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Related papers: A pure Skyrme instanton

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It is shown that periodic instanton solutions may have bifurcations which qualitatively change the behaviour of the finite temperature transition rate. These bifurcations are studied numerically in a quantum mechanical model and in the…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. N. Kuznetsov , P. G. Tinyakov

The Skyrme model is a geometric field theory and a quasilinear modification of the Nonlinear Sigma Model (Wave Maps). In this paper we study the development of singularities for the equivariant Skyrme Model, in the strong-field limit, where…

Analysis of PDEs · Mathematics 2019-08-09 Michael McNulty

The Skyrme model of nuclear physics requires quantisation if it is to match observed nuclear properties. A simple technique is used to find the normal mode spectrum of the baryon number B=4 Skyrme soliton, representing the $\alpha$…

High Energy Physics - Theory · Physics 2009-10-30 Chris Barnes , Kim Baskerville , Neil Turok

Changes in the nucleon shape are investigated by letting the nucleon deform under the strong interactions with another nucleon. The parameters of the axial deformations are obtained by minimizing the static energy of the two nucleon system…

Nuclear Theory · Physics 2009-10-30 A. Rahimov , T. Okazaki , M. M. Musakhanov , F. C. Khanna

We show that the eight-dimensional instanton solution, which satisfies the self-duality equation $F \wedge F = *_8 F \wedge F$, realizes the static Skyrmion configuration in eight dimensions through the Atiyah-Manton construction. The…

High Energy Physics - Theory · Physics 2017-03-27 Atsushi Nakamula , Shin Sasaki , Koki Takesue

Based on the intanton approximation of Skyrmion and recent progresses on the holographic approach, we study baryon properties using Skyrmions generated from holographic instantons. First we employ Atiyah and Manton's early observation to…

High Energy Physics - Phenomenology · Physics 2011-11-23 Fen Zuo , Feng-Kun Guo , Tao Huang

We generalize the approach of Atiyah and Manton for generating Skyrmion configurations from instantons. The result is a series which parameters are found directly from the chiral angle equation. The series converge rapidly to the exact…

High Energy Physics - Phenomenology · Physics 2008-11-26 B. Dion , L. Marleau

Although it provides a relatively good picture of the nucleons, the Skyrme Model is unable to reproduce the small binding energy in nuclei. This suggests that Skyrme-like models that nearly saturate the Bogomol'nyi bound may be more…

High Energy Physics - Phenomenology · Physics 2015-06-16 Marc-Olivier Beaudoin , Luc Marleau

The Skyrme model is a low-energy effective field theory for QCD, where the baryons emerge as soliton solutions. It is, however, not so easy within the standard Skyrme model to reproduce the almost exact linear growth of the nuclear masses…

High Energy Physics - Theory · Physics 2014-11-20 C. Adam , J. Sanchez-Guillen , A. Wereszczynski

In the spirit of previous papers, but using more general field configurations, the non-linear O(3) model in (2+1)-D, modified by the addition of both a potential-like term and a Skyrme-like term, is considered. The instanton solutions are…

High Energy Physics - Theory · Physics 2009-08-28 R. J. Cova , W. J. Zakrzewski

A supersymmetric extension of the Skyrme model was obtained recently, which consists of only the Skyrme term in the Nambu-Goldstone (pion) sector complemented by the same number of quasi-Nambu-Goldstone bosons. Scherk-Schwarz dimensional…

High Energy Physics - Theory · Physics 2017-01-06 Sven Bjarke Gudnason , Muneto Nitta , Shin Sasaki

The minimal energy B=6 solution of the Skyrme model is a static soliton with $D_{4d}$ symmetry. The symmetries of the solution imply that the quantum numbers of the ground state are the same as those of the Lithium-6 nucleus. This…

High Energy Physics - Theory · Physics 2013-05-29 Nicholas S. Manton , Stephen W. Wood

The crystalline structure of nuclear matter is investigated in the standard Skyrme model with massive pions. A semi-analytic method is developed to determine local minima of the static energy functional with respect to variations of both…

High Energy Physics - Theory · Physics 2023-10-17 Derek Harland , Paul Leask , Martin Speight

In this article we study properties of isospin asymmetric nuclear matter in the generalized Skyrme model. This is achieved by canonically quantizing the isospin collective degrees of freedom of the recently found multi-wall skyrmion…

High Energy Physics - Theory · Physics 2024-03-12 Paul Leask , Miguel Huidobro , Andrzej Wereszczynski

A constructive realization of Skyrme's conjecture that an effective pion mass ``may arise as a self consistent quantal effect'' based on an ab initio quantum treatment of the Skyrme model is presented. In this quantum mechanical Skyrme…

Nuclear Theory · Physics 2008-11-26 A. Acus , E. Norvaisas , D. O. Riska

We study the structure of minimal-energy solutions of the baby Skyrme models for any topological charge n; the baby multi-skyrmions. Unlike in the (3+1)D nuclear Skyrme model, a potential term must be present in the (2+1)D Skyrme model to…

High Energy Physics - Theory · Physics 2009-10-31 Tom Weidig

We consider a family of four-dimensional non-linear sigma models based on an O(5) symmetric group, whose fields take their values on the 4-sphere S4. An SO(4)-subgroup of the model is gauged. The solutions of the model are characterised by…

High Energy Physics - Theory · Physics 2015-06-25 Y. Brihaye , V. Paturyan , B. M. A. G. Piette , D. H. Tchrakian

Some years ago, Atiyah and Manton described a method to construct approximate Skyrmion solutions from Yang-Mills instantons. Here we present a dynamical realization of this construction using domain walls in a five-dimensional gauge theory.…

High Energy Physics - Theory · Physics 2007-05-23 Minoru Eto , Muneto Nitta , Keisuke Ohashi , David Tong

We present the idea of using the holonomy along a line of a constrained instanton solution (an approximate solution of the Euclidean equations of motion subject to a constraint) of an $\rm SU(2)$ Yang-Mills-Higgs theory to approximate the…

High Energy Physics - Theory · Physics 2022-10-26 Alberto García Martín-Caro

A finite-energy static classical solution is obtained for standard Einstein gravity coupled to an $SO(3)\times SO(3)$ chiral model of scalars [a Skyrme model]. This nonsingular localized solution has nontrivial topology for both the…

General Relativity and Quantum Cosmology · Physics 2015-06-18 F. R. Klinkhamer