## New papers on Skyrmions Thu Jan 13 03:50:36 PST 2011 |

*Journal of Computational Physics**Journal of High Energy Physics**Spires**Classical and Quantum Gravity**Most Recent hep-th hep-ph gr-qc**Non-Linearity (Journal IoP)**Web of Science*- Reviews of Modern Physics Online

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Title: Perfect fluids from high power sigma-models

Authors: Radu Slobodeanu

Categories: math.DG astro-ph.CO hep-th

http://arxiv.org/abs/1006.1133

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Title: Skyrmions in a truncated BPS theory

Authors: Paul Sutcliffe

Categories: hep-th

Comments: 12 pages, 1 figure

Report-no: DCPT-11/01

http://arxiv.org/abs/1101.2402, 15kb

Recently, it has been shown that (4+1)-dimensional Yang-Mills
theory may be written as a (3+1)-dimensional BPS Skyrme model, in which
the Skyrme field is coupled to an infinite tower of vector mesons.
Truncating this tower to a single vector meson yields an extension of
the standard Skyrme model to a theory of pions coupled to the rho
meson, with the significant simplification that no additional free
parameters are introduced. The present paper is concerned with this
truncated theory and results are presented for Skyrmions with baryon
numbers one to four. The approach involves the use of an extended
version of the Atiyah-Manton construction, in which the Skyrme field is
approximated by the holonomy of a Yang-Mills instanton. It is found
that the coupling to the rho meson significantly reduces Skyrmion
binding energies, to produce an improved comparison with the
experimental data on nuclei. A truncation that includes both a vector
and an axial vector meson is also investigated, providing a model of
pions, the rho meson and the a1 meson. Binding energies are further
reduced by the inclusion of this additional meson, shifting the
Skyrmion energies a little closer to those of nuclei. Fixing the energy
unit by equating the energy of the baryon number four Skyrmion to the
He-4 mass, yields masses for all lower baryon numbers that are within
20 MeV of the experimental values, which is an error that is four times
smaller than in the standard Skyrme model.

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(Submitted on 12 Nov 2010)

Abstract: The goal of the present paper is three-fold. First is to clarify the connection between the dominant energy condition and hyperbolicity properties of Lagrangian field theories. Second is to provide further analysis on the breakdown of hyperbolicity for the Skyrme model, sharpening the results of Crutchfield and Bell and comparing against a result of Gibbons, and provide a local well-posedness result for the dynamical problem in the Skyrme model. Third is to provide a short summary of the framework of regular hyperbolicity of Christodoulou for the relativity community. In the process, a general theorem about dominant energy conditions for Lagrangian theories of maps is proved, as well as several results concerning hyperbolicity of those maps.

Comments: | 25 pages. No figures. |

Subjects: | Mathematical Physics (math-ph); General Relativity and Quantum Cosmology (gr-qc); Analysis of PDEs (math.AP) |

MSC classes: | 70S99 83C10 |

Cite as: | arXiv:1011.3029v1 [math-ph] |

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Authors: G. W. Gibbons, C. M. Warnick, W. W. Wong

Categories: hep-th

http://arxiv.org/abs/1005.2488

Authors: G.W. Gibbons

Categories: hep-th

http://arxiv.org/abs/hep-th/0302149

Authors: Eric Bonenfant and Luc Marleau

Categories: hep-ph

http://arxiv.org/abs/1007.1396

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Title: Inflating baby-Skyrme branes in six dimensions

Authors: Yves Brihaye, T\'erence Delsate, Nobuyuki Sawado, Yuta Kodama

Categories: hep-th gr-qc

http://arxiv.org/abs/1007.0736

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Title: Topological Excitations in Spinor Bose-Einstein Condensates

Authors: Yuki Kawaguchi, Michikazu Kobayashi, Muneto Nitta, Masahito Ueda

Categories: cond-mat.quant-gas hep-ph

http://arxiv.org/abs/1006.5839

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Title: Compactons and semi-compactons in the extreme baby Skyrme model

Authors: J.M. Speight

Categories: hep-th

http://arxiv.org/abs/1006.3754

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Title: A Skyrme-type proposal for baryonic matter

Authors: C. Adam, J. Sanchez-Guillen, A. Wereszczynski

Categories: hep-th math-ph math.MP nucl-th

http://arxiv.org/abs/1001.4544

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Title: SU(2) Skyrme Model for Hadron

Authors: Miftachul Hadi, Hans Jacobus Wospakrik

Categories: hep-ph math-ph math.MP nucl-th

http://arxiv.org/abs/1007.0888

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Title: Analytical Analysis and Numerical Solution of Two Flavours Skyrmion

Authors: Miftachul Hadi, Irwandi Nurdin, Denny Hermawanto

Categories: hep-ph math-ph math.MP nucl-th

http://arxiv.org/abs/1006.5601

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Title: Nonconcentration of energy for a semilinear Skyrme model

Authors: Dan-Andrei Geba, S. G. Rajeev

Categories: math.AP hep-th

http://arxiv.org/abs/1006.3470

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Sun Jan 23 03:07:20 PST 2011