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

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.