Thermodynamics of the BPS Skyrme model

Adam, C.; Naya, C.; Sánchez-Guillén, J.; Speight, J.M.; Wereszczyński, A.

doi:10.1103/physrevd.90.045003

Cited by 38 publications

(68 citation statements)

References 57 publications

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“…Like all field theories, a solitonic EFT is equipped with a natural definition of pressure (the fieldtheoretic pressure; see below). As demonstrated recently in [4], this directly implies a unique definition of the thermodynamical volume (for the case of Skyrmions, see also [5,6]). It turns out that the thermodynamical volume is equal to the geometric volume, i.e., the volume of the region in space where the static energy density is different from 0 (see also Sec.…”

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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Section: Introductionmentioning

confidence: 99%

Volume of a vortex and the Bradlow bound

2017

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“…There is a natural way to introduce pressure in the BPS (baby) Skyrme model, for details we refer to [49]. Let us first rewrite the BPS baby Skyrme model as…”

Section: Pressure In the Ungauged Bps Baby Skyrme Modelmentioning

confidence: 99%

Magnetothermodynamics of BPS baby skyrmions

Adam

Romańczukiewicz

Sánchez-Guillén

et al. 2014

J. High Energ. Phys.

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The magnetothermodynamics of skyrmion type matter described by the gauged BPS baby Skyrme model at zero temperature is investigated. We prove that the BPS property of the model is preserved also for boundary conditions corresponding to an asymptotically constant magnetic field. The BPS bound and the corresponding BPS equations saturating the bound are found. Further, we show that one may introduce pressure in the gauged model by a redefinition of the superpotential. Interestingly, this is related to non-extremal type solutions in the so-called fake supersymmetry method. Finally, we compute the equation of state of magnetized BSP baby skyrmions inserted into an external constant magnetic field H and under external pressure P , i.e., V = V (P, H), where V is the "volume" (area) occupied by the skyrmions. We show that the BPS baby skyrmions form a ferromagnetic medium.

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“…It leads to an unphysically large compression modulus [33]. Nevertheless, it is still interesting to consider this case, as for the step function potential the exact equation of state precisely agrees with its mean-field average version.…”

Section: The Step Function Potentialmentioning

confidence: 99%

“…For small P , on the other hand, our MFEoS are much softer. Indeed, for potentials with an approach to the vacuum like lim ξ→0 U ∼ ξ α such that α ≥ 2 -to which both the potential 2h (α = 2) and the potential 4h 2 (α = 4) belong -it follows easily from the results of [33] that the speed of sound at nuclear saturation is zero, v 2 P =0 = lim P →0 (∂ρ/∂P ) −1 = 0. The general picture we find is that of a maximally stiff (maximally compact) nuclear matter in the core of the neutron star and, more generally, for densities which are sufficiently above nuclear saturation density ρ s .…”

Section: Fig 7: (Color Online)mentioning

confidence: 99%

“…This is a profound difference between the BPS Skyrme model and any other low energy effective theory of Quantum Chromodynamics. Below we briefly summarize some thermodynamical properties of the BPS Skyrme model [33]. First of all, the energy-momentum tensor of the BPS Skyrme model has the form of the energymomentum tensor of a perfect fluid (for the moment we consider the case of flat Minkowski space, i.e., without gravity)…”

Section: Equation Of State In the Bps Skyrme Modelmentioning

confidence: 99%

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Neutron stars in the Bogomol'nyi-Prasad-Sommerfield Skyrme model: Mean-field limit versus full field theory

et al. 2015

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Using a solitonic model of nuclear matter, the BPS Skyrme model, we compare neutron stars obtained in the full field theory, where gravitational back reaction is completely taken into account, with calculations in a mean-field approximation using the TolmanOppenheimer-Volkoff approach. In the latter case, a mean-field-theory equation of state is derived from the original BPS field theory.We show that in the full field theory, where the energy density is non-constant even at equilibrium, there is no universal and coordinate independent equation of state of nuclear matter, in contrast to the mean-field approximation. We also study how neutron star properties are modified by going beyond mean field theory, and find that the differences between mean field theory and exact results can be considerable. Further, we compare both exact and mean-field results with some theoretical and phenomenological constraints on neutron star properties, demonstrating thus the relevance of our model even in its most simple version.

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Thermodynamics of the BPS Skyrme model

Cited by 38 publications

References 57 publications

Volume of a vortex and the Bradlow bound

Volume of a vortex and the Bradlow bound

Magnetothermodynamics of BPS baby skyrmions

Neutron stars in the Bogomol'nyi-Prasad-Sommerfield Skyrme model: Mean-field limit versus full field theory

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