Instantaneous stochastic perturbation theory

TL;DR

This paper introduces a novel stochastic perturbation theory where stochastic fields are generated instantaneously, simplifying calculations in lattice QCD and ensuring correctness to all orders.

Contribution

It presents a new instantaneous approach to stochastic perturbation theory that is valid for a broad class of field theories, including lattice QCD.

Findings

Method is correct to all orders of expansion

Applicable to all common lattice QCD formulations

Simplifies stochastic perturbation calculations

Abstract

A form of stochastic perturbation theory is described, where the representative stochastic fields are generated instantaneously rather than through a Markov process. The correctness of the procedure is established to all orders of the expansion and for a wide class of field theories that includes all common formulations of lattice QCD.