Flavor Energy uncertainty relations for neutrino oscillations in quantum field theory

TL;DR

This paper derives flavor energy uncertainty relations for neutrino oscillations within quantum field theory, revealing new insights into the conditions for oscillations and non relativistic corrections, with implications for understanding neutrino behavior.

Contribution

It introduces flavor energy uncertainty relations in quantum field theory and explores their implications for neutrino oscillations, including non relativistic effects and a novel interpretation based on Fock space inequivalence.

Findings

Derivation of flavor energy uncertainty relations for neutrinos.

Explicit evaluation of non relativistic corrections.

Discussion of Fock space inequivalence and its implications.

Abstract

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 ultrarelativistic 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.