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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeNov 30th 2018

    just a stub for the moment, in order to make links work

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeNov 30th 2018

    changed page title to singular

    v1, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeDec 3rd 2018

    added some actual text, more references, a long quote

    diff, v3, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeDec 5th 2018
    • (edited Dec 5th 2018)

    added these further pointers:


    The construction of Skyrmions from instantons is due to

    • Michael Atiyah, N S Manton, Skyrmions from instantons, Phys. Lett. B, 222(3):438–442, 1989 (doi:v)

    The relation between skyrmions, instantons, calorons, solitons and monopoles is usefully reviewed and further developed in

    • Josh Cork, Calorons, symmetry, and the soliton trinity, PhD thesis, University of Leeds 2018 (web)

    • Josh Cork, Skyrmions from calorons, J. High Energ. Phys. (2018) 2018: 137 (arXiv:1810.04143)

    diff, v4, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeJan 24th 2019

    added a bunch of graphics and further references. In particular a little section As models for nuclei with some pointers

    diff, v7, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJan 24th 2019

    finally started an actual Definition-section (here). Just a minimum so far, am out of battery now…

    diff, v8, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeJan 25th 2019

    expanded a little here and there and slightly re-arranged some material

    diff, v9, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeNov 5th 2019

    added this:

    In solid state physics skyrmions in the magnetization of thin atomic layers are known as magnetic skyrmions.

    See:

    diff, v10, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeFeb 5th 2020

    added pointer to today’s

    • Sven Bjarke Gudnason, Muneto Nitta, Linking number of vortices as baryon number (arXiv:2002.01762)

    diff, v11, current

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeFeb 13th 2020
    • (edited Feb 13th 2020)

    added pointer also to

    diff, v15, current

    • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTimeMar 14th 2020

    added more pointers to inclusion of vector mesons into the Skyrmion model:

    Original proposal for inclusion of the ω-meson:

    Original proposal for inclusion of the ρ-meson:

    Review:

    • Yongseok Oh, Skyrmions with vector mesons: Single Skyrmion and baryonic matter, 2013 ([pdf)

    diff, v23, current

    • CommentRowNumber12.
    • CommentAuthorUrs
    • CommentTimeMar 14th 2020

    added pointer to this textbook:

    • Herbert Weigel, Chiral Soliton Models for Baryons, Lecture Notes in Physics book series, volume 743, Springer 2008 (doi:10.1007/978-3-540-75436-7)

    diff, v24, current

    • CommentRowNumber13.
    • CommentAuthorUrs
    • CommentTimeMar 14th 2020

    added pointer also to this review:

    diff, v25, current

    • CommentRowNumber14.
    • CommentAuthorUrs
    • CommentTimeMar 14th 2020

    added pointer to this article:

    diff, v25, current

    • CommentRowNumber15.
    • CommentAuthorUrs
    • CommentTimeMar 14th 2020

    added pointer to:

    diff, v25, current

    • CommentRowNumber16.
    • CommentAuthorUrs
    • CommentTimeMar 14th 2020

    added pointer to this review:

    If one assumes confinement, then [[SU(N)]]-QCD is equivalent to a theory of mesons (and glueballs) in which the (quartic) meson coupling constant is 1/N1/N.

    [..][..]

    [[here to stress that]] QCD is equivalent for any NN, including N=3N=3, to a meson theory in which 1/N1/N is the coupling constant, Large N is special only in that the meson coupling is only moderately weak.

    [..][..]

    These considerations remove all of the obstacles to interpreting baryons as the solitons of meson physics

    [..][..]

    There is every evidence that Skyrmions physics with varying couplings reproduces QCD baryons of varying NN.

    diff, v26, current

    • CommentRowNumber17.
    • CommentAuthorUrs
    • CommentTimeMar 14th 2020

    added pointers for the full π\pi-ρ\rho-ω\omega model:

    • U.-G. Meissner, N.Kaiser, W.Weise, Nucleons as skyrme solitons with vector mesons: Electromagnetic and axial properties, Nuclear Physics A Volume 466, Issues 3–4, 11–18 May 1987, Pages 685-723 (doi:10.1016/0375-9474(87)90463-5)

    • Ulf -G. Meissner, Norbert Kaiser, Andreas Wirzba, Wolfram Weise, Skyrmions with ρ\rho and ω\omega Mesons as Dynamical Gauge Bosons, Phys. Rev. Lett. 57, 1676 (1986) (doi:10.1103/PhysRevLett.57.1676)

