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Do Small-Mass Neutrinos Participate in Gauge Transformations?
Center for Fundamental Physics, University of Maryland, College Park, MD 20742, USA.ORCID iD: 0000-0003-0829-8916
KTH, School of Information and Communication Technology (ICT), Communication Systems, CoS, Radio Systems Laboratory (RS Lab).ORCID iD: 0000-0002-6066-746X
New York University, Department of Radiology, Nuclear Medicine.ORCID iD: 0000-0002-2442-1622
2016 (English)In: Advances in High Energy Physics, ISSN 1687-7357, E-ISSN 1687-7365, 1-7 p., 1847620Article in journal (Refereed) Published
Abstract [en]

Neutrino oscillation experiments presently suggest that neutrinos have a small but finite mass. If neutrinos have mass, there should be a Lorentz frame in which they can be brought to rest. This paper discusses how Wigner’s little groups can be used to distinguish between massive and massless particles. We derive a representation of the SL(2,c) group which separates out the two sets of spinors: one set is gauge dependent and the other set is gauge invariant and represents polarized neutrinos. We show that a similar calculation can be done for the Dirac equation. In the large-momentum/zero-mass limit, the Dirac spinors can be separated into large and small components. The large components are gauge invariant, while the small components are not. These small components represent spin-1/2 non-zero-mass particles. If we renormalize the large components, these gauge invariant spinors represent the polarization of neutrinos. Massive neutrinos cannot be invariant under gauge transformations.

Place, publisher, year, edition, pages
Hindawi Publishing Corporation, 2016. 1-7 p., 1847620
National Category
Subatomic Physics
Identifiers
URN: urn:nbn:se:kth:diva-189756DOI: 10.1155/2016/1847620OAI: oai:DiVA.org:kth-189756DiVA: diva2:948742
Note

QC 20160713

Available from: 2016-07-13 Created: 2016-07-13 Last updated: 2016-07-21Bibliographically approved

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Kim, Young SuhMaguire Jr., Gerald Q.Noz, Marilyn E.
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Radio Systems Laboratory (RS Lab)
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