We propose that the one-fold selfintersecting center-vortex loop, being the stable excitation in the confining phase of SU(2) Yang-Mills thermodynamics of scale Λ ∼ 0.5 MeV, after an electric-magnetically dual interpretation of this theory represents the electron/positron. Our argument invokes recent results on the physics of a strongly and spherically perturbed’t Hooft-Polyakovmonopole, the role of the central spatial region in a Harrington-Shepard (HS) (anti)caloron, the latter’s deformation towards max-imally non-trivial holonomy and subsequent dissociation into a pair of a screened BPS monopole and antimonopole, the energy-density of the deconfining thermal ground state, and the critical temperature Tc for the deconfining-preconfining transition. We estimate the typical spatial extent of the selfintersection region and the monopole core size, implying that the electron/positron, judged by its Compton wave length, is anything but a point particle. Our results support and elucidate the ideas of Louis de Broglie on the thermodynamics of an isolated particle.
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10 July 2018
INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017)
25–30 September 2017
Thessaloniki, Greece
Research Article|
July 10 2018
The isolated, uniformly moving electron: Selfintersecting SU(2) Yang-Mills center vortex loop and Louis de Broglie’s hidden thermodynamics Available to Purchase
Ralf Hofmann
Ralf Hofmann
a)
1
Institut für Theoretische Physik, Universität Heidelberg
, Philosophenweg 16, 69120 Heidelberg, Germany
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Ralf Hofmann
1,a)
1
Institut für Theoretische Physik, Universität Heidelberg
, Philosophenweg 16, 69120 Heidelberg, Germany
AIP Conf. Proc. 1978, 300006 (2018)
Citation
Ralf Hofmann; The isolated, uniformly moving electron: Selfintersecting SU(2) Yang-Mills center vortex loop and Louis de Broglie’s hidden thermodynamics. AIP Conf. Proc. 10 July 2018; 1978 (1): 300006. https://doi.org/10.1063/1.5043925
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