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New submissions for Fri, 16 Mar 18

[1]  arXiv:1803.05728 [pdf, other]
Title: Radiative Corrections in GSDKP
Comments: Poster presented at the XIV International Workshop on Hadron Physics, Florian\'opolis, Brazil, March 2018
Subjects: General Physics (physics.gen-ph); High Energy Physics - Theory (hep-th)

We show explicit the first radiative correction for the vertex and photon-photon 4-point function in Generalized Scalar Duffin-Kemmer-Petiau Quantum Electrodynamcis (GSDKP), utilizing the dimensional regularization method, where the gauge symmetry is manifest. As we shall see one of the consequences of the study is that the DKP algebra ensures the functioning of theWard- Takahashi-Fradkin (WTF) identities in the first radiative corrections prohibiting certain ultraviolet (UV) divergences. This result leads us to ask whether this connection between DKP algebra, UV divergences, and quantum gauge symmetry (WTF) is a general statment.

[2]  arXiv:1803.05732 [pdf, other]
Title: Divergence free quantum field theory using a spectral calculus of Lorentz invariant measures
Authors: John Mashford
Comments: 75 pages, 3 figures. Minor modifications. (mainly typos) Version2
Subjects: General Physics (physics.gen-ph); High Energy Physics - Theory (hep-th)

This paper presents a spectral calculus for computing the spectrum of a causal Lorentz invariant Borel complex measure on Minkowski space, thereby enabling one to compute the density for such a measure with respect to Lebesque measure. A general spectral theorem establishing the spectral representation of arbitrary Lorentz invariant Borel complex measures is proved. It is proved that the convolution of arbitrary causal Lorentz invariant measures exists and the product of such measures exists in a wide class of cases. Techniques for their computation are presented. Divergent integrals in quantum field theory (QFT) are shown to have a well defined existence as Lorentz invariant complex measures. The case of vacuum polarization is considered and the spectral vacuum polarization function is shown to have very close agreement with the vacuum polarization function obtained using dimensional regularization in the real mass domain. The spectral running coupling constant is shown to converge for all energies while the running coupling constant obtained using dimensional regularization is shown to diverge for all non-zero energies. The Uehling contribution to the Lamb shift for the H atom is computed.

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