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In this paper, we introduce a direct method of moving spheres for the nonlocal fractional Laplacian $(-\triangle)^{\alpha/2}$ for $0<\alpha<2$, in which a key ingredient is the narrow region maximum principle. As immediate applications, we…

Analysis of PDEs · Mathematics 2016-04-19 Wenxiong Chen , Yan Li , Ruobing Zhang

Irreversible processes of one-dimensional quantum perfect Lorentz gas is studied on the basis of the fundamental laws of physics in terms of the complex spectral analysis associated with the resonance state of the Liouville-von Neumann…

Statistical Mechanics · Physics 2015-07-09 Kazunari Hashimoto , Kazuki Kanki , Satoshi Tanaka , Tomio Petrosky

We analyze the expected arrival time spectrum of supernova neutrinos using simulated luminosity and compute the expected number of events in future detectors such as the DUNE Far Detector and Hyper-Kamiokande. We develop a general method…

High Energy Physics - Phenomenology · Physics 2023-06-06 C. A. Moura , L. Quintino , F. Rossi-Torres

We propose a novel numerical method for solving multi-dimensional, special relativistic Boltzmann equations for neutrinos coupled to hydrodynamics equations. It is meant to be applied to simulations of core-collapse supernovae. We handle…

High Energy Astrophysical Phenomena · Physics 2015-06-22 Hiroki Nagakura , Kohsuke Sumiyoshi , Shoichi Yamada

A new numerical scheme to solve the Einstein field equations based upon the generalized harmonic decomposition of the Ricci tensor is introduced. The source functions driving the wave equations that define generalized harmonic coordinates…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Frans Pretorius

We construct a Schwarzschild-type exact external solution for a theory of gravity admitting local Galilean invariance. In order to realize the Galilean invariance we need to adopt a five-dimensional manifold. The solution for the…

General Relativity and Quantum Cosmology · Physics 2014-09-09 R. R. Cuzinatto , P. J. Pompeia , M. de Montigny , F. C. Khanna

We borrow the general idea of renormalization-group equations (RGEs) to understand how neutrino masses and flavor mixing parameters evolve when neutrinos propagate in a medium, highlighting a meaningful possibility that the genuine flavor…

High Energy Physics - Phenomenology · Physics 2018-05-07 Zhi-zhong Xing , Shun Zhou , Ye-Ling Zhou

We propose a new model with the Majorana neutrino masses generated at two-loop level, in which the lepton number violation (LNV) processes, such as neutrinoless double beta decays, are mainly induced by the dimension-7 LNV effective…

High Energy Physics - Phenomenology · Physics 2015-07-14 Chao-Qiang Geng , Da Huang , Lu-Hsing Tsai , Qing Wang

A model of neutrino oscillations is presented that has only three degrees of freedom and is consistent with existing data. The model is a subset of the renormalizable sector of the Standard-Model Extension (SME), and it offers an…

High Energy Physics - Phenomenology · Physics 2008-11-26 Teppei Katori , Alan Kostelecky , Rex Tayloe

We discuss and implement a spectral method approach to computing stationary and axisymmetric black hole solutions and their properties in modified theories of gravity. The resulting code is written in the Julia language and is transparent…

General Relativity and Quantum Cosmology · Physics 2023-07-12 Pedro G. S. Fernandes , David J. Mulryne

In the DGP model, the ``self-accelerating'' solution is plagued by a ghost instability, which makes the solution untenable. This fact as well as all interesting departures from GR are fully captured by a four-dimensional effective…

High Energy Physics - Theory · Physics 2011-03-02 Alberto Nicolis , Riccardo Rattazzi , Enrico Trincherini

We prove a comprehensive version of the Ruelle-Perron-Frobenius Theorem with explicit estimates of the spectral radius of the Ruelle transfer operator and various other quantities related to spectral properties of this operator. The novelty…

Dynamical Systems · Mathematics 2019-08-15 Luchezar Stoyanov

We introduce a method that allows the evaluation of general expressions for the spectral functions of the one-dimensional Hubbard model for all values of the on-site electronic repulsion U. The spectral weights are expressed in terms of…

Strongly Correlated Electrons · Physics 2007-05-23 J. M. P. Carmelo , K. Penc

In this paper, we apply a novel approach based on physics-informed neural networks to the computation of quasinormal modes of black hole solutions in modified gravity. In particular, we focus on the case of Einstein-scalar-Gauss-Bonnet…

General Relativity and Quantum Cosmology · Physics 2024-07-30 Raimon Luna , Daniela D. Doneva , José A. Font , Jr-Hua Lien , Stoytcho S. Yazadjiev

We study slowly-rotating neutron stars in ghost-free massive bigravity. This theory modifies General Relativity by introducing a second, auxiliary but dynamical tensor field that couples to matter through the physical metric tensor through…

General Relativity and Quantum Cosmology · Physics 2018-02-14 Andrew Sullivan , Nicolas Yunes

Explicit expressions for the differential and total rates and emissivities of neutrino pairs from the photo-neutrino process $e^\pm + \gamma \to e^\pm + \nu + \bar\nu$ in hot and dense matter are derived. Full information about the emitted…

Astrophysics · Physics 2009-11-10 Sharada Iyer Dutta , Sasa Ratkovic , Madappa Prakash

Within low scale theories traditional see-saw and scalar triplet mechanisms, for neutrino mass suppression, do not work out anymore and for realistic model building some new ideas are needed. In this paper we suggest mechanism, different…

High Energy Physics - Phenomenology · Physics 2016-09-06 Zurab Tavartkiladze

We show that peculiar velocities of Type Ia supernovae can be used to derive constraints on the sum of neutrino masses, $\Sigma m_{\nu}$, and dark energy equation of state, $w = w_0+w_a(1-a)$, from measurements of the magnitude-redshift…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-02 Aniket Agrawal , Teppei Okumura , Toshifumi Futamase

As is well-known, Newton's gravitational theory can be formulated as a four-dimensional space-time theory and follows as singular limit from Einstein's theory, if the velocity of light tends to the infinity. Here 'singular' stands for the…

General Relativity and Quantum Cosmology · Physics 2016-08-31 G. Dautcourt

We investigate the generalized Gross-Neveu model using the discretized light cone quantization and we find that the vacuum of the bare theory is {\sl non} trivial in presence of vectorial current coupling when the simplest and most natural…

High Energy Physics - Theory · Physics 2015-06-26 Igor Pesando
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