Baryon chemical potential and in-medium properties of BPS skyrmions

Adam, C.; Klähn, T.; Naya, C.; Sánchez-Guillén, J.; Vázquez, R. A.; Wereszczyński, A.

doi:10.1103/physrevd.91.125037

Cited by 21 publications

(18 citation statements)

References 101 publications

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“…Furthermore, there is no such term in the Walecka model. In addition, the observed effective mixing between these attractive channels does not allow for a clear understanding of a possible emergence of the hidden scalar meson in the Skyrme model, in a similar fashion as it has been recently understood in the case of the emergent ω meson [41,42]. In any case, it is an interesting feature of the Skyrme model that it does include some effects related to low lying mesons (here the ω and σ) although they are not introduced at the level of fields.…”

Section: /3mentioning

confidence: 99%

Skyrme models and nuclear matter equation of state

2015

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We investigate the role of pressure in a class of generalised Skyrme models. We introduce pressure as the trace of the spatial part of the energy-momentum tensor and show that it obeys the usual thermodynamical relation. Then, we compute analytically the mean-field equation of state in the high and medium pressure regimes by applying topological bounds on compact domains. The equation of state is further investigated numerically for the charge one skyrmions. We identify which term in a generalised Skyrme model is responsible for which part in the equation of state. Further, we compare our findings with the corresponding results in the Walecka model.

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Section: /3mentioning

confidence: 99%

Skyrme models and nuclear matter equation of state

2015

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“…Further, as mentioned already, the topological index of topological solitons implies a natural definition of particle number. The corresponding chemical potential may then be found rather straightforwardly (see [7] for the case of skyrmions).…”

Section: Introductionmentioning

confidence: 99%

Volume of a vortex and the Bradlow bound

2017

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We demonstrate that the geometric volume of a soliton coincides with the thermodynamical volume also for field theories with higher-dimensional vacuum manifolds (e.g., for gauged scalar field theories supporting vortices or monopoles), generalizing the recent results of Ref. [C. Adam, M. Haberichter, and A. Wereszczynski, Phys. Lett. B 754, 18 (2016).]. We apply this observation to understand Bradlowtype bounds for general Abelian gauge theories supporting vortices, as well as some thermodynamical aspects of said theories. In the case of SDiff Bogomolny-Prasad-Sommerfield (BPS) models (being examples of perfect fluid models) we show that the base-space independent geometric volume (area) of the vortex is exactly equal to the Bradlow volume (a minimal volume for which BPS soliton solutions exist). This volume can be finite for compactons or infinite for infinitely extended solitons (in flat Minkowski space-time).

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“…A remarkable feature of the Skyrme action is that it allows for the existence of solitons (Skyrmions) that behave as Fermionic degrees of freedom, in spite of the fact that the basic fields are scalar. Furthermore, Skyrmions describe nucleons both theoretically and phenomenologically (see, e. g., [2][3][4][5][6][7][8][9][10][11][12][13][14]), where the identification of the winding number of the Skyrmion with the Baryon number in particle physics [2] plays a crucial role. Following [3,7], the possibility of treating the Skyrme solitons as Fermions was extended to curved spaces as well [15,16], opening the possibility for applying this theory to general relativity and astrophysics.…”

Section: Introductionmentioning

confidence: 99%

Cosmological Einstein-Skyrme solutions with nonvanishing topological charge

Canfora¹,

Paliathanasis²,

Taves³

et al. 2017

Phys. Rev. D

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Time-dependent analytic solutions of the Einstein-Skyrme system -gravitating Skyrmions-, with topological charge one are analyzed in detail. In particular, the question of whether these Skyrmions reach a spherically symmetric configuration for t → +∞ is discussed. It is shown that there is a static, spherically symmetric solution described by the Ermakov-Pinney system, which is fully integrable by algebraic methods. For Λ > 0 this spherically symmetric solution is found to be in a "neutral equilibrium" under small deformations, in the sense that under a small squashing it would neither blow up nor dissapear after a long time, but it would remain finite forever (plastic deformation). Thus, in a sense, the coupling with Einstein gravity spontaneously breaks the spherical symmetry of the solution. However, in spite of the lack of isotropy, for t → ∞ (and Λ > 0) the space time is locally flat and the anisotropy of the Skyrmion only reflects the squashing of spacetime.

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Baryon chemical potential and in-medium properties of BPS skyrmions

Cited by 21 publications

References 101 publications

Skyrme models and nuclear matter equation of state

Skyrme models and nuclear matter equation of state

Volume of a vortex and the Bradlow bound

Cosmological Einstein-Skyrme solutions with nonvanishing topological charge

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