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arXiv · 1406.1838

Applications of Basis Light-Front Quantization to QED

James P. Vary·Xingbo Zhao·Anton Ilderton·Heli Honkanen·Pieter Maris·Stanley J. Brodsky
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Abstract

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.

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James P. Vary, Xingbo Zhao, Anton Ilderton, Heli Honkanen, Pieter Maris, Stanley J. Brodsky. 2014-06-07. Applications of Basis Light-Front Quantization to QED. https://doi.org/10.1016/j.nuclphysbps.2014.04.002

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