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We analyze the long distance behavior of the two-point functions for an interacting scalar $O(N)$ model in de Sitter spacetime. Following our previous work, this behavior is analyzed by analytic continuation of the Euclidean correlators,…

High Energy Physics - Theory · Physics 2018-10-05 Diana López Nacir , Francisco D. Mazzitelli , Leonardo G. Trombetta

We derive the leading quantum corrections to the gravitational potentials in a de Sitter background, due to the vacuum polarization from loops of conformal fields. Our results are valid for arbitrary conformal theories, even strongly…

High Energy Physics - Theory · Physics 2017-01-25 Markus B. Fröb , Enric Verdaguer

We prove some estimations of the correlation of two local observables in quantum spin systems (with Schr\"odinger equations) at large temperature. For that, we describe the heat kernel of the Hamiltonian for a finite subset of the lattice,…

Mathematical Physics · Physics 2007-05-23 Laurent Amour , Claudy Cancelier , Pierre Levy-Bruhl , Jean Nourrigat

We study finite-coupling effects of QFT on a rigid de Sitter (dS) background taking the $O(N)$ vector model at large $N$ as a solvable example. Extending standard large $N$ techniques to the dS background, we analyze the phase structure and…

High Energy Physics - Theory · Physics 2025-02-05 Lorenzo Di Pietro , Victor Gorbenko , Shota Komatsu

The two-particle models in de Sitter space-time with time-asymmetric retarded-advanced interactions are constructed. Particular cases of the field-type electromagnetic and scalar interactions are considered. The manifestly covariant…

General Relativity and Quantum Cosmology · Physics 2026-02-18 Askold Duviryak

We propose a new model of low dimensional de Sitter holography in the form of a pair of double-scaled SYK models at infinite temperature coupled via an equal energy constraint $H_L=H_R$. As a test of the duality, we compute the two-point…

High Energy Physics - Theory · Physics 2023-10-27 Vladimir Narovlansky , Herman Verlinde

The two-point correlation function of a massive field $\langle\chi(\tau)\chi(0)\rangle$, measured along an observer's worldline in de Sitter (dS), decays exponentially as $\tau \to \infty$. Meanwhile, every dS observer is surrounded by a…

High Energy Physics - Theory · Physics 2025-02-25 Mehrdad Mirbabayi

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

We investigate quantum entanglement between two symmetric spatialregions in de Sitter space with the Bunch-Davies vacuum. As a discretized model of the scalar field for numerical simulation, we consider a harmonic chain model. Using the…

General Relativity and Quantum Cosmology · Physics 2018-07-12 Akira Matsumura , Yasusada Nambu

During inflation, the geometry of spacetime is described by a (quasi-)de Sitter phase. Inflationary observables are determined by the underlying (softly broken) de Sitter isometry group SO(1, 4) which acts like a conformal group on R^3:…

High Energy Physics - Theory · Physics 2016-01-20 Alex Kehagias , Antonio Riotto

We derive an explicit expression for the leading term in the late-time, large-distance asymptotic expansion of a transverse dynamical two-point function of the XX chain in the spacelike regime. This expression is valid for all non-zero…

Statistical Mechanics · Physics 2024-06-18 Frank Göhmann , Karol K. Kozlowski , Junji Suzuki

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

From the group theoretical point of view, it is proved that the theory of linear conformal gravity should be written in terms of a tensor field of rank-3 and mixed symmetry [Binegar, et al, Phys. Rev. D 27, (1983) 2249]. We obtained such a…

General Relativity and Quantum Cosmology · Physics 2012-07-10 M. V. Takook , H. Pejhan , M. Reza Tanhayi

Anti-de Sitter spacetime and the static patch of de Sitter spacetime are arenas for investigating thermal and finite-size effects seen by an accelerated quantum observer. We consider an Unruh-DeWitt detector in uniform circular motion…

General Relativity and Quantum Cosmology · Physics 2024-06-26 Cameron R. D. Bunney , Jorma Louko

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

Loop corrections to unequal-time correlation functions in Minkowski spacetime exhibit secular growth due to a breakdown of time-dependent perturbation theory. This is analogous to secular growth in equal-time correlators on time-dependent…

High Energy Physics - Theory · Physics 2023-03-07 Spasen Chaykov , Nishant Agarwal , Sina Bahrami , R. Holman

We construct the gravity background which describes the dual field theory with aging invariance. We choose the decay modes of the bulk scalar field in the internal spectator direction to obtain the dissipative behavior of the boundary…

High Energy Physics - Theory · Physics 2012-04-04 Seungjoon Hyun , Jaehoon Jeong , Bom Soo Kim

We investigate de Sitter/conformal field theory (dS/CFT) correspondence in two dimensions. We define the conserved mass of de Sitter spacetime and formulate the correspondence along the lines of anti-de Sitter/conformal field theory…

High Energy Physics - Theory · Physics 2009-11-07 M. Cadoni , P. Carta , M. Cavaglia' , S. Mignemi

We present the expressions of the three- and four-point correlation functions of a self interacting light scalar field in a de Sitter spacetime at tree order respectively for a cubic and a quartic potential. Exact expressions are derived…

Astrophysics · Physics 2009-11-10 Francis Bernardeau , Tristan Brunier , Jean-Philippe Uzan

In this article, we study the quantum field theoretic generalization of the Caldeira-Leggett model in general curved space-time considering interactions between two scalar fields in a classical gravitational background. The thermalization…

High Energy Physics - Theory · Physics 2023-10-18 Subhashish Banerjee , Sayantan Choudhury , Satyaki Chowdhury , Johannes Knaute , Sudhakar Panda , K. Shirish