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We consider Einstein-Horndeski gravity with a negative bare constant as a holographic model to investigate whether a scale invariant quantum field theory can exist without the full conformal invariance. Einstein-Horndeski gravity can admit…

High Energy Physics - Theory · Physics 2019-09-04 Yue-Zhou Li , H. Lu , Hao-Yu Zhang

We investigate Cauchy Slice Holography in de Sitter spacetime. By performing a $T^2$ deformation of a (bottom-up) dS/CFT model, we obtain a holographic theory living on flat Cauchy slices of de Sitter, for which time is an emergent…

High Energy Physics - Theory · Physics 2026-01-28 Goncalo Araujo-Regado , Ayngaran Thavanesan , Aron C. Wall

In a recent paper (Phys. Rev. D 94, 125016 (2016)), the authors argued that the singularities of the two-point functions on the Poincar\'e domain of the $n$-dimensional anti-de Sitter spacetime ($\text{PAdS}_n$) have the Hadamard form,…

General Relativity and Quantum Cosmology · Physics 2019-06-05 J. P. M. Pitelli

We study the solutions to the Klein-Gordon equation for the massive scalar field in the universal covering space of two-dimensional anti-de Sitter space. For certain values of the mass parameter, we impose a suitable set of boundary…

Mathematical Physics · Physics 2023-01-12 Atsushi Higuchi , Lasse Schmieding , David Serrano Blanco

We consider a real, massive scalar field on ${\rm PAdS}_{d+1}$, the Poincar\'e domain of the $(d+1)$-dimensional anti-de Sitter (AdS) spacetime. We first determine all admissible boundary conditions that can be applied on the conformal…

General Relativity and Quantum Cosmology · Physics 2016-12-28 Claudio Dappiaggi , Hugo R. C. Ferreira

We find a coordinate-independent wave-packet solution of the massive Klein-Gordon equation with the conformal coupling to gravity in the de-Sitter universe. This solution can locally be represented through the superposition of…

High Energy Physics - Theory · Physics 2021-03-05 V. A. Emelyanov

In this work, we explore the quantum theories of the free massive scalar, the massive fermionic, and the electromagnetic fields, in a doubly special relativity scenario. This construction is based on a geometrical interpretation of the…

High Energy Physics - Theory · Physics 2025-02-24 J. J. Relancio , L. Santamaría-Sanz

We revisit the classical theory of ten-dimensional two-derivative gravity coupled to fluxes, scalar fields, D-branes, anti D-branes and Orientifold-planes. We show that such set-ups do not give rise to a four-dimensional positive curvature…

High Energy Physics - Theory · Physics 2015-06-18 Keshav Dasgupta , Rhiannon Gwyn , Evan McDonough , Mohammed Mia , Radu Tatar

The requirements of conformal invariance for two and three point functions for general dimension $d$ on flat space are investigated. A compact group theoretic construction of the three point function for arbitrary spin fields is presented…

High Energy Physics - Theory · Physics 2008-11-26 H. Osborn , A. Petkos

We study quantum field theories placed on a two-dimensional de Sitter spacetime (dS$_2$) with an eye on the group-theoretic organisation of single and multi-particle states. We explore the distinguished role of the discrete series unitary…

High Energy Physics - Theory · Physics 2023-08-22 Dionysios Anninos , Tarek Anous , Ben Pethybridge , Gizem Şengör

In terms of the Beltrami model of de Sitter space we show that there is an interchangeable relation between Snyder's quantized space-time model in dS-space of momenta at the Planck length $\ell_P=(G\hbar c^{-3})^{1/2}$ and the dS-invariant…

High Energy Physics - Theory · Physics 2007-05-23 Han-Ying Guo

We reformulate free equations of motion for massive spin 0 and spin 1/2 matter fields in 2+1 dimensional anti-de Sitter space in the form of some covariant constantness conditions. The infinite-dimensional representation of the anti-de…

High Energy Physics - Theory · Physics 2009-10-30 A. V. Barabanschikov , S. F. Prokushkin , M. A. Vasiliev

We study the dynamics of light quantum scalar fields in de Sitter space on superhorizon scales. We compute the self-energy of an O(N) symmetric theory at next-to-leading order in a 1/N expansion in the regime of superhorizon momenta, and we…

High Energy Physics - Theory · Physics 2015-12-09 Florian Gautier , Julien Serreau

In this work, we utilize the dynamic invariant method to obtain a solution for the time-dependent Schr\"odinger equation, aiming to explore the quantum theory of a $p$-form gauge field propagating in $D$-dimensional de Sitter spacetimes.…

High Energy Physics - Theory · Physics 2024-07-03 E. W. D. Dantas , G. Alencar , I. Guedes , Milko Estrada

We elaborate further the functional Schr\"{o}dinger-picture approach to the quantum field in curved spacetimes using the generalized invariant method and construct explicitly the Fock space, which we relate with the thermal field theory. We…

High Energy Physics - Theory · Physics 2007-05-23 Sang Pyo Kim

The two-point function for tensor metric perturbations around de Sitter spacetime including one-loop corrections from massless conformally coupled scalar fields is calculated exactly. We work in the Poincar\'e patch (with spatially flat…

General Relativity and Quantum Cosmology · Physics 2012-09-06 Markus B. Fröb , Albert Roura , Enric Verdaguer

We propose a new approach for constructing the late-time conformal boundary of quantum field theory in de Sitter spacetime. A boundary theory which consists of a continuous family of primary operators residing on unitary irreducible…

High Energy Physics - Theory · Physics 2024-12-03 Kamran Salehi Vaziri

We present an expression for the Weyl-Weyl two-point function in de Sitter spacetime, based on a recently calculated covariant graviton two-point function with one gauge parameter. We find that the Weyl-Weyl two-point function falls off…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Spyros S. Kouris

In this paper we recall the construction of Doubly Special Relativity (DSR) as a theory with energy-momentum space being the four dimensional de Sitter space. Then the bases of the DSR theory can be understood as different coordinate…

High Energy Physics - Theory · Physics 2008-11-26 Jerzy Kowalski-Glikman , Sebastian Nowak

Assuming the existence of the dS/CFT correspondence, we construct local scalar fields with $m^2>\left( \frac{d}{2} \right)^2$ in de Sitter space by smearing over conformal field theory operators on the future/past boundary. To maintain bulk…

High Energy Physics - Theory · Physics 2014-07-24 Xiao Xiao
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