    • Ju-Hyun Jung, Ulugbek T. Yakhshiev, Hyun-Chul Kim, In-medium modified π\pi-ρ\rho-ω\omega mesonic Lagrangian and properties of nuclear matter, Physics Letters B Volume 723, Issues 4–5, 25 June 2013, Pages 442-447 (arXiv:1212.4616, doi:10.1016/j.physletb.2013.05.042)

    diff, v26, current

    • CommentRowNumber18.
    • CommentAuthorUrs
    • CommentTimeMar 19th 2020

    added pointer to today’s

    • Avner Karasik, Skyrmions, Quantum Hall Droplets, and one current to rule them all (arXiv:2003.07893)

    diff, v27, current

    • CommentRowNumber19.
    • CommentAuthorUrs
    • CommentTimeMar 30th 2020

    added this original reference on the equivalence between hidden local symmetry- and massive Yang-Mills theory-description:

    • A. Hosaka, H. Toki, W. Weise, _Skyrme Solitons With Vector Mesons: Equivalence of the Massive Yang-Mills and Hidden Local Symmetry Scheme, 1988, Z. Phys. A332 (1989) 97-102 (spire:24079)

    diff, v31, current

    • CommentRowNumber20.
    • CommentAuthorUrs
    • CommentTimeApr 7th 2020

    added this pointer:

    diff, v36, current

    • CommentRowNumber21.
    • CommentAuthorUrs
    • CommentTimeApr 7th 2020

    added references on

    Inclusion of heavy flavors into the Skyrme model:

    Inclusion of strange quarks/kaons) into the Skyrme model:

    Review:

    Inclusion of further heavy flavors beyond strange quark/kaons, namely charm quarks/D-mesons and bottom quarks/B-mesons, into the Skyrme model:

    • Mannque Rho, D. O. Riska, N. N. Scoccola, The energy levels of the heavy flavour baryons in the topological soliton model, Zeitschrift für Physik A Hadrons and Nuclei volume 341, pages343–352 (1992) (doi:10.1007/BF01283544)

    • Arshad Momen, Joseph Schechter, Anand Subbaraman, Heavy Quark Solitons: Strangeness and Symmetry Breaking, Phys. Rev. D49:5970-5978, 1994 (arXiv:hep-ph/9401209)

    diff, v37, current

    • CommentRowNumber22.
    • CommentAuthorUrs
    • CommentTimeApr 9th 2020

    added pointer to today’s

    • C. Adam, J. Sanchez-Guillen, R. Vazquez, A. Wereszczynski, Adding crust to BPS Skyrme neutron stars (arXiv:2004.03610)

    diff, v40, current

    • CommentRowNumber23.
    • CommentAuthorUrs
    • CommentTimeApr 16th 2020

    added pointer to today’s

    diff, v41, current

    • CommentRowNumber24.
    • CommentAuthorUrs
    • CommentTimeApr 21st 2020

    added pointer to today’s

    diff, v42, current

    • CommentRowNumber25.
    • CommentAuthorUrs
    • CommentTimeApr 26th 2020
    • (edited Apr 26th 2020)

    added pointer to this old review:

    • Eric D’Hoker, Edward Farhi, The Proton as a Topological Twist: A model of elementary particles, without reference to quarks, contains topological structures whose properties match experimental observations remarkably well, American Scientist Vol. 73, No. 6 (November-December 1985), pp. 533-540 (jstor:27853483)

    diff, v46, current

    • CommentRowNumber26.
    • CommentAuthorUrs
    • CommentTimeApr 26th 2020

    added these two references, discussing Skyrmions in differential geometry:

    • Christian Gross, Differential Forms on the Skyrmion Bundle, In: Antoine JP., Ali S.T., Lisiecki W., Mladenov I.M., Odzijewicz A. (eds.) Quantization, Coherent States, and Complex Structures, Springer 1995 (doi:10.1007/978-1-4899-1060-8_7)

    and in algebraic topology:

    • Christian Gross, Topology of the skyrmion bundle, Journal of Mathematical Physics 36, 4406 (1995) (doi:10.1063/1.530899)

    diff, v47, current

    • CommentRowNumber27.
    • CommentAuthorUrs
    • CommentTimeMay 4th 2020

    added pointer to today’s

    • C. Adam, K. Oles, A. Wereszczynski, The Dielectric Skyrme model (arXiv:2005.00018)

    diff, v49, current

    • CommentRowNumber28.
    • CommentAuthorUrs
    • CommentTimeMay 7th 2020

    added this pointer:

