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Hamiltonian light-front field theory in a basis function approach

6 Pith papers cite this work. Polarity classification is still indexing.

6 Pith papers citing it
abstract

Hamiltonian light-front quantum field theory constitutes a framework for the non-perturbative solution of invariant masses and correlated parton amplitudes of self-bound systems. By choosing the light-front gauge and adopting a basis function representation, we obtain a large, sparse, Hamiltonian matrix for mass eigenstates of gauge theories that is solvable by adapting the ab initio no-core methods of nuclear many-body theory. Full covariance is recovered in the continuum limit, the infinite matrix limit. There is considerable freedom in the choice of the orthonormal and complete set of basis functions with convenience and convergence rates providing key considerations. Here, we use a two-dimensional harmonic oscillator basis for transverse modes that corresponds with eigensolutions of the soft-wall AdS/QCD model obtained from light-front holography. We outline our approach and present illustrative features of some non-interacting systems in a cavity. We illustrate the first steps towards solving QED by obtaining the mass eigenstates of an electron in a cavity in small basis spaces and discuss the computational challenges.

citation-role summary

background 3 method 1

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fields

hep-ph 6

years

2026 5 2025 1

verdicts

UNVERDICTED 6

representative citing papers

Light-front Hamiltonian jet evolution in the Glasma

hep-ph · 2026-05-11 · unverdicted · novelty 7.0

A light-front Hamiltonian method evolves a quark through Glasma fields to obtain transverse momentum broadening and jet quenching consistent with classical scaling in saturation momentum.

Baryon Bethe-Salpeter Equation in Minkowski-Space QCD$_2$

hep-ph · 2026-05-08 · unverdicted · novelty 6.0

In 1+1D QCD the baryon Bethe-Salpeter equation reduces to the Bars-Durgut equation under valence truncation and is solved numerically for the spectrum and parton distributions.

Light-front mass operator with dressed quarks

hep-ph · 2026-04-24 · unverdicted · novelty 5.0

An effective dressed light-front mass operator for quarks is constructed from a lattice-inspired propagator and applied to compute pion TMDs, PDFs, and distribution amplitudes.

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Showing 6 of 6 citing papers.