Conformal transformations with multiple scalar fields
Name
Kaiser-2010-Conformal transforma.pdf
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155.68 KB
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Adobe PDF
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Author(s)
Kaiser, David I.
Date Issued
April 2010
Journal
Physical Review D
Publisher
American Physical Society
Citation
Kaiser, David I. “Conformal transformations with multiple scalar fields.” Physical Review D 81.8 (2010): 084044. © 2010 The American Physical Society
Version
Final published version
Abstract
Many interesting models incorporate scalar fields with nonminimal couplings to the spacetime Ricci curvature scalar. As is well known, if only one scalar field is nonminimally coupled, then one may perform a conformal transformation to a new frame in which both the gravitational portion of the Lagrangian and the kinetic term for the (rescaled) field assume canonical form. We examine under what conditions the gravitational and kinetic terms in the Lagrangian may be brought into canonical form when more than one scalar field has nonminimal coupling. A particular class of two-field models admits such a transformation, but models with more than two nonminimally coupled fields, in general, do not.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Program in Science, Technology and Society
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.81.084044