A commentary on single-photon wave function advocated by Bia{\l}ynicki-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 Bia{\l}ynicki-Birula on the single-photon wave function may be reconciled with the causal perturbative approach to QED.
Cite
@article{arxiv.1810.05840,
title = {A commentary on single-photon wave function advocated by Bia{\l}ynicki-Birula},
author = {Jarosław Wawrzycki},
journal= {arXiv preprint arXiv:1810.05840},
year = {2018}
}
Comments
10 pages, some clarifying corrections have been added. arXiv admin note: substantial text overlap with arXiv:1604.00482