Transverse structure of electron in momentum space in basis light-front quantization
Zhi Hu, Siqi Xu, Chandan Mondal, Xingbo Zhao, James P. Vary
Abstract
We investigate the leading-twist transverse-momentum-dependent distribution functions (TMDs) for a physical electron, a spin-$1/2$ composite system consisting of a bare electron and a photon, using the basis light-front quantization (BLFQ) framework. The light-front wave functions of the physical electron are obtained from the eigenvectors of the light-front QED Hamiltonian. We evaluate the TMDs using the overlaps of the light-front wave functions. The BLFQ results are found to be in excellent agreement with those TMDs calculated using lowest-order perturbation theory.
Topics & Concepts
PhysicsPosition and momentum spaceElectronWave functionHamiltonian (control theory)PhotonTransverse planeQuantization (signal processing)Quantum mechanicsQuantum electrodynamicsMathematicsMathematical optimizationEngineeringStructural engineeringAlgorithmQuantum Chromodynamics and Particle InteractionsParticle physics theoretical and experimental studiesHigh-Energy Particle Collisions Research