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In the de Sitter ambient space formalism the massless fields, which include the linear gravity and massless minimally coupled scalar field, can be written in terms of two separate parts: a massless conformally coupled scalar field and a…

General Relativity and Quantum Cosmology · Physics 2017-12-29 M. V. Takook

The cumulative size-frequency distributions of impact craters on planetary bodies in the solar system appear to approximate a universal inverse square power-law for small crater radii. In this article, we show how this distribution can be…

Earth and Planetary Astrophysics · Physics 2015-06-11 Gary W. Gibbons , Marcus C. Werner

We present a covariant framework to compute scattering amplitudes and potentials in a de Sitter background. In this setting, we compute the potential of a graviton-mediated scattering process involving two very massive scalars at tree…

High Energy Physics - Theory · Physics 2022-11-16 Renata Ferrero , Chris Ripken

A system of generalized coherent states for the de Sitter group obeying Klein-Gordon equation and corresponding to the massive spin zero particles over the de Sitter space is considered. This allows us to construct the quantized scalar…

High Energy Physics - Theory · Physics 2007-05-23 Semyon Pol'shin

We construct a first order parent field theory for free higher spin gauge fields on constant curvature spaces. As in the previously considered flat case, both Fronsdal's and Vasiliev's unfolded formulations can be reached by two different…

High Energy Physics - Theory · Physics 2009-11-11 Glenn Barnich , Maxim Grigoriev

Perturbative gravity in global de Sitter space is subject to so-called linearization stability constraints: If they are to couple consistently to the gravitational field, quantum states must be invariant under the de Sitter isometries.…

General Relativity and Quantum Cosmology · Physics 2009-01-16 Donald Marolf , Ian A. Morrison

We present a simple group representation analysis of massive, and particularly ``partially massless'', fields of arbitrary spin in de Sitter spaces of any dimension. The method uses bulk to boundary propagators to relate these fields to…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , A. Waldron

We study a one dimensional model of gravitational instability in an Einstein-de Sitter universe. Scaling in both space and time results in an autonomous set of coupled Poisson-Vlasov equations for the field and phase space density, and the…

Astrophysics · Physics 2009-11-06 Bruce N. Miller , J. -L. Rouet

An introductory, self-contained overview, with pedagogical figures, is provided to acquaint readers unfamiliar with the subjects with key aspects of de Sitter space and inflation. The connection between de Sitter space and cosmology is…

General Relativity and Quantum Cosmology · Physics 2025-10-30 Eyad H. Al-Samra

Recalling the universal covering group of de Sitter, the transformation properties of the spinor fields $\psi(x)$ and ${\bar\psi}(x)$, in the ambient space notation, are presented in this paper. The charge conjugation symmetry of the de…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Ali Pahlavan , Shahriar Rouhani , Mohammad Vahid Takook

In this paper we consider a scenario, consisting of a de Sitter phase followed by a phase described by a scale factor $a(t)\sim t^{q}$, where $1/3<q<1$, which can be viewed as an inflationary toy model. It is argued that this scenario…

High Energy Physics - Theory · Physics 2009-11-07 Ulf H. Danielsson , Daniel Domert , Martin Olsson

Connection of the invariant Dirac equation over the de Sitter space with irreducible representations of the de Sitter group is ascertained. The set of solutions of this equation is obtained in the form of the product of two different…

High Energy Physics - Theory · Physics 2007-05-23 Semyon Pol'shin

A system of generalized coherent states for the de Sitter group obeying the Klein-Gordon equation and corresponding to the massive spin zero particles over the de Sitter space is considered. This allows us to construct the quantized scalar…

High Energy Physics - Theory · Physics 2008-11-26 Semyon Pol'shin

We consider quantum field theory in de Sitter space, focusing on the cases of scalars, spin 1/2 fields, and symmetric and anti-symmetric tensor fields of arbitrary spin. The free field equations in global coordinates can be reduced to a one…

High Energy Physics - Theory · Physics 2011-06-16 Philip Lagogiannis , Alexander Maloney , Yi Wang

A set of data supposed to give possible axioms for spacetimes with a sufficient number of isometries in spectral geometry is given. These data are shown to be sufficient to obtain 1+1 dimensional de Sitter spacetime. The data rely at the…

Mathematical Physics · Physics 2007-05-23 T. Kopf , M. Paschke

We study the braneworld theory constructed by multi scalar fields. The model contains a smooth and infinitely large extra dimension, allowing the background fields propagating in it. We give a de Sitter solution for the four-dimensional…

General Relativity and Quantum Cosmology · Physics 2022-02-16 Dong-Yu Li , Zhao-Xiang Wu , Hao Hu , Bao-Min Gu

Recently in \cite{Anderson:2013zia, Anderson:2013ila}, it was shown that global de Sitter space is unstable even to the massive particle creation with no self-interactions. In this paper we study the instability by making use of the…

General Relativity and Quantum Cosmology · Physics 2015-04-28 M. Reza Tanhayi

We consider a cosmology with a non-compact nonlinear sigma model.The target space is of de-Sitter type and four scalar fields are introduced.The potential is absent but cosmological constant term $\Lambda$ is added. One of the scalar fields…

General Relativity and Quantum Cosmology · Physics 2009-10-19 Joohan Lee , Tae Hoon Lee , Taeyoon Moon , Phillial Oh

The Gupta-Bleuler triplet for vector-spinor gauge field is presented in de Sitter ambient space formalism. The invariant space of field equation solutions is obtained with respect to an indecomposable representation of the de Sitter group.…

General Relativity and Quantum Cosmology · Physics 2016-07-22 S. Parsamehr , M. Enayati , M. V. Takook

We characterize numerically the properties of the phase transition of the three dimensional Ising spin glass with Gaussian couplings and of the low temperature phase. We compute critical exponents on large lattices. We study in detail the…

Statistical Mechanics · Physics 2009-10-31 E. Marinari , G. Parisi , J. J. Ruiz-Lorenzo
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