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Affinely invariant field theory
Author(s) -
Liebscher D.E.
Publication year - 1988
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.2113090421
Subject(s) - invariant (physics) , mathematics , invariant manifold , physics , partial differential equation , tensor field , mathematical analysis , mathematical physics , exact solutions in general relativity
If we require the effective field equations for a local system to be second order partial differential equations, an affinely invariant theory (not presuming the existence of a metric tensor beforehand) has to be non‐local, the action being a multiple integral over the manifold considered.