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We consider a massless, minimally coupled scalar with a quartic self-interaction which is released in Bunch-Davies vacuum in locally de Sitter background of an inflating universe. It was shown, in this system, that quantum effects can…

General Relativity and Quantum Cosmology · Physics 2008-11-26 E. O. Kahya , V. K. Onemli

A derivation of the one-loop effective Lagrangian in the self-interacting $O(N)$ scalar theory, in slowly varying gravitational fields, is presented (using $\zeta$-regularization and heat-kernel techniques). The result is given in terms of…

High Energy Physics - Theory · Physics 2009-09-17 Emilio Elizalde , Klaus Kirsten , Sergei Odintsov

We consider the Euclidean vacuum for linearized gravity on the global de Sitter space, obtained from the Euclidean Green's function on the 4-sphere. We use the notion of Calder\'on projectors to recover a quantum state for the Lorentzian…

Mathematical Physics · Physics 2026-03-17 Christian Gérard , Michał Wrochna

A kinetic theory of vacuum particle creation under the action of an inertial mechanism is constructed within a nonpertrubative dynamical approach. At the semi-phenomenological level, the inertial mechanism corresponds to quantum field…

High Energy Physics - Phenomenology · Physics 2008-12-18 A. V. Filatov , A. V. Prozorkevich , S. A. Smolyansky , V. D. Toneev

The infrared dynamics of a light, minimally coupled scalar field in de Sitter spacetime with Ricci curvature $R=12H$, averaged over horizon sized regions of physical volume $V_H=\frac{4\pi}{3}\left(\frac{1}{H}\right)^3$, can be interpreted…

General Relativity and Quantum Cosmology · Physics 2017-01-06 Gerasimos Rigopoulos

The interaction between singular and regular fields is considered for Lorentz-invariant scalar and vector wave equations. The singular field is generated by a Dirac source term. Its dynamics are deduced from the total field Lagrangian. At…

Classical Physics · Physics 2007-05-23 Michael Mazilu

We discuss D-dimensional scalar field interacting with a scale invariant random metric which is either a Gaussian field or a square of a Gaussian field. The metric depends on d-dimensional coordinates (where d is less than D). By a…

High Energy Physics - Theory · Physics 2009-11-07 Z. Haba

Based on the hyperboloidal framework, we research the dynamical process of charged de Sitter black holes scattered by a charged scalar field. From the linear perturbation analysis, with the coupling strength within a critical interval, the…

General Relativity and Quantum Cosmology · Physics 2025-02-17 Zhen-Tao He , Qian Chen , Yu Tian , Cheng-Yong Zhang , Hongbao Zhang

The dynamics of homogeneous Robertson--Walker cosmological models with a self-interacting scalar field source is examined here in full generality, requiring only the scalar field potential to be bounded from below and divergent when the…

General Relativity and Quantum Cosmology · Physics 2009-01-16 Roberto Giambó , Fabio Giannoni , Giulio Magli

We perform a dynamical system analysis of a cosmological model with linear dependence between the vacuum density and the Hubble parameter, with constant-rate creation of dark matter. We show that the de Sitter spacetime is an asymptotically…

General Relativity and Quantum Cosmology · Physics 2018-09-25 S. Carneiro , H. A. Borges

We explore the question of how to probe the vacuum structure of space time by a massive scalar field through interaction with background gravitons. Using the $\Gamma$-regularization for the in-/out-state formalism, we find the effective…

High Energy Physics - Theory · Physics 2015-05-27 Sang Pyo Kim

We consider a field theoretical model where a SU(2) fermion doublet, subjected to non-Abelian gauge interactions, is also coupled to a complex scalar field doublet via a Yukawa and an irrelevant Wilson-like term. Despite the presence of…

In de Sitter space, scale invariant fluctuations give rise to infrared logarithmic corrections to physical quantities, which eventually spoil perturbation theories. For models without derivative interactions, it has been known that the…

High Energy Physics - Theory · Physics 2019-07-31 Hiroyuki Kitamoto

We have studied the induced one-loop energy-momentum tensor of a massive complex scalar field within the framework of nonperturbative quantum electrodynamics (QED) with a uniform electric field background on the Poincar\'e patch of the…

High Energy Physics - Theory · Physics 2021-05-26 Marzieh Akbari Ahmadmahmoudi , Ehsan Bavarsad

We study the two-dimensional version of a quartic self-interacting quantum scalar field on a curved and noncommutative space (Snyder-de Sitter). We show that the model is renormalizable at the one-loop level and compute the beta functions…

High Energy Physics - Theory · Physics 2022-07-20 S. A. Franchino-Viñas , S. Mignemi

The dynamical consequences of a bimetric scalar-tensor theory of gravity with a dynamical light speed are investigated in a cosmological setting. The model consists of a minimally-coupled self-gravitating scalar field coupled to ordinary…

General Relativity and Quantum Cosmology · Physics 2009-11-07 M. A. Clayton , J. W. Moffat

We reformulate free equations of motion for massive spin 0 and spin 1/2 matter fields in 2+1 dimensional anti-de Sitter space in the form of some covariant constantness conditions. The infinite-dimensional representation of the anti-de…

High Energy Physics - Theory · Physics 2009-10-30 A. V. Barabanschikov , S. F. Prokushkin , M. A. Vasiliev

We show how the equations for the scalar field (including the massive, massless, minimally and conformally coupled cases) on de Sitter and Anti-de Sitter spaces can be obtained from both the SO$(2,4)$-invariant equation $\square \phi = 0$…

General Relativity and Quantum Cosmology · Physics 2020-08-11 E. Huguet , J. Queva , J. Renaud

We investigate free non-local massless and massive scalar field on deSitter (dS) space-time. We compute the propagator for the non-local scalar field for the corresponding theories on flat and deSitter space-times. It is seen that for the…

High Energy Physics - Theory · Physics 2019-02-27 Gaurav Narain , Nirmalya Kajuri

We calculate the effective mass of gravitational perturbations induced by the interaction of the classical gravitational field with quantum matter in the background of the Poincar\'e patch of de Sitter space. Using the Schwinger-Keldysh…

High Energy Physics - Theory · Physics 2023-11-21 Damir Sadekov