbation Theory method for Lattice Gauge Theories, emphasizing the efficient inclusion of dynamical fermions, analyzing convergence, and presenting benchmark results and new calculations for Wilson loops and fermion masses.

Contribution

It introduces a comprehensive account of NSPT for full QCD, highlighting the efficient handling of dynamical fermions and providing new benchmark and perturbative results.

Findings

Dynamical fermions are computationally inexpensive in NSPT.

Benchmark calculations demonstrate the method's effectiveness.

New results for Wilson loops and 3-loop critical mass are presented.

Abstract

We give a full account of the Numerical Stochastic Perturbation Theory method for Lattice Gauge Theories. Particular relevance is given to the inclusion of dynamical fermions, which turns out to be surprisingly cheap in this context. We analyse the underlying stochastic process and discuss the convergence properties. We perform some benchmark calculations and - as a byproduct - we present original results for Wilson loops and the 3-loop critical mass for Wilson fermions.