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• W3162428264 abstract "Multiple scalar fields appear in vast modern particle physics and gravity models. When they couple to gravity non-minimally, conformal transformation is utilized to bring the theory into Einstein frame. However, the kinetic terms of scalar fields are usually not canonical, which makes analytic treatment difficult. Here we investigate under what conditions the theories can be transformed to the quasi-canonical form, in which case the effective metric tensor in field space is conformally flat. We solve the relevant nonlinear partial differential equations for arbitrary number of scalar fields and present several solutions that may be useful for future phenomenological model building, including the $sigma$-model with a particular non-minimal coupling. We also find conformal flatness can always be achieved in some modified gravity theories, for example, Starobinsky model." @default.
• W3162428264 created "2021-05-24" @default.
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• W3162428264 date "2021-09-15" @default.
• W3162428264 modified "2023-10-16" @default.
• W3162428264 title "Conformal transformation with multiple scalar fields and geometric property of field space with Einstein-like solutions" @default.
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• W3162428264 doi "https://doi.org/10.1103/physrevd.104.064042" @default.
• W3162428264 hasPublicationYear "2021" @default.
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