The electron in three-dimensional momentum space

Abstract

We study the electron as a system composed by an electron and a photon, using lowest order perturbation theory. We derive the leading-twist transverse-momentum-dependent distribution functions for both the electron and photon in the dressed electron, thereby offering a three-dimensional description of the dressed electron in momentum space. To obtain the distribution functions, we apply both the formalism of light-front wave function overlap representation and the diagrammatic approach. We perform the calculations both in light-cone gauge and Feynman gauge, and we present a detailed discussion of the role of the Wilson lines to obtain gauge-independent results. We provide numerical results and plots for many of the computed distributions.

25 pages, 14 figures

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Cited by in corpus (9)

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• Light-front holographic $\rho$-meson distributions in the momentum space
• Wigner distributions for an electron
• Quark generalized TMDs at skewness and Wigner Distribution in boost invariant longitudinal space
• Transverse single-spin asymmetry in the low-virtuality leptoproduction of open charm as a probe of the gluon Sivers function
• Wigner distributions and GTMDs in a proton using light-front quark-diquark model
• Factorized approach to radiative corrections for inelastic lepton-hadron collisions
• Mass sum rules of the electron in quantum electrodynamics
• Transverse momentum distributions of electron in simulated QED model