Mass sum rules of the electron in quantum electrodynamics

Abstract

Different decompositions of the nucleon mass, in terms of the masses and energies of the underlying constituents, have been proposed in the literature. We explore the corresponding sum rules in quantum electrodynamics for an electron at one-loop order in perturbation theory. To this end we compute the form factors of the energy-momentum tensor, by paying particular attention to the renormalization of ultraviolet divergences, operator mixing and scheme dependence. We clarify the expressions of all the proposed sum rules in the electron rest frame in terms of renormalized operators. Furthermore, we consider the same sum rules in a moving frame, where they become energy decompositions. Finally, we discuss some implications of our study on the mass sum rules for the nucleon.

21 pages, 1 figure; V2: minor changes, references added, to appear in JHEP

References in corpus (8)

• Generalized parton correlation functions for a spin-1/2 hadron
• Revisiting the mechanical properties of the nucleon
• The pressure distribution and shear forces inside the proton
• Diffractive photoproduction of $J/\psi$ and ${\rm Y}$ using holographic QCD: gravitational form factors and GPD of gluons in the proton
• Holographic $J/\psi$ production near threshold and the proton mass problem
• Quark and gluon contributions to the QCD trace anomaly
• Near threshold $J/\psi$ and ${\rm Y}$ photo-production at JLab and RHIC
• Angular momentum decomposition from a QED example

Cited by in corpus (1)

• Proton Mass Decomposition and Hadron Cosmological Constant