Flavor-energy uncertainty relations for neutrino oscillations in quantum field theory

by Dr Luca Smaldone (Università di salerno)

Thursday 6 Dec 2018, 14:30 → 15:30 Europe/Rome

2G26 (Dipartimento di Fisica, M.S. Angelo)

In the context of quantum field theory, we derive flavor-energy uncertainty relations for neutrino oscillations. By identifying the non-conserved flavor charges with the “clock observables”, we arrive at the Mandelstam–-Tamm version of time-energy uncertainty relations. In the ultra-relativistic limit these relations yield the well known condition for neutrino oscillations. Ensuing non-relativistic corrections to the latter are explicitly evaluated. The analogy among flavor states and unstable particles and a novel interpretation of our uncertainty relations, based on the unitary inequivalence of Fock spaces for flavor and massive neutrinos, are also discussed.