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Space-time structure of weak and electromagnetic interactions
Author(s) -
David Hestenes
Publication year - 1982
Publication title -
foundations of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.599
H-Index - 60
eISSN - 1572-9516
pISSN - 0015-9018
DOI - 10.1007/bf00736846
Subject(s) - homogeneous space , spinor , physics , gauge theory , dirac equation , theoretical physics , weak isospin , group (periodic table) , dirac (video compression format) , space (punctuation) , dirac algebra , gamma matrices , generator (circuit theory) , interpretation (philosophy) , electromagnetic field , mathematical physics , quantum mechanics , mathematics , lepton , geometry , linguistics , philosophy , power (physics) , computer science , neutrino , programming language , electron
The generator of electromagnetic gauge transformations in the Dirac equation has a unique geometric interpretation and a unique extension to the generators of the gauge group SU(2) × U(1) for the Weinberg-Salam theory of weak and electromagnetic interactions. It follows that internal symmetries of the weak interactions can be interpreted as space-time symmetries of spinor fields in the Dirac algebra. The possibilities for interpreting strong interaction symmetries in a similar way are highly restricted.

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