Lattice field computations via recursive numerical integration

TL;DR

This paper explores efficient recursive numerical integration methods, combined with FFT techniques, to solve lattice gauge theory models in quantum field theory, demonstrating their effectiveness on quantum rotor and U(1) gauge models.

Contribution

It introduces a novel approach combining recursive integration and FFT for lattice gauge computations, improving efficiency in quantum field theory simulations.

Findings

Successful application to quantum rotor and U(1) lattice gauge models

Enhanced computational efficiency demonstrated

Review of results from previous publication

Abstract

We investigate the application of efficient recursive numerical integration strategies to models in lattice gauge theory from quantum field theory. Given the coupling structure of the physics problems and the group structure within lattice cubature rules for numerical integration, we show how to approach these problems efficiently by means of Fast Fourier Transform techniques. In particular, we consider applications to the quantum mechanical rotor and compact U(1) lattice gauge theory, where the physical dimensions are two and three. This proceedings article reviews our results presented in J. Comput. Phys 443 (2021) 110527.