Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter

Published

Clifford algebras and their applications in mathematical physics. ed. / J. S. R. Chisholm; A. K. Common. Springer Netherlands, 1986. p. 177-199 (NATO ASI Series; Vol. 183).

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter

Tucker, R 1986, A Clifford calculus for physical field theories. in JSR Chisholm & AK Common (eds), *Clifford algebras and their applications in mathematical physics.* NATO ASI Series, vol. 183, Springer Netherlands, pp. 177-199. https://doi.org/10.1007/978-94-009-4728-3_16

Tucker, R. (1986). A Clifford calculus for physical field theories. In J. S. R. Chisholm, & A. K. Common (Eds.), *Clifford algebras and their applications in mathematical physics *(pp. 177-199). (NATO ASI Series; Vol. 183). Springer Netherlands. https://doi.org/10.1007/978-94-009-4728-3_16

Tucker R. A Clifford calculus for physical field theories. In Chisholm JSR, Common AK, editors, Clifford algebras and their applications in mathematical physics. Springer Netherlands. 1986. p. 177-199. (NATO ASI Series). doi: 10.1007/978-94-009-4728-3_16

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title = "A Clifford calculus for physical field theories",

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 K{\"a}hler and Dirac equations and their separability in a curved space-time is discussed. Some aspects of supersymmetric models are outlined.",

author = "Robin Tucker",

year = "1986",

doi = "10.1007/978-94-009-4728-3_16",

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AB - 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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