2008/05/02 by T. Mei, Mei, T.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #Quantum and Classical Electrodynamics #hep-th
paper · pdf · doi:10.48550/arxiv.0805.0224
54 pages, 1 figure
openalex publication_date 2008/05/02 · arxiv created 2008/11/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we present a theory of quantum electrodynamics with nonlocal interaction, a main characteristic of the theory is that a charged particle situated xmu interacts with electromagnetic field situated ymu, where xmu=ymu+aAmu, Amu reads electromagnetic 4-potential, a is a constant. All the action, the equations of motion of charged particle and electromagnetic field are given. For the case of free fields, charged particle and electromagnetic field obey the Dirac equation and the Maxwell equation of free fields, respectively; for the case with interaction, both the equations of motion of charged particle and electromagnetic field lead to current conservation jmu,mu=0 naturally. The theory is Lorentz invariant and gauge invariant under a generalized gauge transformation, the generalized gauge transformation can guarantee that the temporal gauge condition A0 holds or the Lorentz gauge condition Amu,mu=0 holds, respectively. The theory returns to the current QED when a=0. Finally, taking advantage of the Lehmann-Symanzik-Zimmermann approach, we establish the corresponding quantum theory.