A generalization of tensor calculus and its applications to physics

Abhay Ashtekar, Gary T. Horowitz, Anne Magnon-Ashtekar

Research output: Contribution to journalArticle

15 Scopus citations

Abstract

Penrose's abstract index notation and axiomatic introduction of covariant derivatives in tensor calculus is generalized to fields with internal degrees of freedom. The result provides, in particular, an intrinsic formulation of gauge theories without the use of bundles.

Original languageEnglish (US)
Pages (from-to)411-428
Number of pages18
JournalGeneral Relativity and Gravitation
Volume14
Issue number5
DOIs
StatePublished - May 1982

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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