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We study adiabatic and isocurvature perturbation spectra produced by a period of cosmological inflation driven by two scalar fields. We show that there exists a model-independent consistency condition for all two-field models of slow-roll…

Astrophysics · Physics 2009-11-07 David Wands , Nicola Bartolo , Sabino Matarrese , Antonio Riotto

We study metric perturbations and deformation theory for degenerate Z/2-harmonic 1-forms. For a natural class of degenerate examples, we prove that after a suitable perturbation of the ambient Riemannian metric, the form can be deformed to…

Differential Geometry · Mathematics 2026-03-18 Siqi He , Willem Adriaan Salm

Invertible disformal transformations are a useful tool to investigate ghost-free scalar-tensor theories. By performing a higher-derivative generalization of the invertible disformal transformation on Horndeski theories, we construct a novel…

General Relativity and Quantum Cosmology · Physics 2023-01-16 Kazufumi Takahashi , Masato Minamitsuji , Hayato Motohashi

We study adiabatic (curvature) and entropy (isocurvature) perturbations produced during a period of cosmological inflation that is driven by multiple scalar fields with an arbitrary interaction potential. A local rotation in field space is…

Astrophysics · Physics 2009-10-31 Christopher Gordon , David Wands , Bruce A. Bassett , Roy Maartens

We present a graphical analysis of the adiabatic connections underlying double-hybrid density-functional methods that employ second-order perturbation theory. Approximate adiabatic connection formulae relevant to the construction of these…

Chemical Physics · Physics 2013-06-26 Yann Cornaton , Odile Franck , Andrew M. Teale , Emmanuel Fromager

Here, we revisit the question of possible preheating of entropy modes in a two field model with a massless inflaton coupled to a matter scalar field. Using a perturbative approximation to the covariant method we demonstrate that there is…

Cosmology and Nongalactic Astrophysics · Physics 2015-07-09 Hossein Bazrafshan Moghaddam , Robert H. Brandenberger , Yi-Fu Cai , Elisa G. M. Ferreira

A disformal coupling between two scalar fields is considered in the context of cosmological inflation. The coupling introduces novel derivative interactions mixing the kinetic terms of the fields but without introducing superluminal or…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-23 Carsten van de Bruck , Tomi Koivisto , Chris Longden

We initiate the study of multi-field inflation using holography. Bulk light scalar fields correspond to nearly marginal operators in the boundary theory and the dual quantum field theory is a deformation of a CFT by such operators. We…

High Energy Physics - Theory · Physics 2015-06-23 Jaume Garriga , Kostas Skenderis , Yuko Urakawa

We provide a new derivation of the anisotropies of the cosmic microwave background (CMB), and find an exact expression that can be readily expanded perturbatively. Close attention is paid to gauge issues, with the motivation to examine the…

Astrophysics · Physics 2009-01-08 J. P. Zibin , Douglas Scott

We consider a time-dependent small quantum system weakly coupled to an environnement, whose effective dynamics we address by means of a Lindblad equation. We assume the Hamiltonian part of the Lindbladian is slowly varying in time and the…

Mathematical Physics · Physics 2022-02-16 Alain Joye

We investigate the cosmological perturbation of two-scalar field model during the reheating phase after inflation. Using the exact solution of the perturbation in long-wavelength limit, which is expressed in terms of the background…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. Taruya , Y. Nambu

The coupled quintessence model with disformal couplings is treated here to mimic the $\Lambda$CDM background. Using this approach, the quintessence potential does not have to be specified. The model considers a generic fluid coupled to the…

General Relativity and Quantum Cosmology · Physics 2021-03-16 Avishek Dusoye , Alvaro de la Cruz-Dombriz , Peter Dunsby , Nelson J. Nunes

We discuss and clarify the validity of effective single field theories of inflation obtained by integrating out heavy degrees of freedom in the regime where adiabatic perturbations propagate with a suppressed speed of sound. We show by…

High Energy Physics - Theory · Physics 2012-12-17 Ana Achucarro , Vicente Atal , Sebastian Cespedes , Jinn-Ouk Gong , Gonzalo A. Palma , Subodh P. Patil

A mathematical model of the evolution of plane perturbations in the cosmological statistical system of completely degenerate scalar-charged fermions with Higgs scalar interaction for short-wave perturbations is formulated. These disturbance…

General Relativity and Quantum Cosmology · Physics 2021-03-26 Yu. G. Ignat'ev

We study new classes of metric transformations in the context of scalar-tensor theories, which involve both higher derivatives of the scalar field and derivatives of the metric itself. In general, such transformations are not invertible as…

General Relativity and Quantum Cosmology · Physics 2025-03-03 Eugeny Babichev , Keisuke Izumi , Karim Noui , Norihiro Tanahashi , Masahide Yamaguchi

We investigate a spatially flat Friedmann-Lema\^itre-Robertson-Walker cosmology in which a decaying vacuum term causes matter production at late times. Assuming a decay proportional to the Hubble rate, the ratio of the background energy…

Cosmology and Nongalactic Astrophysics · Physics 2011-08-26 W. Zimdahl , H. A. Borges , S. Carneiro , J. C. Fabris , W. S. Hipólito-Ricaldi

We show how a nearly massless scalar field conformally and disformally coupled to matter can affect the dynamics of two bodies in their inspiralling phase before merging. We discuss both the conservative dynamics, e.g. how the energy of the…

General Relativity and Quantum Cosmology · Physics 2019-07-03 Philippe Brax , Anne-Christine Davis , Adrien Kuntz

We develop a perturbative approach for calculating, within the quasistatic approximation, the shift of surface resonances in response to a deformation of a dielectric volume. Our strategy is based on the conversion of the homogeneous system…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Daniel Grieser , Hannes Uecker , Svend-Age Biehs , Oliver Huth , Felix Rüting , Martin Holthaus

The Maxwell action is conformally invariant and classically ignorant of conformally flat metrics. However, if the vector lives in a disformal metric--- as it does if residing upon a moving brane---this is no longer true. The disformal…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Tomi S. Koivisto , Federico R. Urban

We study disformal transformations of cosmological perturbations by vector fields in theories invariant under U(1) gauge transformations. Three types of vector disformal transformations are considered: (i) disformal transformations by a…

High Energy Physics - Theory · Physics 2018-03-28 Vassilis Papadopoulos , Moslem Zarei , Hassan Firouzjahi , Shinji Mukohyama
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