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Communications in Mathematical Physics

, Volume 252, Issue 1–3, pp 477–483 | Cite as

A Note on Polarization Vectors in Quantum Electrodynamics

  • Elliott H. Lieb
  • Michael Loss
Article

Abstract

A photon of momentum k can have only two polarization states, not three. Equivalently, one can say that the magnetic vector potential A must be divergence-free in the Coulomb gauge. These facts are normally taken into account in QED by introducing two polarization vectors ɛ λ (k) with λ ∈ {1,2}, which are orthogonal to the wave-vector k. These vectors must be very discontinuous functions of k and, consequently, their Fourier transforms have bad decay properties. Since these vectors have no physical significance there must be a way to eliminate them and their bad decay properties from the theory. We propose such a way here.

Keywords

Neural Network Fourier Fourier Transform Statistical Physic Complex System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© E.H. Lieb and M. Loss 2004

Authors and Affiliations

  • Elliott H. Lieb
    • 1
  • Michael Loss
    • 2
  1. 1.Departments of Physics and MathematicsJadwin Hall, Princeton UniversityPrincetonUSA
  2. 2.School of MathematicsGeorgia TechAtlantaUSA

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