Relativistic density operators: Dirac dynamics, open quantum systems and non-standard neutrino interactions
Instituto de Física, Universidad Nacional Autónoma de México, 01000, Mexico D.F., Mexico
2 Instituto de Física, Benemérita Universidad Autónoma de Puebla, Apartado Postal J-48, 72570, Puebla, México
Accepted: 25 July 2022
Published online: 12 August 2022
In the present work we propose the correct covariant density operator formalism for half spin particles as an extension of the standard Dirac equation. We discuss the possibility of extending said formalism to the description of relativistic open quantum systems yet we arrive at the unavoidable conclusion that this is simply unfeasible due to the nature of Lorentz symmetry, even so, we show how a Lindblad-type eq. can be recovered in the non-relativistic limit of our theory. Finally making use of the new formalism presented here we describe the time evolution of a beam of solar neutrinos and obtain certain constraints congruent with experimental measurements, on the intensity of possible non-standard interactions affecting the physics of flavour oscillation.
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