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We study the massless minimally coupled scalar field on a two--dimensional de Sitter space-time in the setting of axiomatic quantum field theory. We construct the invariant Wightman distribution obtained as the renormalized zero--mass limit…

Mathematical Physics · Physics 2015-06-26 Marco Bertola , Francesco Corbetta , Ugo Moschella

Nonlinear sigma models on de Sitter background possess the same kind of derivative interactions as gravity, and show the same sorts of large spacetime logarithms in correlation functions and solutions to the effective field equations. It…

General Relativity and Quantum Cosmology · Physics 2023-07-06 R. P. Woodard , B. Yesilyurt

We analyze the structure of the vacuum polarization tensor in the presence of a background electromagnetic field in a medium. We use various discrete symmetries and crossing symmetry to constrain the form factors obtained for the most…

High Energy Physics - Phenomenology · Physics 2016-08-25 Avijit K. Ganguly , Sushan Konar , Palash B. Pal

In this paper we obtain the linear Weyl gravity in de Sitter background. Its linear form in five-dimensional ambient space notation has also been obtained. From the group theoretical point of view, we show that this conformal invariant…

General Relativity and Quantum Cosmology · Physics 2010-12-23 M. V. Takook , M. R. Tanhayi

We discuss several aspects of quantum field theory of a scalar field in a Friedmann universe, clarifying and highlighting several conceptual and technical issues. (A) We show that one can map the dynamics of (1) a massless scalar field in a…

General Relativity and Quantum Cosmology · Physics 2019-01-17 Kinjalk Lochan , Karthik Rajeev , Amit Vikram , T. Padmanabhan

The quantum theory of the vector field minimally coupled to the gravity of the de Sitter spacetime is built in a canonical manner starting with a new complete set of quantum modes of given momentum and helicity derived in the moving chart…

General Relativity and Quantum Cosmology · Physics 2010-04-14 Ion I. Cotaescu

We evaluate the one and two loop contributions to the expectation values of two coincident and gauge invariant scalar bilinears in the theory of massless, minimally coupled scalar quantum electrodynamics on a locally de Sitter background.…

General Relativity and Quantum Cosmology · Physics 2009-11-11 T. Prokopec , N. C. Tsamis , R. P. Woodard

We study a non-relativistic realisation of two-dimensional de Sitter gravity both from its boundary and bulk description with the goal of learning about de Sitter space and paving the way for extending the holographic duality into a…

High Energy Physics - Theory · Physics 2026-04-15 Matthias Harksen , Diego Hidalgo , Watse Sybesma

A previous calculation of the 1-loop photon contribution to the graviton self-energy on de Sitter background is considered. We first show that there is no local obstacle to conservation, unlike the contribution from a loop of massless,…

General Relativity and Quantum Cosmology · Physics 2024-12-17 A. J. Foraci , R. P. Woodard

We construct the graviton propagator on de Sitter background in the one parameter family of exact, de Sitter invariant gauges. Our result takes the form of a universal spin two part and a gauge dependent spin zero part. Scalar equations are…

General Relativity and Quantum Cosmology · Physics 2015-06-05 P. J. Mora , N. C. Tsamis , R. P. Woodard

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 examine the behavior of correlation functions for a massless scalar field in de Sitter space with a quartic interaction. We find that two-loop corrections are relevant, and that the resummation of these corrections generates a…

High Energy Physics - Theory · Physics 2015-09-30 Arvind Rajaraman

We construct the scalar and graviton propagator in quasi de Sitter space up to first order in the slow roll parameter $\epsilon\equiv -\dot{H}/H^2$. After a rescaling, the propagators are similar to those in de Sitter space with an…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Tomas Janssen , Tomislav Prokopec

In this thesis massive higher derivative gravity theories are analyzed in some detail. One-particle scattering amplitude between two covariantly conserved sources mediated by a graviton exchange is found at tree-level in $D$ dimensional…

General Relativity and Quantum Cosmology · Physics 2012-02-01 Ibrahim Gullu

We show that the induced representations of the de Sitter isometry group proposed many years ago by Nachtmann are equivalent to those derived from our general theory of external symmetry. These methods complete each other leading to a…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Ion I. Cotaescu

We work in the locally de Sitter background of an inflating universe and consider a massless, minimally coupled scalar with a quartic self-interaction. We use dimensional regularization to compute the fully renormalized scalar…

General Relativity and Quantum Cosmology · Physics 2010-04-06 T. Brunier , V. K. Onemli , R. P. Woodard

We study the behaviour of a light quartically self-interacting scalar field $\phi$ on curved backgrounds that may be described with the cosmological equation state parameter $w$. At leading order in the non-perturbative 2PI expansion we…

General Relativity and Quantum Cosmology · Physics 2018-01-29 Tommi Markkanen

Taking into account the Green-Schwarz anomaly counterterm in R-symmetry gauged $N=(1,0)$ supergravity in six dimensions, and the associated modification in the Maxwell kinetic term and potential, we observe that the theory admits…

High Energy Physics - Theory · Physics 2025-10-15 Xu Guo , Yi Pang , Ergin Sezgin

We obtain analytic results for the four-point amplitude, at one loop, of an interacting scalar field theory in four-dimensional, Euclidean anti-de Sitter space without exerting any conformal field theory knowledge. For the two-point…

High Energy Physics - Theory · Physics 2018-09-10 Igor Bertan , Ivo Sachs

Polarized Compton scattering on the deuteron is studied in nuclear effective field theory. A set of tensor structures is introduced to define 12 independent Compton amplitudes. The scalar and vector amplitudes are calculated up to ${\cal…

Nuclear Theory · Physics 2009-11-10 Jiunn-Wei Chen , Xiangdong Ji , Yingchuan Li
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