A generalization of tensor calculus and its applications to physics

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

doi:10.1007/BF00756326

A generalization of tensor calculus and its applications to physics

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

Research output: Contribution to journal › Article › peer-review

20 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 language	English (US)
Pages (from-to)	411-428
Number of pages	18
Journal	General Relativity and Gravitation
Volume	14
Issue number	5
DOIs	https://doi.org/10.1007/BF00756326
State	Published - May 1982

All Science Journal Classification (ASJC) codes

Physics and Astronomy (miscellaneous)

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10.1007/BF00756326

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title = "A generalization of tensor calculus and its applications to physics",

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.",

author = "Abhay Ashtekar and Horowitz, \{Gary T.\} and Anne Magnon-Ashtekar",

year = "1982",

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doi = "10.1007/BF00756326",

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pages = "411--428",

journal = "General Relativity and Gravitation",

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AU - Ashtekar, Abhay

AU - Horowitz, Gary T.

AU - Magnon-Ashtekar, Anne

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Y1 - 1982/5

N2 - 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.

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AN - SCOPUS:0002492737

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EP - 428

JO - General Relativity and Gravitation

JF - General Relativity and Gravitation

IS - 5

ER -

A generalization of tensor calculus and its applications to physics

Abstract

All Science Journal Classification (ASJC) codes

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