New
papers on Skyrmions Thu Jan 13 03:50:36 PST 2011
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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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Regular hyperbolicity, dominant energy condition and causality for
Lagrangian theory of maps
(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:
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| Subjects:
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Mathematical
Physics (math-ph); General Relativity and Quantum Cosmology
(gr-qc); Analysis of PDEs (math.AP) |
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MSC classes:
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70S99 83C10 |
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Cite as:
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arXiv:1011.3029v1 [math-ph] |
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Title: Non-existence of Skyrmion-Skyrmion and
Skrymion-anti-Skyrmion
static equilibria.
Authors: G. W. Gibbons, C. M. Warnick, W. W. Wong
Categories: hep-th
http://arxiv.org/abs/1005.2488
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Title: Causality and the Skyrme model.
Authors: G.W. Gibbons
Categories: hep-th
http://arxiv.org/abs/hep-th/0302149
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Title: Nuclei as near BPS-Skyrmions
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