A commentary on single-photon wave function advocated by Białynicki-Birula

Abstract

We present in this paper how the single-photon wave function for transversal photons (with the direct sum of ordinary unitary representations of helicity 1 and -1 acting on it) is subsumed within the formalism of Gupta-Bleuler for the quantized free electromagnetic field. Rigorous Gupta-Bleuler quantization of the free electromagnetic field is based on our generalization (published formerly) of the Mackey theory of induced representations which includes representations preserving the indefinite Krein inner-product given by the Gupta-Bleuler operator. In particular it follows that the results of Białynicki-Birula on the single-photon wave function may be reconciled with the causal perturbative approach to QED.

10 pages, some clarifying corrections have been added. arXiv admin note: substantial text overlap with arXiv:1604.00482

References in corpus (2)

• Search for diphoton resonances in the mass range from 150 to 850 GeV in pp collisions at sqrt(s) = 8 TeV
• Search for high-mass diphoton resonances in $pp$ collisions at $\sqrt{s}=8$ TeV with the ATLAS detector