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We study a self-interacting scalar field theory in the presence of a \delta-function background potential. The role of surface interactions in obtaining a renormalizable theory is stressed and demonstrated by a two-loop calculation. The…

High Energy Physics - Theory · Physics 2015-06-04 David J. Toms

We work in the locally de Sitter background of an inflating universe and consider a massless, minimally coupled scalar with a quartic self-interaction. We use dimensional regularization to compute the fully renormalized scalar…

General Relativity and Quantum Cosmology · Physics 2010-04-06 T. Brunier , V. K. Onemli , R. P. Woodard

We consider an infrared truncated massless minimally coupled scalar field with a quartic self-interaction in the locally de Sitter background of an inflating universe. We compute the two-point correlation function of the scalar at one and…

General Relativity and Quantum Cosmology · Physics 2015-06-03 V. K. Onemli

The character of quantum corrections to the gravitational action of a conformally invariant field theory for a self-interacting scalar field on a manifold with boundary is considered at third loop-order in the perturbative expansion of the…

High Energy Physics - Theory · Physics 2009-11-07 George Tsoupros

We investigate the one-loop effective action for a test scalar field in a general Friedmann-Lema\^itre-Robertson-Walker (FLRW) background, specifically focusing on quantum corrections up to the second order in the interaction strength. By…

General Relativity and Quantum Cosmology · Physics 2026-02-02 Will Cerne , Teruaki Suyama

We consider single graviton loop corrections to the effective field equation of a massless, minimally coupled scalar on de Sitter background in the simplest gauge. We find a large temporal logarithm in the approach to freeze-in at late…

General Relativity and Quantum Cosmology · Physics 2022-03-16 D. Glavan , S. P. Miao , T. Prokopec , R. P. Woodard

We consider a theory of $N$ self-interacting quantum scalar fields with quartic $O(N)$-symmetric potential, with a coupling constant $\lambda$, in a generic curved spacetime. We analyze the renormalization process of the Semiclassical…

High Energy Physics - Theory · Physics 2021-06-03 Diana L. López Nacir , Julián Rovner

We exploit a recent computation of one graviton loop corrections to the self-mass [1] to quantum-correct the field equation for a massless, conformally coupled scalar on a de Sitter background. With the obvious choice for the finite part of…

General Relativity and Quantum Cosmology · Physics 2021-06-02 D. Glavan , S. P. Miao , T. Prokopec , R. P. Woodard

We argue that a scalar field in de Sitter spacetime should feel explicit thermal effects associated with its curvature. Starting from the Bunch-Davies vacuum and a scalar field with small mass compared to the de Sitter curvature, we use the…

High Energy Physics - Theory · Physics 2025-12-08 Nikos Irges , Antonis Kalogirou , Fotis Koutroulis

We explore the classical and quantum properties of a sterile scalar field coupled to $N$ copies of Dirac fermions in an external gravitational field. We find that the self-interaction scalar potential of a model that is consistent at the…

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

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…

General Relativity and Quantum Cosmology · Physics 2010-12-23 Donald Marolf , Ian A. Morrison

We show that there is only one physically acceptable vacuum state for quantum fields in de Sitter space-time which is left invariant under the action of the de Sitter-Lorentz group $SO(1,d)$ and supply its physical interpretation in terms…

High Energy Physics - Theory · Physics 2011-06-30 Aharon Casher , Pawel O. Mazur , Andrzej J. Staruszkiewicz

We compute the one- and two-loop corrected mode function of a massless minimally coupled scalar endowed with a quartic self-interaction in the locally de Sitter background of an inflating universe for a state which is released in…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-07 V. K. Onemli

We consider a massless, minimally coupled quantum scalar field theory with an asymmetric self interaction, $V (\phi) = \lambda\phi^4/4!+\beta\phi^3/3!$ ($\lambda >0$) in the inflationary de Sitter spacetime. The potential is bounded from…

High Energy Physics - Theory · Physics 2023-04-05 Sourav Bhattacharya , Nitin Joshi

We evaluate one loop quantum gravity corrections to the conformally coupled (CC) scalar self-mass-squared on a locally de Sitter background. In this paper we consider only the conformal-conformal interaction part of the self-mass-squared.…

General Relativity and Quantum Cosmology · Physics 2014-12-24 Sibel Boran , E. O. Kahya , Sohyun Park

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

Behaviour of a weekly self-interacting scalar field with a small mass in the de Sitter background is investigated using the stochastic approach (including the case of a double-well interaction potential). Existence of the de Sitter…

Astrophysics · Physics 2010-04-06 Alexei A. Starobinsky , Jun'ichi Yokoyama

Cosmological observables of the primordial universe are encoded in the late-time field-theoretic wavefunction. For shift-symmetric scalars in de Sitter, a good approximation for many inflationary models, the wavefunction must be purely real…

High Energy Physics - Theory · Physics 2026-03-11 Alexander Farren , Ciaran McCulloch , Enrico Pajer , Xi Tong

Loop corrections to primordial correlation functions are unavoidable due to the non-linear nature of gravity. Previous works have established a robust framework for computing the renormalised one-loop power spectra of scalar and tensor…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-13 Matteo Braglia , Sebastián Céspedes , Lucas Pinol