Comment on " Topological phase in two flavor neutrino oscillations"

Details Comment on " Topological phase in two flavor neutrino oscillations" Comment on " Topological phase in two flavor neutrino oscillations"

2010-06-28

arxiv.org/abs/1006.5935v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

This revised comment, submitted to Phys. Rev. D, reflects the author's improved understanding of the commented paper resulting

Scientific paper

We critically analyze the claims with regard to the relevance of topological phases in the physics of neutrino oscillation made in a recent paper [Phys. Rev. D 79, 096013 (2009)] and point out some inappropriate exaggerations and misleading statements. We find that the $\pi$ phase described in this paper, while interesting, is an artefact of two major approximations made in the paper. We point out a more robust and more familiar $\pi$ phase in the neutrino oscillation formulae which can be interpreted as a pure Pancharatnam phase. We also make some relevant remarks on the distinction between the geometric and the topological phase made in the commented paper.

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