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We consider phase transitions on (eternal) de Sitter in an O(N) symmetric scalar field theory. Making use of Starobinsky's stochastic inflation we prove that deep infrared scalar modes cannot form a condensate -- and hence they see an…

High Energy Physics - Theory · Physics 2013-04-02 Gianrocco Lazzari , Tomislav Prokopec

The stochastic effective theory approach, often called stochastic inflation, is widely used in cosmology to describe scalar field dynamics during inflation. The existing formulations are, however, more qualitative than quantitative because…

General Relativity and Quantum Cosmology · Physics 2024-02-29 Archie Cable , Arttu Rajantie

We study the quantum theory of an O(N) scalar field on de Sitter geometry at leading order in a nonperturbative 1/N-expansion. This resums the infinite series of so-called superdaisy loop diagrams. We obtain the de Sitter symmetric…

High Energy Physics - Theory · Physics 2015-05-28 Julien Serreau

Recently proposed de Sitter Swampland conjectures imply non-trivial constraints on a scalar field potential in any effective field theory that admits a quantum gravity completion. The original conjecture apparently excludes many…

General Physics · Physics 2019-01-25 Archil Kobakhidze

The finite-temperature one-loop effective potential for a scalar field in the static de Sitter space-time is obtained. Within this framework, by using zeta-function regularization, one can get, in the conformally invariant case, the…

High Energy Physics - Theory · Physics 2009-10-22 D. V. Fursaev , G. Miele

We derive a systematic treatment of one-loop effective potentials for interacting scalar fields in curved spacetimes, providing a general formula valid in arbitrary geometries and explicit results for de Sitter and anti-de Sitter…

High Energy Physics - Theory · Physics 2026-03-03 Alfio Bonanno , Sergio Luigi Cacciatori , Ugo Moschella

We investigate scalar field theories in de Sitter space by means of nonperturbative renormalization group techniques. We compute the functional flow equation for the effective potential of O(N) theories in the local potential approximation…

High Energy Physics - Theory · Physics 2015-10-14 Maxime Guilleux , Julien Serreau

Effective potential of a scalar field induced by weak gravity is studied. The set of operators relevant for leading effects and preserving the second order of field equations is found. It is shown that only the mass term and a specific…

High Energy Physics - Theory · Physics 2020-10-30 Andrej Arbuzov , Boris Latosh

This thesis introduces an effective theory for the long-distance behaviour of scalar fields in de Sitter spacetime, known as the second-order stochastic theory, with the aim of computing scalar correlation functions that are useful in…

General Relativity and Quantum Cosmology · Physics 2024-01-08 Archie Cable

We consider a scalar field theory with quartic self interaction, Yukawa coupled to fermions in the inflationary de Sitter spacetime background. The scalar has a classical background plus quantum fluctuations, whereas the fermions are taken…

High Energy Physics - Theory · Physics 2025-10-31 Sourav Bhattacharya , Kinsuk Roy

We use the spectral representation of the stochastic Starobinsky-Yokoyama approach to compute correlation functions in de Sitter space for a scalar field with a symmetric or asymmetric double-well potential. The terms in the spectral…

General Relativity and Quantum Cosmology · Physics 2020-03-26 Tommi Markkanen , Arttu Rajantie

We introduce a second-order stochastic effective theory for light scalar fields in de Sitter spacetime, extending the validity of the stochastic approach beyond the massless limit and demonstrating how it can be used to compute…

General Relativity and Quantum Cosmology · Physics 2023-01-04 Archie Cable , Arttu Rajantie

We consider derivation of the effective potential for a scalar field in curved space-time within the physical regularization scheme, using two sorts of covariant cut-off regularizations. The first one is based on the local momentum…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Flavia Sobreira , Baltazar J. Ribeiro , Ilya L. Shapiro

We derive the scalar potential in zero mode effective action arising from a de Sitter brane embedded in five dimensions with bulk cosmological constant $\Lambda$. The scalar potential for a scalar field canonically normalized is given by…

High Energy Physics - Theory · Physics 2009-11-10 Masato Ito

We calculate the effective potentials for scalar, Dirac and Yang-Mills fields in curved backgrounds using a new method for the determination of the heat kernel involving a re-summation of the Schwinger-DeWitt series. Self-interactions are…

High Energy Physics - Theory · Physics 2008-02-03 Frank Antonsen , Karsten Bormann

Effective field theories in flat space and in anti-de Sitter space are constrained by causality and unitarity, often in the form of positivity bounds. Similar bounds have been harder to demonstrate in cosmological backgrounds, where the…

High Energy Physics - Theory · Physics 2023-10-24 Daniel Green , Yiwen Huang , Chia-Hsien Shen , Daniel Baumann

The properties of the effective scalar potential are studied in the framework of type IIB string theory, taking into account perturbative and non-perturbative corrections. The former modify the K\"ahler potential and include $\alpha'$ and…

High Energy Physics - Theory · Physics 2020-10-07 Vasileios Basiouris , George K. Leontaris

We study the possibility of realizing scale-separated type IIB Anti-de Sitter and de Sitter compactifications within a controlled effective field theory regime defined by low-energy and large (but scale-separated) compactification volume.…

High Energy Physics - Theory · Physics 2020-12-30 Maxim Emelin

The effective field theory of cosmic acceleration systematizes possible contributions to the action, accounting for both dark energy and modifications of gravity. Rather than making model dependent assumptions, it includes all terms,…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-19 Eric V. Linder , Gizem Sengör , Scott Watson

We consider a quantum scalar field with {\lambda}{\phi}^4 interaction in curved spacetimes. The quantum effects are taken into account nonperturbatively using the Hartree approximation to the 2PI effective action. Although this…

High Energy Physics - Theory · Physics 2014-01-15 Diana L. López Nacir , Francisco D. Mazzitelli , Leonardo G. Trombetta
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