Basis light-front quantization approach to photon
Sreeraj Nair, Chandan Mondal, Xingbo Zhao, Asmita Mukherjee, James, P. Vary

TL;DR
This paper develops a basis light-front quantization method to compute the photon’s wave functions, enabling calculation of its internal structure and distributions, with results matching perturbative QED predictions.
Contribution
It introduces a nonperturbative approach to determine photon wave functions and distributions within light-front QED, aligning with known perturbative results.
Findings
Photon TMDs agree with lowest-order perturbative results.
Photon GPDs are consistent with perturbative calculations.
The method provides a framework for nonperturbative photon structure analysis.
Abstract
We solve for the light-front wave functions (LFWFs) of the physical photon from the eigenvectors of the light-front quantum electrodynamics (QED) Hamiltonian with the aim to determine its bare photon and electron-positron Fock components. We then employ the resulting LFWFs to compute the transverse momentum dependent parton distributions (TMDs) and the generalized parton distributions (GPDs) of the photon. The TMDs are found to be in excellent agreement with the lowest-order perturbative results calculated using the electron-positron quantum fluctuation of the photon. The GPDs are also consistent with the perturbative calculations.
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