Hamiltonian light-front field theory within an AdS/QCD basis

TL;DR

This paper develops a non-perturbative Hamiltonian light-front quantum field theory approach using an AdS/QCD basis, aiming to connect particle and nuclear physics across scales.

Contribution

It introduces a novel framework combining light-front gauge and harmonic oscillator basis functions inspired by AdS/QCD for non-perturbative calculations.

Findings

Illustrative results for nuclear structure

Progress in computational methods for quantum field theory

Framework bridges microscopic and cosmic scales

Abstract

Non-perturbative Hamiltonian light-front quantum field theory presents opportunities and challenges that bridge particle physics and nuclear physics. Fundamental theories, such as Quantum Chromodynmamics (QCD) and Quantum Electrodynamics (QED) offer the promise of great predictive power spanning phenomena on all scales from the microscopic to cosmic scales, but new tools that do not rely exclusively on perturbation theory are required to make connection from one scale to the next. We outline recent theoretical and computational progress to build these bridges and provide illustrative results for nuclear structure and quantum field theory. As our framework we choose light-front gauge and a basis function representation with two-dimensional harmonic oscillator basis for transverse modes that corresponds with eigensolutions of the soft-wall AdS/QCD model obtained from light-front holography.