arXiv subjects

Jarosław Wawrzycki

Publications and source records attributed to Jarosław Wawrzycki.

2 recordsLinked to original sources

arXiv2019

Solution of the Adiabatic Limit Problem. QED Without Infinities

In this work we give positive solution to the adiabatic limit problem in causal perturbative QED on the Minkowski space-time, as well as give a contribution to the solution of the convergence problem for the perturbative series in QED on the Minkowski space-time, by using white noise construction of free fields. The obtained scattering operator is a generalized operator sufficient for the computation of the effective cross section, involving generalized many-particle plane wave states of the fundamental fields. Bound states remain outside the scope of the resulting QED on the Minkowski space-time. The method is general enough to be applicable to more general causal perturbative QFT, such as Standard Model with the Higgs field.

math-ph↗

arXiv2018

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

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.

math-ph↗