Work

A Variational Approach to Quantum Field Theory

Year: 2025

Type: conference-paper

Abstract: In strongly coupled field theories, perturbation theory cannot be employed to study the low-energy spectrum. Thus, non-perturbative techniques are required. We employ the variational method, a rigorous, non-perturbative approach which provides variational upper bounds on the energy eigenstates of the theory. An essential step in the variational method is the choice of trial wave function. In this work, we study the viability of employing a neural network as our variational ansatz. As a first step towards phenomenologically interesting strongly coupled theories like quantum chromodynamics, we study scalar field theories with quartic couplings.

Source: International Conference on Quarks and Nuclear Physics (QNP)

DOI: 10.22323/1.465.0036

Authors: Martí Rovira, Robert Perry, Assumpta Parreno

Institutions: Universitat de Barcelona, Institut de Ciències del Cosmos

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funder: Agencia Estatal de Investigación