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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

In the mathematically rigorous analysis of semiclassical Einstein's equations, the renormalisation of the stress-energy tensor plays a crucial role. We address such a topic in the case of a scalar field with both arbitrary mass and coupling…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Claudio Dappiaggi , Klaus Fredenhagen , Nicola Pinamonti

Consistency of the unconventional view of de Sitter space as a quantum theory of gravity with a finite number of degrees of freedom requires that Coleman-De Luccia tunneling rates to vacua with negative cosmological constant should be…

High Energy Physics - Theory · Physics 2016-07-07 José R. Espinosa , Jean-François Fortin , Maxime Trépanier

In a recent paper [1], it has been shown that negative norm states are indispensable for a fully covariant quantization of the minimally coupled scalar field in de Sitter space. Their presence, while leaving unchanged the physical content…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mohammad Vahid Takook

We analyze the vacuum fluctuations and the stress-energy tensor of a scalar field of mass $M$ in a conical spacetime, where the topological singularity at the apex requires boundary conditions for the field equation. The necessity of…

High Energy Physics - Theory · Physics 2025-12-05 João Paulo M. Pitelli , Ricardo A. Mosna , Victor Hugo M. Ramos , João C. A. Barata

We study the backreaction of superhorizon fluctuations of a light quantum scalar field on a classical de Sitter geometry by means of the Wilsonian renormalisation group. This allows us to treat the gravitationally amplified fluctuations in…

High Energy Physics - Theory · Physics 2019-01-16 Gabriel Moreau , Julien Serreau

A scalar field in four-dimensional deSitter spacetime (dS_4) has quasinormal modes which are singular on the past horizon of the south pole and decay exponentially towards the future. These are found to lie in two complex highest-weight…

High Energy Physics - Theory · Physics 2015-03-19 Daniel L. Jafferis , Alexandru Lupsasca , Vyacheslav Lysov , Gim Seng Ng , Andrew Strominger

We investigate the Hadamard function and the vacuum expectation value of the current density for a charged massive scalar field on a slice of anti-de Sitter (AdS) space described in Poincar\'{e} coordinates with toroidally compact…

High Energy Physics - Theory · Physics 2014-12-31 E. R. Bezerra de Mello , A. A. Saharian , V. Vardanyan

In the framework of finite temperature conformal scalar field theory on de Sitter space-time the linearized Einstein equations for the renormalized stress tensor are exactly solved. In this theory quantum field fluctuations are concentrated…

General Relativity and Quantum Cosmology · Physics 2010-04-06 D. V. Fursaev , G. Miele

Massless minimally coupled quantum scalar field with an asymmetric self interaction, $V(\phi)=\lambda \phi^4/4!+ \beta \phi^3/3! $ (with $\lambda >0$) is considered in the $(3+1)$-dimensional inflationary de Sitter spacetime. This potential…

High Energy Physics - Theory · Physics 2022-09-21 Sourav Bhattacharya

A plausible physical interpretation of the renormalizability condition is given. It is shown that renormalizable quantum field theories describe such systems wherein the tendency to collapse associated with vacuum fluctuations of attractive…

High Energy Physics - Theory · Physics 2007-05-23 B. P. Kosyakov

We revisit the propagation of classical scalar fields in a spacetime which is asymptotically anti-de Sitter. The lack of global hyperbolicity of the underlying background gives rise to an ambiguity in the dynamical evolution of solutions of…

General Relativity and Quantum Cosmology · Physics 2022-04-07 Christyan C. de Oliveira , Ricardo A. Mosna , João Paulo M. Pitelli

We consider a massive scalar field living on the recently found exact quantum space-time corresponding to vacuum spherically symmetric loop quantum gravity. The discreteness of the quantum space time naturally regularizes the scalar field,…

General Relativity and Quantum Cosmology · Physics 2015-12-16 Nahuel Barrios , Rodolfo Gambini , Jorge Pullin

Recent observations of the luminosity-red shift relation of distant type Ia supernovae established the fact that the expansion of the universe is accelerated. This is interpreted by saying that there exists some kind of agent (called dark…

General Relativity and Quantum Cosmology · Physics 2009-11-23 Sergio L. Cacciatori

The renormalized mean value of the quantum Lagrangian and the corresponding components of the Energy-Momentum tensor for massive spinor fields coupled to an arbitrary gravitational field configuration having cylindrical symmetry are…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Owen Pavel Fernandez Piedra , Alejandro Cabo Montes de Oca

A systematic treatment of O(a)-improvement in lattice theories with static quarks is presented. The Schr\"odinger functional is discussed and a renormalization condition for the static axial current in the SF-scheme is introduced. Its…

High Energy Physics - Lattice · Physics 2015-06-25 Martin Kurth , Rainer Sommer

In this work we investigate the semi-classical backreaction for a quantised conformal scalar field and classical vacuum energy. In contrast to the usual approximation of a closed system, our analysis includes an environmental sector such…

High Energy Physics - Theory · Physics 2017-11-21 Tommi Markkanen

Within the context of modified gravity and dark energy scenarios of the accelerating universe, we study the stability of de Sitter space with respect to inhomogeneous perturbations using a gauge-independent formalism. In modified gravity…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Valerio Faraoni

It is challenging to construct explicit and controllable models that realize de Sitter solutions in string compactifications. This difficulty is the main motivation for the Refined de Sitter Conjecture and the Trans-Planckian Censorship…

High Energy Physics - Theory · Physics 2021-08-18 Ida M. Rasulian , Mahdi Torabian , Liliana Velasco-Sevilla

In Causal Perturbation Theory the process of renormalization is precisely equivalent to the extension of time ordered distributions to coincident points. This is achieved by a modified Taylor subtraction on the corresponding test functions.…

High Energy Physics - Theory · Physics 2009-09-25 Dirk Prange