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QED in the clothed-particle representation: a fresh look at positronium properties treatment

by Yan A. Kostylenko, Adam M. Arslanaliev, Aleksandr V. Shebeko

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Submission summary

Authors (as registered SciPost users): Adam Arslanaliev · Yan Kostylenko
Submission information
Preprint Link: scipost_201910_00018v1  (pdf)
Date accepted: 2019-11-05
Date submitted: 2019-10-14 02:00
Submitted by: Kostylenko, Yan
Submitted to: SciPost Physics Proceedings
Proceedings issue: 24th European Few Body Conference (EFB2019)
Ontological classification
Academic field: Physics
  • Quantum Physics
Approach: Theoretical


We have extended our previous applications of the method of unitary clothing transformations (UCTs) in mesodynamics [1, 2] to quantum electrodynamics (QED) [3, 4]. An analytical expression for the QED Hamiltonian in the clothed-particle representation (CPR) has been derived. Its distinctive feature is the appearance of a new family of the Hermitian and energy independent interaction operators built up in the e^2-order for the clothed electrons and positrons instead the primary canonical interaction between electromagnetic and electron-positron fields. The problem of describing the bound states in QED in case of the positronium system has been considered. The first correction to the energy of the ground state of the para-positronium and its decay rate to two photons has been calculated by using the new interaction operators.

Published as SciPost Phys. Proc. 3, 045 (2020)

Reports on this Submission

Anonymous Report 1 on 2019-10-16 (Invited Report)

  • Cite as: Anonymous, Report on arXiv:scipost_201910_00018v1, delivered 2019-10-16, doi: 10.21468/SciPost.Report.1233


The paper presents a novel way of calculating positronium energies and decay rates. The article is well written and the results in good agreement with experiments. The paper can be accepted for the proceedings.

  • validity: high
  • significance: good
  • originality: high
  • clarity: high
  • formatting: excellent
  • grammar: excellent

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