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A Clifford calculus for physical field theories

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Published
Publication date1986
Host publicationClifford algebras and their applications in mathematical physics
EditorsJ. S. R. Chisholm, A. K. Common
PublisherSpringer Netherlands
Pages177-199
Number of pages23
ISBN (Electronic)9789400947283
ISBN (Print)9789401086028
<mark>Original language</mark>English

Publication series

NameNATO ASI Series
Volume183
ISSN (Print)1389-2185

Abstract

A Clifford calculus on sections of a Clifford bundle associated with a (pseudo-) Riemannian metric is reviewed. Its use is illustrated by reference to the Einstein — Yang — Mills equations. The formalism highlights the difference between the Kähler and Dirac equations and their separability in a curved space-time is discussed. Some aspects of supersymmetric models are outlined.