On vector-tensor minimally coupled field theories.

Details On vector-tensor minimally coupled field theories. On vector-tensor minimally coupled field theories.

Jul 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986gregr..18..685n&link_type=abstract

General Relativity and Gravitation, Volume 18, Issue 7, pp.685-694

Physics

2

Field Theories

Scientific paper

We consider vector-tensor minimally coupled Lagrangians, i.e., scalar densities of the formℒ = g 1/2 R +L(g ij ;Ψ i ;Ψ i,j ). We prove that the gauge invariance of any of the sets of Euler-Lagrange expressions implies the gauge invariance of the Lagrangian itself forn even, and an “almost” gauge invariance forn odd. We also find those ℒ for whichE i (ℒ) = 0 orE ij (L) = 0, generalizing well-known results by Lovelock and a result by the authors.

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