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The quantum fluctuations of a test scalar field on superhorizon scale in de Sitter spacetime can be described by an effective one-dimensional stochastic theory corresponding to a particular class of nonequilibrium dynamical systems known as…

High Energy Physics - Theory · Physics 2020-02-28 G. Moreau , J. Serreau

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

Using the dS/QFT correspondence in the context of inflation allows for the study of interesting, otherwise inaccessible physics. In particular, by studying inflation via its dual field theory at the boundary of the de Sitter space, it may…

Cosmology and Nongalactic Astrophysics · Physics 2011-08-08 Mafalda Dias

We develop integration-by-parts (IBP) reduction and differential equations for massive loop integrals of cosmological correlators in de Sitter (dS) spacetime, demonstrating the feasibility of this approach. We identify a structural property…

High Energy Physics - Theory · Physics 2026-04-21 Jiaqi Chen , Bo Feng , Zhehan Qin , Yi-Xiao Tao

We calculate the four point correlation function for scalar perturbations in the canonical model of slow-roll inflation. We work in the leading slow-roll approximation where the calculation can be done in de Sitter space. Our calculation…

High Energy Physics - Theory · Physics 2014-10-14 Archisman Ghosh , Nilay Kundu , Suvrat Raju , Sandip P. Trivedi

We study collisions between pairs of bubbles nucleated in an ambient false vacuum. For the first time, we include the effects of small initial (quantum) fluctuations around the instanton profiles describing the most likely initial bubble…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-09 J. Richard Bond , Jonathan Braden , Laura Mersini-Houghton

Criteria for the existence of de Sitter inflation with dilaton fields in four-dimensional space-times with torsion is discussed.The relation between matter density perturbation and the spin-density perturbation is stablished based on this…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. C. Garcia de Andrade

A pressing problem in comparing inflationary models with observation is the accurate calculation of correlation functions. One approach is to evolve them using ordinary differential equations ("transport equations"), analogous to the…

Cosmology and Nongalactic Astrophysics · Physics 2012-09-10 David Seery , David J. Mulryne , Jonathan Frazer , Raquel H. Ribeiro

We study the relation between two sets of correlators in interacting quantum field theory on de Sitter space. The first are correlators computed using in-in perturbation theory in the expanding cosmological patch of de Sitter space (also…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Atsushi Higuchi , Donald Marolf , Ian A. Morrison

The time evolution of primordial fluctuations conceals a wealth of insights into the high-energy physics at play during the earliest moments of our Universe, which is ultimately encoded in late-time spatial correlation functions. However,…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-12 Lucas Pinol , Sébastien Renaux-Petel , Denis Werth

We use dimensional regularization to compute the one loop quantum gravitational contribution to the vacuum polarization on de Sitter background. Adding the appropriate BPHZ counterterms gives a fully renormalized result which can be used to…

General Relativity and Quantum Cosmology · Physics 2014-06-23 Katie E. Leonard , R. P. Woodard

The creation of 4d de Sitter (inflationary) boundary gluing two d5 de Sitter bulks on the classical as well as on quantum level (with account of brane QFT via corresponding trace anomaly induced effective action) is discussed. Quantum…

High Energy Physics - Theory · Physics 2009-11-07 Shin'ichi Nojiri , Sergei D. Odintsov

We use dimensional regularization to evaluate the one loop contribution to the graviton self-energy from a massless, minimally coupled scalar on a locally de Sitter background. For noncoincident points our result agrees with the stress…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Sohyun Park , R. P. Woodard

The most general tree-level boundary correlation functions of quantum fields in inflationary spacetime involve multiple exchanges of massive states in the bulk, which are technically difficult to compute due to the multi-layer nested time…

High Energy Physics - Theory · Physics 2024-03-13 Zhong-Zhi Xianyu , Jiaju Zang

We study the realization of cosmic inflation in bigravity theories. By analyzing the evolution of scalar, vector, and tensor perturbations in de Sitter-like spacetimes, we find strong stability constraints on the class of viable vacua…

High Energy Physics - Theory · Physics 2012-12-21 Vicente Atal , Luis E. Campusano , Gonzalo A. Palma

We consider the evolution of quantum fields during inflation, and show that the total-energy singularities appearing in the perturbative expansion of the late-time Wavefunction of the Universe are purely real when the external states are…

High Energy Physics - Theory · Physics 2024-06-11 David Stefanyszyn , Xi Tong , Yuhang Zhu

We investigate cosmological perturbations generated during de Sitter inflation in the three-coupled scalar theory. This theory is composed of three coupled scalars ($\phi_p,p=1,2,3$) to give a sixth-order derivative scalar theory for…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Yun Soo Myung , Taeyoon Moon

In this work, we investigate how cosmological correlators can be reconstructed by applying the momentum-space dispersion formula to their discontinuities, treating them as functions of momentum variables associated with the corresponding de…

High Energy Physics - Theory · Physics 2026-02-06 Shibam Das , Debanjan Karan , Babli Khatun , Nilay Kundu

We approach the cosmological inflation thought symmetries of differential equations. We consider the general inflaton field in a homogeneous Friedmann--Lema\^{\i}tre--Robertson--Walker spacetime and with the use of conformal transformations…

General Relativity and Quantum Cosmology · Physics 2019-10-02 Andronikos Paliathanasis

We study the evolution of simple cosmic string loop solutions in an inflationary universe. We show, for the particular case of circular loops, that periodic solutions do exist in a de Sitter universe, below a critical loop radius $R_c…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. P. Avelino , C. J. A. P. Martins , E. P. S. Shellard