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Related papers: Cosmological Correlators at Finite Coupling

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We investigate the nonlinear two- and three-point correlation functions of the cosmological density field in Fourier space and test the popular hierarchical clustering model, that the three-point amplitude Q is independent of scale. In…

Astrophysics · Physics 2009-10-31 Chung-Pei Ma , J. N. Fry

The renormalized zero-momentum four-point coupling $g_r$ of O(N)-invariant scalar field theories in $d$ dimensions is studied by applying the 1/N expansion and strong coupling analysis. The O(1/N) correction to the $\beta$-function and to…

High Energy Physics - Lattice · Physics 2009-10-28 M. Campostrini , A. Pelissetto , P. Rossi , E. Vicari

We compute the four-point correlation function of a light O(N) scalar field in de Sitter space in the large-N limit. For superhorizon momentum modes, infrared effects strongly enhance the size of loop contributions. We find that in the deep…

High Energy Physics - Theory · Physics 2015-06-15 Julien Serreau

We examine the relation between supersymmetric localization on $\mathbb{S}^4$ and standard QFT results for non-conformal theories in flat space. Specifically, we consider 1/2 BPS circular Wilson loops in four-dimensional SU($N$)…

High Energy Physics - Theory · Physics 2024-08-14 Marco Billo' , Luca Griguolo , Alessandro Testa

We study 3d CFTs with an $O(N)$ global symmetry using the conformal bootstrap for a system of mixed correlators. Specifically, we consider all nonvanishing scalar four-point functions containing the lowest dimension $O(N)$ vector $\phi_i$…

High Energy Physics - Theory · Physics 2015-11-30 Filip Kos , David Poland , David Simmons-Duffin , Alessandro Vichi

The recent emergence of the modern conformal bootstrap method for the study of conformal field theories (CFTs) has enabled the revisiting of old problems in classical critical phenomena described by three-dimensional CFTs. The study of such…

High Energy Physics - Theory · Physics 2022-06-29 Stefanos R. Kousvos , Andreas Stergiou

Four-point correlation functions are observables of significant interest in holographic field theories. We compute an infinite family of four-point correlation functions of operators in short multiplets of 4D N=4 super Yang-Mills theory in…

High Energy Physics - Theory · Physics 2024-12-19 David Turton , Alexander Tyukov

We consider a self-interacting scalar field in a de Sitter background and deal with the associated infrared divergences in a purely diagrammatic way using the in-in formalism. In the particular case of a large N O(N) invariant scalar field…

General Relativity and Quantum Cosmology · Physics 2008-10-21 G. Petri

We study the 3-point functions of single-trace scalar operators in a four-dimensional $\mathcal{N}=2$ SYM theory with gauge group $\mathrm{SU}(N)$ and matter in the symmetric plus anti-symmetric representation, which has a vanishing…

High Energy Physics - Theory · Physics 2022-09-07 M. Billo , M. Frau , A. Lerda , A. Pini , P. Vallarino

We explore possible cosmological consequences of a running Newton's constant $ G ( \Box ) $, as suggested by the non-trivial ultraviolet fixed point scenario in the quantum field-theoretic treatment of Einstein gravity with a cosmological…

General Relativity and Quantum Cosmology · Physics 2011-09-08 Herbert W. Hamber , Reiko Toriumi

We study the gravitational collapse in five-dimensional de Sitter (dS) spacetime and discuss the existence of the conformal boundaries at future timelike infinity from the perspective of the dS/CFT correspondence. We investigate the motion…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Yukinori Iwashita , Hirotaka Yoshino , Tetsuya Shiromizu

We consider conformal perturbation theory for $n$-point functions on the sphere in general 2D CFTs to first order in coupling constant. We regulate perturbation integrals using canonical hard disk excisions of size $\epsilon$ around the…

High Energy Physics - Theory · Physics 2023-12-22 Benjamin A. Burrington , Ida G. Zadeh

We recently proposed a formula for tree-level $n$-point correlators of massive $\phi^4$ theory in de Sitter momentum space which consists of an integral over $n$ punctures on the Riemann sphere and differential operators in the future…

High Energy Physics - Theory · Physics 2022-08-05 Humberto Gomez , Renann Lipinski Jusinskas , Arthur Lipstein

The four point function of Conformal Field Theories (CFT's) with global symmetry gives rise to multiple crossing symmetry constraints. We explicitly study the correlator of four scalar operators transforming in the fundamental…

High Energy Physics - Theory · Physics 2015-05-28 Alessandro Vichi

We examine the late time behavior of the Bunch-Davies wavefunction for interacting light fields in a de Sitter background. We use perturbative techniques developed in the framework of AdS/CFT, and analytically continue to compute tree and…

High Energy Physics - Theory · Physics 2015-12-02 Dionysios Anninos , Tarek Anous , Daniel Z. Freedman , George Konstantinidis

We employ gauge-gravity duality to study the backreaction effect of 4-dimensional large-$N$ quantum field theories on constant-curvature backgrounds, and in particular de Sitter space-time. The field theories considered are holographic…

High Energy Physics - Theory · Physics 2020-07-22 Jewel Kumar Ghosh , Elias Kiritsis , Francesco Nitti , Lukas T. Witkowski

Correlation functions of the FF and F\tilde{F} operators in hot SU(3) Yang-Mills theory have recently been studied both on the lattice and in perturbation theory, and the results subsequently compared to the strong coupling limit of…

High Energy Physics - Phenomenology · Physics 2011-06-15 Aleksi Vuorinen

We study the consequences of the $f(R/\Box)$ gravity models for the Solar system and the large scale structure of the universe. The spherically symmetric solutions can be used to obtain bounds on the constant and the linear parts of the…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Tomi S. Koivisto

We consider correlation functions in symmetric product ($S_N$) orbifold CFTs at large $N$ with arbitrary seed CFT, expanding on our earlier work arXiv:2211.04633 . Using covering space techniques, we calculate descent relations using…

High Energy Physics - Theory · Physics 2023-03-22 Benjamin A. Burrington , A. W. Peet

We study the dynamics near big crunch singularities produced in asymptotic AdS cosmologies using gauge/gravity duality. The dual description consists of a constant mass deformation of ABJM theory on de Sitter space and is well-defined and…

High Energy Physics - Theory · Physics 2015-12-18 Adam Bzowski , Thomas Hertog , Marjorie Schillo