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Baby Skyrmions are topological solitons in a (2+1)-dimensional field theory which resembles the Skyrme model in important respects. We apply some of the techniques and approximations commonly used in discussions of the Skyrme model to the…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. M. A. G. Piette , B. J. Schroers , W. J. Zakrzewski

One of the most interesting open problems concerning the Skyrme model of nuclear physics is the regularity of its solutions. In this article, we study 2+1 dimensional equivariant Skyrme maps, for which we prove, using the method of…

Analysis of PDEs · Mathematics 2011-06-21 Dan-Andrei Geba , Daniel da Silva

The Two Higgs Doublet Model invariant under the gauge group SU(2)xU(1) is known to have six additional global discrete or continuous symmetries of its scalar sector. We have discovered regions of parameter space of the model which are basis…

High Energy Physics - Phenomenology · Physics 2023-07-18 Pedro M. Ferreira , Bohdan Grzadkowski , Odd Magne Ogreid , Per Osland

Magnetic skyrmions can be considered as topologically protected localized vortex-like spin textures. Due to their stability, their small size, and the possibility to move them by low electric currents they are promising candidates for…

Mesoscale and Nanoscale Physics · Physics 2017-07-05 Martin Stier , Wolfgang Häusler , Thore Posske , Gregor Gurski , Michael Thorwart

We introduce global model categories as a general framework to capture several phenomena in global equivariant homotopy theory. We then construct genuine stabilizations of these, generalizing the usual passage from unstable to stable global…

Algebraic Topology · Mathematics 2024-09-06 Tobias Lenz , Michael Stahlhauer

Recent results suggest that multi-Skyrmions stabilized by omega mesons have very similar properties to those stabilized by the Skyrme term. In this paper we present the results of a detailed numerical investigation of a (2+1)-dimensional…

High Energy Physics - Theory · Physics 2009-07-09 David Foster , Paul Sutcliffe

We prove a new global stability estimate for the Gel'fand-Calder\'on inverse problem on a two-dimensional bounded domain or, more precisely, the inverse boundary value problem for the equation $-\Delta \psi + v\, \psi = 0$ on $D$, where $v$…

Analysis of PDEs · Mathematics 2014-02-07 Matteo Santacesaria

We show that in the SU(2) Georgi-Glashow model, 't Hooft-Polyakov monopoles are produced by a classical instability in magnetic fields above the Ambjorn-Olesen critical field, which coincides approximately with the field at which Schwinger…

High Energy Physics - Theory · Physics 2020-03-11 David L. -J. Ho , Arttu Rajantie

The stable existence of a six-$\alpha$ linear structure in highly excited states of $^{24}$Mg is studied based on a systematic Cranked Hartree-Fock calculation with various Skyrme-type interactions. Its stability is examined by allowing the…

We propose a two-dimensional model for the organization of stabilized microtubules driven by molecular motors in an unconfined geometry. In this model two kinds of dynamics are competing. The first one is purely diffusive, with an…

Statistical Mechanics · Physics 2019-08-17 B. Bassetti , M. Cosentino Lagomarsino , P. Jona

We study spin/fermion ladder models with exact multipole phases, which are traditional spin phases formed by multipole moments. These phases feature non-trivial order with zero magnetization. The multipole models have dimer local conserved…

Strongly Correlated Electrons · Physics 2025-10-06 Jianlong Fu

We show that a pair of field theory monodromies in which the shift symmetry is broken by small, well motivated deformations, naturally incorporates a mechanism for cancelling off radiative corrections to the cosmological constant. The…

High Energy Physics - Theory · Physics 2019-02-20 Antonio Padilla

Mackey-Glass equation arises in the leukemia model. We generalize this equation to include fractional-order derivatives in two directions. The first generalization contains one whereas the second contains two fractional derivatives. Such…

Dynamical Systems · Mathematics 2024-11-06 Deepa Gupta , Sachin Bhalekar

We construct a model in which stable magnetic monopoles have magnetic charges that are identical to the electric charges on leptons and quarks and the colored monopoles are confined by strings in color singlets.

High Energy Physics - Phenomenology · Physics 2009-10-28 Tanmay Vachaspati

In the present work, sufficient conditions for global stabilization of nonlinear uncertain systems by means of discrete-delay static output feedback are presented. Illustrating examples show the efficiency of the proposed control strategy.

Optimization and Control · Mathematics 2008-02-29 Iasson Karafyllis

We have shown the existence of self-dual solitons in a type of generalized Chern-Simons baby Skyrme model where the generalized function (depending only in the Skyrme field) is coupled to the sigma-model term. The consistent implementation…

High Energy Physics - Theory · Physics 2019-09-04 Rodolfo Casana , André C. Santos , Claudio F. Farias , Alexsandro L. Mota

In this paper we analyze the gravitational field of a global monopole in the context of $f(R)$ gravity. More precisely, we show that the field equations obtained are expressed in terms of $F(R)=\frac{df(R)}{dR}$. Since we are dealing with a…

General Relativity and Quantum Cosmology · Physics 2012-03-22 T. R. P. Caramês , E. R. Bezerra de Mello , M. E. X. Guimarães

We generalize the scalar tensor bigravity models to the non-minimal kinetic coupling scalar tensor bigravity models with two scalar fields whose kinetic terms are non-minimally coupled to two Einstein tensors constructed by two metrics. We…

General Relativity and Quantum Cosmology · Physics 2015-08-06 F. Darabi , M. Mousavi

We globally classify two-component evolution equations, with homogeneous diagonal linear part, admitting infinitely many approximate symmetries. Important ingredients are the symbolic calculus of Gel'fand and Dikii, the Skolem-Mahler-Lech…

Exactly Solvable and Integrable Systems · Physics 2008-08-11 Peter H. van der Kamp

We discuss how internal rotation with fixed angular frequency can affect the solitons in the baby Skyrme model in which the global O(3) symmetry is broken to the SO(2). Two particular choices of the potential term are considered, the "old"…

High Energy Physics - Theory · Physics 2013-10-30 A. Halavanau , Yakov Shnir