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Applications of Basis Light-Front Quantization to QED.

DE141134055

Publication Date	2014
Personal Author	Vary, J. P.; Zhao, X.; Ilderton, A.; Honkanen, H.; Maris, P.; Brodsky, S. J.
Page Count	6
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.
Keywords	Quantum electrodynamics Amplitudes Compton scattering Eigenvalues Electrons Hamiltonian function Partons Photons Quantum chromodynamics Quantum field theory Symmetry
Source Agency	Technical Information Center Oak Ridge Tennessee
NTIS Subject Category	46 - Physics
Corporate Authors	Stanford Linear Accelerator Center, CA.; Department of Energy, Washington, DC.
Supplemental Notes	Sponsored by Department of Energy, Washington, DC.
Document Type	Technical Report
NTIS Issue Number	201425
Contract Number	DE-AC02-76SF00515

Applications of Basis Light-Front Quantization to QED.

Applications of Basis Light-Front Quantization to QED.
DE141134055

Publication Date	2014
Personal Author	Vary, J. P.; Zhao, X.; Ilderton, A.; Honkanen, H.; Maris, P.; Brodsky, S. J.
Page Count	6
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.
Keywords	Quantum electrodynamics Amplitudes Compton scattering Eigenvalues Electrons Hamiltonian function Partons Photons Quantum chromodynamics Quantum field theory Symmetry
Source Agency	Technical Information Center Oak Ridge Tennessee
NTIS Subject Category	46 - Physics
Corporate Authors	Stanford Linear Accelerator Center, CA.; Department of Energy, Washington, DC.
Supplemental Notes	Sponsored by Department of Energy, Washington, DC.
Document Type	Technical Report
NTIS Issue Number	201425
Contract Number	DE-AC02-76SF00515