A Clifford calculus for physical field theories

Tucker, Robin (1986) A Clifford calculus for physical field theories. In: Clifford algebras and their applications in mathematical physics. NATO ASI Series . Springer Netherlands, pp. 177-199. ISBN 9789401086028

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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.

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04 Aug 2015 08:58
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21 Sep 2023 03:49