English
Related papers

Related papers: On the Equivalence between Euclidean and In-In For…

200 papers

We study the effect of a bubble wall on the entanglement entropy of a free massive scalar field between two causally disconnected open charts in de Sitter space. We assume there is a delta-functional wall between the open charts. This can…

High Energy Physics - Theory · Physics 2018-05-09 Andreas Albrecht , Sugumi Kanno , Misao Sasaki

There are at least three different types of secular effects in the two-point correlation functions in scalar quantum field theories in de Sitter space-time. The first one is specific to de Sitter massless and tachyonic minimally coupled…

High Energy Physics - Theory · Physics 2019-04-17 E. T. Akhmedov , U. Moschella , F. K. Popov

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

Two harmonic oscillators interacting through the exchange of a quantum field leads to non-zero entanglement between the two, which is absent for classical interaction. In this work, we determine the entanglement between two such harmonic…

General Relativity and Quantum Cosmology · Physics 2025-06-16 Sumanta Chakraborty , Anupam Mazumdar , Ritapriya Pradhan

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 investigate cosmological correlators for conformally coupled $\phi^4$ theory in four-dimensional de Sitter space. These \textit{in-in} correlators differ from scattering amplitudes for massless particles in flat space due to the…

High Energy Physics - Theory · Physics 2024-03-01 Chandramouli Chowdhury , Arthur Lipstein , Jiajie Mei , Ivo Sachs , Pierre Vanhove

The predictions of inflation are usually defined in terms of equal time in-in correlation functions in an accelerating cosmological background. These same observables exist for quantum field theory in other spacetimes, including flat space.…

High Energy Physics - Theory · Physics 2025-01-29 Daniel Green , Guanhao Sun

The goal of the present note is to understand whether it is possible to define interacting quantum field theory in global anti de Sitter space-time with Lorentzian signature, in its covering space-time (whose time coordinate is not…

High Energy Physics - Theory · Physics 2021-02-17 E. T. Akhmedov , A. A. Artemev , I. V. Kochergin

We generalize key aspects of arXiv:1010.5367 (and also arXiv:1010.5327) to the case of {\em massless} $\lambda \phi^{2n}$ quantum field theory on deSitter spacetime. As in that paper, our key objective is to derive a suitable…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Stefan Hollands

We study the momentum-space entanglement between the sub- and super-Hubble modes of a spectator scalar field, with a cubic $\lambda \phi^3$ interaction, in de Sitter space. Momentum-space entanglement has some universal properties for any…

High Energy Physics - Theory · Physics 2023-02-28 Suddhasattwa Brahma , Jaime Calderón-Figueroa , Moatasem Hassan , Xuan Mi

We show how to construct a set of Euclidean conformal correlation functions on the boundary of a de Sitter space from an interacting bulk quantum field theory with a certain asymptotic behaviour. We discuss the status of the boundary theory…

High Energy Physics - Theory · Physics 2009-11-07 J. Bros , H. Epstein , U. Moschella

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 the relation between the time-ordered vacuum correlation functions for interacting real scalar fields in Minkowski spacetime and in the Rindler wedge. The correlation functions are constructed perturbatively within the in-in…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Atsushi Higuchi , William C. C. Lima

We investigate the principles of quantum field theory using a stiff de Sitter space. We demonstrate that a non-unitary Lagrangian on a Euclidean AdS geometry can produce the perturbative expansion of late-time correlation functions to all…

High Energy Physics - Theory · Physics 2026-03-05 Sayantan Choudhury

We consider the dynamics of massive spinning fields during inflation and the resulting signatures in the cosmological correlators of inflaton perturbations computed in the Poincar\'e patch of de Sitter space. There are (at least) two ways…

High Energy Physics - Theory · Physics 2025-10-13 Trevor Cheung , David Stefanyszyn

We study the quantum correlation and quantum communication channel of both free scalar and fermionic fields in de Sitter space, while the Planckian modification presented by the choice of a particular $\alpha$-vacuum has been considered. We…

Quantum Physics · Physics 2014-11-18 Jun Feng , Yao-Zhong Zhang , Mark D. Gould , Heng Fan , Cheng-Yi Sun , Wen-Li Yang

In-in correlators are the basic observables in cosmology and are traditionally computed using the Schwinger-Keldysh formalism. In this paper we revisit this formalism for photons, gluons, and gravitons coupled to scalars in four dimensional…

High Energy Physics - Theory · Physics 2025-12-17 Chandramouli Chowdhury , Arthur Lipstein , Joe Marshall , Alex Jiayi Zhang

In 1975 Figari, H{\o}egh-Krohn and Nappi constructed the P(phi)_2 model on the de Sitter space. Here we complement their work with new results, as well as by connecting this model to various areas of mathematics. In particular, i.) we…

Mathematical Physics · Physics 2019-09-19 João C. A. Barata , Christian D. Jäkel , Jens Mund

We show that position space correlators of a Poincare invariant quantum field theory can be recast in terms of conformally invariant correlators, in other words, as functions of conformal cross ratios. In particular, we show that…

High Energy Physics - Theory · Physics 2024-12-31 Siddharth G. Prabhu

Two-point correlators and self-correlators of primordial perturbations in quasi-de Sitter spacetime backgrounds are considered. For large separations two-point correlators exhibit nearly scale invariance, while for short distances…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Adrian del Rio , Jose Navarro-Salas