Conformal transformations with multiple scalar fields

By David I. Kaiser. 2010

165 citations recorded by the source corpus.

Center for Theoretical Physics and Department of Physics,Massachusetts Institute of Technology,Cambridge, Massachusetts 02139 USA(Dated: April 26, 2010)Many interesting models incorporate scalar ﬁelds with non-minimal couplings tothe spacetime Ricci curvature scalar. As is well known, if only one scalar ﬁeld isnon-minimally coupled, then one may perform a conformal transformation to a newframe in which both the gravitational portion of the Lagrangian and the kinetic termfor the (rescaled) ﬁeld assume canonical form. We examine under what conditionsthe gravitational and kinetic terms in the Lagrangian may be brought into canonicalform when more than one scalar ﬁeld has non-minimal coupling. A particular classof two-ﬁeld models admits such a transformation, but models with more than twonon-minimally coupled ﬁelds in general do not.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/eb35b501125be80057afb19c251e5b0ae14fb2d5

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Citations in the corpus

Dynamically induced Planck scale and inflation (2015, background): “A kinetic term for f has been generated [96], such that f becomes an extra scalar, with no gauge charge.”
Higgs Inflation (2018, background): “Note, however, that this decoupling statement does not apply to scale-invariant extensions including additional scalar fields [85,87,91,106–108] or other non-conformal interactions such as R terms [1,109–111].”
Primordial bispectrum from multifield inflation with nonminimal couplings (2012, methodology): “[23] D.”