External Fields as Intrinsic Geometry

Details External Fields as Intrinsic Geometry External Fields as Intrinsic Geometry

2000-09-28

arxiv.org/abs/hep-th/0009230v1

Eur.Phys.J.C18:785-794,2001

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, Latex

Scientific paper

10.1007/s100520100566

There is an interesting dichotomy between a space-time metric considered as external field in a flat background and the same considered as an intrinsic part of the geometry of space-time. We shall describe and compare two other external fields which can be absorbed into an appropriate redefinition of the geometry, this time a noncommutative one. We shall also recall some previous incidences of the same phenomena involving bosonic field theories. It is known that some such theories on the commutative geometry of space-time can be re-expressed as abelian-gauge theory in an appropriate noncommutative geometry. The noncommutative structure can be considered as containing extra modes all of whose dynamics are given by the one abelian action.

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