Canonical simulations with worldlines: An exploratory study in ϕ24 lattice field theory

Abstract

In this paper, we explore the perspectives for canonical simulations in the worldline formulation of a lattice field theory. Using the charged [Formula: see text] field in two dimensions as an example, we present the details of the canonical formulation based on worldlines and outline the algorithmic strategies for canonical worldline simulations. We discuss the steps for converting the data from the canonical approach to the grand canonical picture which we use for cross-checking our results. The canonical approach presented here can easily be generalized to other lattice field theories with a worldline representation.