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VOL. 4 | 2003 Mass and Curvature

Abstract

In this work we present a brief summary of the “geometry of mass”. We show how the notion of mass of elementary particles is related to the geometrical concept of curvature. In particular, the bosonic mass matrices are related to the extrinsic curvature of specific sub-manifolds of the Higgs bundle and the underlying gauge bundle. In contrast, the mass matrix of the fermions is related to the intrinsic curvature of bundles that geometrically represent “free fermions” within the context of spontaneously broken Yang–Mills gauge theories

Information

Published: 1 January 2003
First available in Project Euclid: 12 June 2015

zbMATH: 1043.53069
MathSciNet: MR1977577

Digital Object Identifier: 10.7546/giq-4-2003-303-315

Rights: Copyright © 2003 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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