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Kaiser, David I

Publications and source records attributed to Kaiser, David I.

Primordial perturbations from multifield inflation with nonminimal couplings

Realistic models of particle physics include many scalar fields. These fields generically have nonminimal couplings to the Ricci curvature scalar, either as part of a generalized Einstein theory or as necessary counterterms for renormalization in curved background spacetimes. We develop a gauge-invariant formalism for calculating primordial perturbations in models with multiple nonminimally coupled fields. We work in the Jordan frame (in which the nonminimal couplings remain explicit) and identify two distinct sources of entropy perturbations for such models. One set of entropy perturbations arises from interactions among the multiple fields. The second set arises from the presence of nonminimal couplings. Neither of these varieties of entropy perturbations will necessarily be suppressed in the long-wavelength limit, and hence they can amplify the curvature perturbation {zeta}, even for modes that have crossed outside the Hubble radius. Models that overproduce long-wavelength entropy perturbations endanger the close fit between predicted inflationary spectra and empirical observations.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Conformal transformations with multiple scalar fields

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.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