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Advection of a passive scalar $\theta$ in $d=2$ by a large-scale velocity field rapidly changing in time is considered. The Gaussian feature of the passive scalar statistics in the convective interval was discovered in \cite{95CFKLa}. Here…

chao-dyn · Physics 2008-02-03 E. Balkovsky , M. Chertkov , I. Kolokolov , V. Lebedev

In this paper we provide an action related to a certain sector of general relativity where the algebra of Hamiltonian constraints forms a first class system. This action is a Dirac-consistent stand-alone action with two physical degrees of…

General Relativity and Quantum Cosmology · Physics 2012-02-20 Eyo Ita

We systematically construct ghost-free scalar-tensor theories whose Lagrangian includes up to third-order derivatives of the scalar field. Using a spatially covariant action written in terms of the ADM variables, we impose degeneracy and…

General Relativity and Quantum Cosmology · Physics 2026-01-15 Masaki Michiwaki , Tsutomu Kobayashi

We examine models in which the accelerated expansion of the universe is driven by a scalar field rolling near an inflection point in the potential. For the simplest such models, in which the potential is of the form V(\phi) = V_0 + V_3…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-30 Hui-Yiing Chang , Robert J. Scherrer

We investigate the scalar field dynamics of models with nonminimally coupled scalar fields in the presence of the Gauss-Bonnet term and derive the structure of the effective potential and conditions for stable de Sitter solutions in…

General Relativity and Quantum Cosmology · Physics 2019-10-21 Ekaterina O. Pozdeeva , Mohammad Sami , Alexey V. Toporensky , Sergey Yu. Vernov

In this work we present a generalized Brans-Dicke lagrangian including a non-minimally coupled Gauss-Bonnet term without imposing the vanishing torsion condition. In the resulting field equations, the torsion is closely related to the…

General Relativity and Quantum Cosmology · Physics 2018-04-19 Antonella Cid , Fernando Izaurieta , Genly Leon , Perla Medina , Daniela Narbona

The de Sitter conjecture yields a severe bound on possible vacua for a consistent quantum gravity. We extend the de Sitter conjecture by taking into account dynamics of the scalar field. We then apply such an extended de Sitter conjecture…

High Energy Physics - Theory · Physics 2025-12-30 Muneto Nitta , Kunihito Uzawa

Starting from the well established form of the Dirac action coupled to the electromagnetic and torsion field we find that there is some additional softly broken local symmetry associated with torsion. This symmetry fixes the form of…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. S. Belyaev , Ilya L. Shapiro

Evolution of primordial fluctuations in a Brans-Dicke type scalar-tensor gravity theory is comprehensively investigated. The harmonic attractor model, in which the scalar field has its harmonic effective potential in the Einstein conformal…

Astrophysics · Physics 2009-11-07 Ryo Nagata , Takeshi Chiba , Naoshi Sugiyama

In this web note, we reply to a recent paper, gr-qc/0404126, confirming a previous work of ours in which a cosmological bouncing phase was shown to have the ability of modifying the spectrum of primordial perturbations (PRD 68, 103517…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jerome Martin , Patrick Peter

We prove that the real four-dimensional Euclidean noncommutative \phi^4-model is renormalisable to all orders in perturbation theory. Compared with the commutative case, the bare action of relevant and marginal couplings contains…

High Energy Physics - Theory · Physics 2008-11-26 Harald Grosse , Raimar Wulkenhaar

In the present work, the observational consequences of a subclass of of the Horndeski theory have been investigated. In this theory a scalar field (tachyon field) non-minimally coupled to the Gauss-Bonnet invariant through an arbitrary…

General Relativity and Quantum Cosmology · Physics 2019-09-11 S. Bellucci , A. Banijamali , B. Fazlpour , M. Solbi

In inflationary scenarios with more than one scalar field, inflation may proceed even if each of the individual fields has a potential too steep for that field to sustain inflation on its own. We show that scalar fields with exponential…

Astrophysics · Physics 2010-01-06 Andrew R Liddle , Anupam Mazumdar , Franz E Schunck

One way of describing gauge theories in physics is to assign a vector space $V_{x}$ to each space time point $x.$ For each $x$ the field $\psi$ takes values $\psi(x)$ in $V_{x}.$ The freedom to choose a basis in each $V_{x}$ introduces…

Quantum Physics · Physics 2011-04-20 Paul Benioff

We discuss the consistency of a recently proposed class of theories described by an arbitrary function of the Ricci scalar, the trace of the energy-momentum tensor and the contraction of the Ricci tensor with the energy-momentum tensor. We…

High Energy Physics - Theory · Physics 2015-05-15 Ismael Ayuso , Jose Beltran Jimenez , Alvaro de la Cruz Dombriz

We consider the massless minimally coupled scalar field in the de Sitter ambient space formalism as a gauge potential or connection field. We construct the scalar gauge theory by helping an arbitrary constant five-vector field $B^\alpha$…

High Energy Physics - Theory · Physics 2022-09-28 M. V. Takook

We study the renormalized energy-momentum tensor of cosmological scalar fluctuations during the slow-rollover regime for power-law inflation and find that it is characterized by a negative energy density at the leading order, with the same…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. Marozzi

We consider the model of modified gravity with dynamical torsion. This model was previously found to have promising stability properties about various backgrounds. Here we study the stability of linear perturbations about the…

High Energy Physics - Theory · Physics 2017-11-06 V. Nikiforova

We study the Casimir effect in the presence of an extra dimension compactified on a circle of radius R ($M^4\times S^1$ spacetime). Our starting point is the Kaluza Klein decomposition of the 5D Maxwell action into a massless sector…

High Energy Physics - Theory · Physics 2011-04-28 Ariel Edery , Valery Marachevsky

The Einstein-Cartan-Saa theory of torsion modifies the spacetime volume element so that it is compatible with the connection. The condition of connection compatibility gives constraints on torsion, which are also necessary for the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Nikodem J. Poplawski