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We consider light scalar fields during inflation and show how the stochastic spectral expansion method can be used to calculate two-point correlation functions of an arbitrary local function of the field in de Sitter space. In particular,…

General Relativity and Quantum Cosmology · Physics 2019-08-02 Tommi Markkanen , Arttu Rajantie , Stephen Stopyra , Tommi Tenkanen

We exploit a recent computation of one graviton loop corrections to the self-mass [1] to quantum-correct the field equation for a massless, conformally coupled scalar on a de Sitter background. With the obvious choice for the finite part of…

General Relativity and Quantum Cosmology · Physics 2021-06-02 D. Glavan , S. P. Miao , T. Prokopec , R. P. Woodard

We present a two-field inflation model where inflaton field has a non-canonical kinetic term due to the presence of a dilaton field. It is a two-parameter generalization of one-parameter Brans-Dicke gravity in the Einstein frame. We show…

High Energy Physics - Phenomenology · Physics 2016-08-03 Girish Kumar Chakravarty , Suratna Das , Gaetano Lambiase , Subhendra Mohanty

In the framework of finite temperature conformal scalar field theory on de Sitter space-time the linearized Einstein equations for the renormalized stress tensor are exactly solved. In this theory quantum field fluctuations are concentrated…

General Relativity and Quantum Cosmology · Physics 2010-04-06 D. V. Fursaev , G. Miele

In recent papers [1,2], it has been shown that the presence of negative norm states or negative frequency solutions are indispensable for a fully covariant quantization of the minimally coupled scalar field in de Sitter space. Their…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mohammad Vahid Takook

We propose a new class of gravity-matter models defined in terms of two independent non-Riemannian volume forms (alternative generally covariant integration measure densities) on the spacetime manifold. For the matter we choose appropriate…

High Energy Physics - Theory · Physics 2015-07-23 Eduardo Guendelman , Emil Nissimov , Svetlana Pacheva

Stability analysis on the De Sitter universe in pure gravity theory is known to be useful in many aspects. We first show how to complete the proof of an earlier argument based on a redundant field equation. It is shown further that the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 W. F. Kao , Ue-Li Pen , Pengjie Zhang

The inclusion of a flat metric tensor in gravitation permits the formulation of a gravitational stress-energy tensor and the formal derivation of general relativity from a linear theory in flat spacetime. Building on the works of Kraichnan…

General Relativity and Quantum Cosmology · Physics 2015-06-25 J. Brian Pitts , W. C. Schieve

We study two-point correlation functions of a massive free scalar field in de Sitter space using the heat kernel formalism. Focusing on two operators in conjugate static patches we derive a geodesic approximation to the two-point correlator…

High Energy Physics - Theory · Physics 2023-08-17 Lars Aalsma , Mir Mehedi Faruk , Jan Pieter van der Schaar , Manus Visser , Job de Witte

We investigate the symmetry structure of inflation in 2+1 dimensions. In particular, we show that the asymptotic symmetries of three-dimensional de Sitter space are in one-to-one correspondence with cosmological adiabatic modes for the…

High Energy Physics - Theory · Physics 2017-01-25 Kurt Hinterbichler , Austin Joyce , Justin Khoury

We study the dynamics of scalar fields with compact field spaces, or axions, in de Sitter space. We argue that the field space topology can qualitatively affect the physics of these fields beyond just which terms are allowed in their…

High Energy Physics - Theory · Physics 2023-11-16 Priyesh Chakraborty , John Stout

We characterize graviton non-Gaussianities in models of inflation where de Sitter boosts are spontaneously broken. We discuss which of the symmetry breaking patterns studied in Nicolis et al., 2015 can sustain a period of quasi de Sitter…

High Energy Physics - Theory · Physics 2021-12-08 Giovanni Cabass

Based on the construction of the 4-dim noncommutative gravity model described in our previous work, first, a more extended description of the covariant noncommutative space (fuzzy 4-dim de Sitter space), which accommodates the gravity…

High Energy Physics - Theory · Physics 2021-09-22 G. Manolakos , P. Manousselis , G. Zoupanos

In this work, we study two potentials, the single-field and the two-field, from the modified ($R+\gamma R^n$) gravity in D=8 dimensions. From those potentials, we calculate four observable quantities in inflation, including scalar-to-tensor…

General Relativity and Quantum Cosmology · Physics 2025-11-10 Hai Dang Nguyen , Hoang Nam Cao

It has been shown that the theory of linear conformal quantum gravity must include a tensor field of rank-3 and mixed symmetry [1]. In this paper, we obtain the corresponding field equation in de Sitter space. Then, in order to relate this…

General Relativity and Quantum Cosmology · Physics 2014-11-18 M. V. Takook , M. R. Tanhayi , S. Fatemi

Motivated by the study of soluble models of quantum field theory, we illustrate a new type of topological effect by comparing the constructions of canonical Klein-Gordon quantum fields on the two-dimensional de Sitter spacetime as opposed…

High Energy Physics - Theory · Physics 2019-01-31 Henri Epstein , Ugo Moschella

It is believed that gravity will be explained in the framework of the existing quantum theory when one succeeds in eliminating divergencies at large momenta or small distances (although the phenomenon of gravity has been observed only at…

General Relativity and Quantum Cosmology · Physics 2008-07-28 Felix Lev

For a special value of the mass, a massive graviton on de Sitter space acquires an enhanced scalar gauge symmetry, and is called partially massless. The partially massless graviton possesses a duality invariance akin to electromagnetic…

High Energy Physics - Theory · Physics 2026-05-28 Kurt Hinterbichler

We consider soft graviton scattering for a theory where Einstein's gravity is minimally coupled to a scalar field in the presence of a cosmological constant, i.e. in a background de Sitter space. Employing a perturbative expansion in a…

High Energy Physics - Theory · Physics 2025-12-08 Divyesh N. Solanki , Pratik Chattopadhyay , Srijit Bhattacharjee

An exact de Sitter solution of scalar-tensor gravity is found, in which the non-minimal coupling scalar is rolling along a non-constant potential. Based on this solution, a dust-filled FRW universe is explored in frame of scalar-tensor…

General Relativity and Quantum Cosmology · Physics 2010-06-22 Hongsheng Zhang , Xin-Zhou Li
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