2014/06/01 by James P. Vary, Xingbo Zhao, Anton Ilderton +4
Physics and Astronomy · #Compton scattering #Hamiltonian (control theory) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Photon #Physics #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum field theory #Quantum mechanics #Scattering #Scattering amplitude #hep-th #nucl-th
paper · pdf · doi:10.1016/j.nuclphysbps.2014.04.002
published as Nucl.Phys.Proc.Suppl. 251-252, (2014) 10-15 · 6 pages, 4 figures, proceedings for Lightcone 2012 conference at Delhi, India
openalex publication_date 2014/06/01 · arxiv created 2014/06/07 · arxiv updated 2014/06/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Hamiltonian light-front quantum field theory provides a framework for calculating both static and dynamic properties of strongly interacting relativistic systems. Invariant masses, correlated parton amplitudes and time-dependent scattering amplitudes, possibly with strong external time-dependent fields, represent a few of the important applications. By choosing the light-front gauge and adopting an orthonormal basis function representation, we obtain a large, sparse, Hamiltonian matrix eigenvalue problem for mass eigenstates that we solve by adapting ab initio no-core methods of nuclear many-body theory. In the continuum limit, the infinite matrix limit, we recover full covariance. Guided by the symmetries of light-front quantized theory, we adopt a two-dimensional harmonic oscillator basis for transverse modes that corresponds with eigensolutions of the soft-wall anti-de Sitter/quantum chromodynamics (AdS/QCD) model obtained from light-front holography. We outline our approach and present results for non-linear Compton scattering, evaluated non-perturbatively, where a strong and time-dependent laser field accelerates the electron and produces states of higher invariant mass i.e. final states with photon emission.