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We consider an $O(N)$ scalar field model with quartic interaction in $d$-dimensional Euclidean de Sitter space. In order to avoid the problems of the standard perturbative calculations for light and massless fields, we generalize to the…

高能物理 - 理论 · 物理学 2016-09-22 Diana López Nacir , Francisco D. Mazzitelli , Leonardo G. Trombetta

We present a method to compute the two-point functions for an $O(N)$ scalar field model in de Sitter spacetime, avoiding the well known infrared problems for massless fields. The method is based on an exact treatment of the Euclidean zero…

高能物理 - 理论 · 物理学 2016-11-01 Diana López Nacir , Francisco D. Mazzitelli , Leonardo G. Trombetta

We study the two-point correlator of an O(N) scalar field with quartic self-coupling in de Sitter space. For light fields in units of the expansion rate, perturbation theory is plagued by large logarithmic terms for superhorizon momenta. We…

高能物理 - 理论 · 物理学 2015-06-16 Florian Gautier , Julien Serreau

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,…

高能物理 - 理论 · 物理学 2018-10-05 Diana López Nacir , Francisco D. Mazzitelli , Leonardo G. Trombetta

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…

高能物理 - 理论 · 物理学 2015-12-09 Florian Gautier , Julien Serreau

We explore two-point and four-point correlation functions of a massive scalar field on the flat de Sitter background in the long-wavelength approximation. By employing the Yang-Feldman-type equation, we compute the two-point correlation…

高能物理 - 理论 · 物理学 2025-04-18 Alexander Kamenshchik , Polina Petriakova

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…

高能物理 - 理论 · 物理学 2015-06-15 Julien Serreau

We compute 1-loop corrections to Lorentz-signature de Sitter-invariant 2-point functions defined by the interacting Euclidean vacuum for massive scalar quantum fields with cubic and quartic interactions. Our results apply to all masses for…

广义相对论与量子宇宙学 · 物理学 2010-12-23 Donald Marolf , Ian A. Morrison

We study the infrared (long distance) behavior of the free photon field in de Sitter spacetime. Using a two-parameter family of gauge fixing terms, we show that the infrared (IR) behavior of the two-point function is highly gauge-dependent…

广义相对论与量子宇宙学 · 物理学 2011-07-29 Ahmed Youssef

We analyze the computation of $n$-point correlation functions in de Sitter spacetime, including loop corrections, using the wavefunction of the universe approach. This method consists of two stages employing distinct Feynman rules. First,…

高能物理 - 理论 · 物理学 2025-03-26 Javier Huenupi , Ellie Hughes , Gonzalo A. Palma , Spyros Sypsas

We consider massive \lambda\phi^4 theory in de Sitter background. The mass of the scalar field \phi is chosen small enough, such that the amplification of superhorizon momentum modes leads to a significant enhancement of infrared…

高能物理 - 理论 · 物理学 2014-03-12 Bjorn Garbrecht , Gerasimos Rigopoulos , Yi Zhu

We study the infrared behaviour of the two-dimensional Euclidean O(N) nonlinear sigma-Model with a suitable ultraviolet cutoff. It is proven that for a sufficiently large (but finite!) number N of field components the model is massive and…

数学物理 · 物理学 2009-10-31 Ch. Kopper

We study the O(N) scalar field theory with quartic self-coupling in de Sitter space. When the field is light in units of the expansion rate, perturbative methods break down at very low momenta due to large infrared logarithmic terms. Using…

高能物理 - 理论 · 物理学 2015-06-15 Julien Serreau , Renaud Parentani

Using the Schwinger-Keldysh-formalism, reformulated in arXiv:2108.01695 as an effective field theory in Euclidean anti-de Sitter, we evaluate the one-loop cosmological four-point function of a conformally coupled interacting scalar field in…

高能物理 - 理论 · 物理学 2022-09-07 T. Heckelbacher , I. Sachs , E. Skvortsov , P. Vanhove

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…

高能物理 - 理论 · 物理学 2018-09-10 Igor Bertan , Ivo Sachs

We compute the spectrum of primordial gravitational wave perturbations in open de Sitter spacetime. The background spacetime is taken to be the continuation of an O(5) symmetric instanton saddle point of the Euclidean no boundary path…

高能物理 - 理论 · 物理学 2009-10-31 S. W. Hawking , Thomas Hertog , Neil Turok

In our previous paper (Phys. Rev. D 94, 104030 (2016)), inspired by the work of Allen and Turyn (Nucl. Phys. B 292, 813 (1987)), we expressed the graviton two-point function in terms of maximally symmetric bitensors in de Sitter spacetime.…

广义相对论与量子宇宙学 · 物理学 2017-04-04 Surena Rahbardehghan , Hamed Pejhan

We describe the analytic continuation of two-loop four-point functions with one off-shell external leg and internal massless propagators from the Euclidean region of space-like $1\to 3$ decay to Minkowskian regions relevant to all $1\to 3$…

高能物理 - 唯象学 · 物理学 2010-04-05 T. Gehrmann , E. Remiddi

We consider light scalar fields during inflation and show how the stochastic spectral expansion method can be used to calculate two-point correlation functions of an arbitrary local function of the field in de Sitter space. In particular,…

广义相对论与量子宇宙学 · 物理学 2019-08-02 Tommi Markkanen , Arttu Rajantie , Stephen Stopyra , Tommi Tenkanen

We study massive real scalar $\phi^4$ theory in the expanding Poincare patch of de Sitter space. We calculate the leading two-loop infrared contribution to the two-point function in this theory. We do that for the massive fields both from…

高能物理 - 理论 · 物理学 2013-11-18 E. T. Akhmedov , F. K. Popov , V. M. Slepukhin
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