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We investigate systems of real scalar fields in bidimensional spacetime, dealing with potentials that are small modifications of potentials that admit supersymmetric extensions. The modifications are controlled by a real parameter, which…

High Energy Physics - Theory · Physics 2008-11-26 C. A. G. Almeida , D. Bazeia , L. Losano

We study the Galileon scalar field model arising as a decoupling limit of the Dvali-Gababdaze-Porrati (DGP) construction for the late time acceleration of the universe. The model has one extra Galileon correction term over and above the…

Cosmology and Nongalactic Astrophysics · Physics 2014-06-11 Md. Wali Hossain , Anjan A. Sen

The cosmological consequences of a slow rolling scalar field with constant kinetic term in analogy to the vertical movement of a skydiver after reaching terminal velocity are investigated. It is shown that the terminal scalar field…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-10 F. E. M. Costa

In this work, we solved the scalar and tensor perturbation equations numerically and using the improved uniform approximation method together with the third-order phase-integral method, for the $\alpha$-attractor inflationary model. This…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-13 Jordan Zambrano , Miguel Agama , Marcos Garzón , Werner Bramer-Escamilla , Clara Rojas , Teófilo Vargas

Quintessence is a canonical scalar field introduced to explain the late-time cosmic acceleration. The cosmological dynamics of quintessence is reviewed, paying particular attention to the evolution of the dark energy equation of state w.…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Shinji Tsujikawa

We establish a semiclassical trace formula in a general framework of microhyperbolic hermitian systems of $h$-pseudodifferential operators, and apply it to the study of the spectral shift function associated to a pair of selfadjoint…

Mathematical Physics · Physics 2017-02-28 Marouane Assal , Mouez Dimassi , Setsuro Fujiié

The traditional way of estimating the gravitational field from observed motions of test objects is based on the virial relation between their kinetic and potential energy. We find a more efficient method. It is based on the natural…

Astrophysics · Physics 2009-11-10 Andrei M. Beloborodov , Yuri levin

The discovery of cosmic acceleration motivated extensive studies of dynamical dark energy and modified gravity models. Of particular interest are the scalar-tensor theories, with a scalar field dark energy non-minimally coupled to matter.…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-14 Seyed Hamidreza Mirpoorian , Zhuangfei Wang , Levon Pogosian

We establish trace inequalities for Riesz potentials on Herz-type spaces and discuss the optimality of conditions imposed on specific parameters. We also present some applications in the form of Sobolev-type inequalities, including the…

Functional Analysis · Mathematics 2024-03-12 M. Ashraf Bhat , G. Sankara Raju Kosuru

We use form methods to define suitable realisations of the Laplacian on a domain $\Omega$ with Wentzell boundary conditions, i.e. such that $\partial_{\mathrm{n}}u + \beta u + \Delta u = 0$ holds in a suitable sense on the boundary of…

Analysis of PDEs · Mathematics 2025-12-19 Wolfgang Arendt , Manfred Sauter

Conditionspectrum measures the computational stability of solving a linear system. In this paper, ten theorems involving {\epsilon}-conditionspectrum are presented. All these theorems generalize a well known eigenvalue theorem and…

Spectral Theory · Mathematics 2011-09-14 Sukumar Daniel

In this paper we try to suggest a possible novel method to determine some selected even zonal harmonics J_l of the Earth's geopotential. Time series many years long of suitably linearly combined residuals of some Keplerian orbital elements…

Geophysics · Physics 2013-11-12 Lorenzo Iorio

We investigate the behavior of the scalar field in $f (R, T )$ gravity (Harko et al., Phys. Rev. D 84, 024020, 2011) inside the structure of a flat FRW cosmological model, where $R$ and $T$ have their usual meaning. The deterministic…

General Relativity and Quantum Cosmology · Physics 2021-08-03 Vinod Kumar Bhardwaj , Anirudh Pradhan , Archana Dixit

Aims. We investigated the gravitational effects of a scalar field within scalar-tensor gravity as an alternative to dark matter. Motivated by chameleon, symmetron and f(R)-gravity models, we studied a phenomenological scenario where the…

Cosmology and Nongalactic Astrophysics · Physics 2014-01-24 David F. Mota , Vincenzo Salzano , Salvatore Capozziello , Nicola R. Napolitano

We study the cosmological role of a Tracking Field $\phi$ in Extended Quintessence scenarios (TEQ), where the dynamical vacuum energy driving the acceleration of the universe today is coupled with the Ricci scalar, $R$, with a term of the…

Astrophysics · Physics 2009-10-31 Carlo Baccigalupi , Sabino Matarrese , Francesca Perrotta

We present Perl Algorithm to Compute continuum and Equivalent Widths (pacce). We describe the methods used in the computations and the requirements for its usage. We compare the measurements made with pacce and "manual" ones made using iraf…

Instrumentation and Methods for Astrophysics · Physics 2015-05-28 Rogério Riffel , Tibério Borges Vale

A new fitting method is explored for momentum reconstruction of tracks in a constant magnetic field for a silicon-strip tracker. Substantial increases of momentum resolution respect to standard fit is obtained. The key point is the use of a…

Instrumentation and Detectors · Physics 2018-12-11 Gregorio Landi , Giovanni E. Landi

We explore the inflationary phase of a scalar field with a kinetic term non-minimally coupled to gravity. We find that one of the slow-roll conditions is naturally consequence of the equation of motion of the scalar field. Thus, slow-roll…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-16 Amir Ghalee

We propose an object tracking method, SFTrack++, that smoothly learns to preserve the tracked object consistency over space and time dimensions by taking a spectral clustering approach over the graph of pixels from the video, using a fast…

Computer Vision and Pattern Recognition · Computer Science 2021-11-05 Elena Burceanu

The orbit space for a scalar field in a complex square matrix representation obtains a Minkowski space structure from the Cauchy-Schwarz inequality. It can be used to find vacuum stability conditions and minima of the scalar potential. The…

High Energy Physics - Phenomenology · Physics 2022-02-10 Kristjan Kannike