    • Tatiana A. Ivanova, Olaf Lechtenfeld, Alexander D. Popov, Skyrme model from 6d 𝒩=(2,0)\mathcal{N}= (2,0) theory, Physics Letters B Volume 783, 10 August 2018, Pages 222-226 (arXiv:1805.07241)

    diff, v52, current

    • CommentRowNumber29.
    • CommentAuthorUrs
    • CommentTimeMay 25th 2020

    added pointer to today’s

    • C. Adam, M. Huidobro, R. Vazquez, A. Wereszczynski, BPS Skyrme neutron s tars in generalized gravity (arXiv:2005.10834)

    diff, v57, current

    • CommentRowNumber30.
    • CommentAuthorUrs
    • CommentTimeMay 25th 2020

    and added pointer to today’s

    diff, v57, current

    • CommentRowNumber31.
    • CommentAuthorUrs
    • CommentTimeJun 3rd 2020

    added pointer to today’s

    • Sven Bjarke Gudnason, Marco Barsanti, Stefano Bolognesi, Near-BPS baby Skyrmions (arXiv:2006.01726)

    diff, v58, current

    • CommentRowNumber32.
    • CommentAuthorUrs
    • CommentTimeJul 6th 2020

    added pointer to today’s

    • Chris Halcrow, Derek Harland, An attractive spin-orbit potential from the Skyrme model (arXiv:2007.01304)

    diff, v60, current

    • CommentRowNumber33.
    • CommentAuthorUrs
    • CommentTimeSep 8th 2020

    added pointer to today’s

    diff, v61, current

    • CommentRowNumber34.
    • CommentAuthorUrs
    • CommentTimeNov 18th 2020

    added pointer to today’s

    • Christoph Adam, Alberto García Martín-Caro, Miguel Huidobro, Ricardo Vázquez, Andrzej Wereszczynski, Quasi-universal relations for generalized Skyrme stars (arXiv:2011.08573)

    diff, v62, current

    • CommentRowNumber35.
    • CommentAuthorUrs
    • CommentTimeJan 8th 2021
    • (edited Jan 8th 2021)

    added pointer to today’s

    • Derek Harland, Chris Halcrow, Nucleon-nucleon potential from skyrmion dipole interactions (arXiv:2101.02633)

    The topic of this paper has a history of mistakes and sign errors in the literature. For both these reasons, we present our calculation in painstaking detail. [...][...].

    Compared with earlier attempts based on the Skyrme model, we obtain a very good match with the long-range parts of the Paris potential. Overall, these results provide an excellent starting point for describing the nucleon-nucleon interaction from the Skyrme model. Importantly, we can describe many features of the nucleon-nucleon interaction using a purely pionic theory. [...][...]

    our approach could be adapted to any model which treats nuclei as quantised solitons. This includes holographic QCD, where nuclei are described as instantons on a curved spacetime

    diff, v63, current

    • CommentRowNumber36.
    • CommentAuthorUrs
    • CommentTimeJan 20th 2021
    • (edited Jan 20th 2021)

    added pointer to today’s

    diff, v64, current

    • CommentRowNumber37.
    • CommentAuthorUrs
    • CommentTimeFeb 11th 2021

    added pointer to today’s

    • Francisco Correa, Andreas Fring, Takanobu Taira, Complex BPS Skyrmions with real energy (arXiv:2102.05781)

    diff, v65, current

    • CommentRowNumber38.
    • CommentAuthorUrs
    • CommentTimeMar 30th 2021

    added pointer to today’s:

    diff, v67, current

    • CommentRowNumber39.
    • CommentAuthorUrs
    • CommentTimeApr 26th 2021

    added pointer to today’s:

    • Shi Chen, Zebin Qiu, Kenji Fukushima, Skyrmions in a magnetic field and π 0\pi^0 domain wall formation in dense nuclear matter (arXiv:2104.11482)

    diff, v68, current

    • CommentRowNumber40.
    • CommentAuthorUrs
    • CommentTimeAug 15th 2021

    added pointer to:

    diff, v72, current

    • CommentRowNumber41.
    • CommentAuthorUrs
    • CommentTimeAug 17th 2021

    added pointer to:

    diff, v73, current

    • CommentRowNumber42.
    • CommentAuthorUrs
    • CommentTimeAug 20th 2021
    • (edited Aug 20th 2021)

    added this pointer:

    • Yossef Dothan, L. C. Biedenham, Old models never die: the revival of the Skyrme model, Comments on Nuclear and Particle Physics 17 2 (1987) 63-91 (spire:18567, pdf)

    as well as pointer to today’s

    • Emir Syahreza Fadhilla, Ardian Nata Atmaja, Bobby Eka Gunara, BPS Skyrmions of Generalized Skyrme Model In Higher Dimensions (arXiv:2108.08694)

    diff, v74, current

    • CommentRowNumber43.
    • CommentAuthorUrs
    • CommentTimeSep 6th 2021

    added pointer to today’s

    • Juan Carlos Criado, Valentin V. Khoze, Michael Spannowsky, Electroweak Skyrmions in the HEFT (arXiv:2109.01596)

    diff, v75, current

    • CommentRowNumber44.
    • CommentAuthorUrs
    • CommentTimeSep 15th 2021

    added pointer to today’s

    diff, v76, current

    • CommentRowNumber45.
    • CommentAuthorUrs
    • CommentTimeOct 6th 2021

    added pointer to today’s

    diff, v77, current

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