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Many-Electron QED with Redefined Vacuum Approach
Version 1 : Received: 11 May 2021 / Approved: 13 May 2021 / Online: 13 May 2021 (11:29:01 CEST)
A peer-reviewed article of this Preprint also exists.
Soguel, R.N.; Volotka, A.V.; Glazov, D.A.; Fritzsche, S. Many-Electron QED with Redefined Vacuum Approach. Symmetry 2021, 13, 1014. Soguel, R.N.; Volotka, A.V.; Glazov, D.A.; Fritzsche, S. Many-Electron QED with Redefined Vacuum Approach. Symmetry 2021, 13, 1014.
The redefined vacuum approach, which is frequently employed in the many-body perturbation theory, proved to be a powerful tool for formula derivation. Here, we elaborate this approach within the bound-state QED perturbation theory. In addition to general formulation, we consider the particular example of a single particle (electron or vacancy) excitation with respect to the redefined vacuum. Starting with simple one-electron QED diagrams, we deduce first- and second-order many-electron contributions: screened self-energy, screened vacuum polarization, one-photon exchange, and two-photon exchange. The redefined vacuum approach provides a straightforward and streamlined derivation and facilitates its application to any electronic configuration. Moreover, based on the gauge invariance of the one-electron diagrams, we can identify various gauge-invariant subsets within derived many-electron QED contributions.
Bound-state QED; Lamb shift; relativistic atomic theory; vacuum redefinition; ground state redefinition; gauge invariance
Physical Sciences, Acoustics
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