The volume of a soliton

Adam, C.; Haberichter, Mareike; Wereszczyński, A.

doi:10.1016/j.physletb.2016.01.009

Cited by 98 publications

(171 citation statements)

References 55 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: 68%

“…explicit expression for the locus function chosen here is different from the one in [4] (although they coincide for the cases considered in [4]) and the expression used here allows us to consider more general cases. The important point for us is that the locus function is invariant with respect to infinitesimal variations of the metric (the relevance of this condition will become clear in a moment).…”

Section: ð2:1þmentioning

confidence: 99%

“…We now want to prove that it is, at the same time, equal to the fieldtheoretical pressure (1.4). In a first step, we prove it for flat space g ij ¼ δ ij , g ¼ 1, closely following [4]. We act with an infinitesimal scale transformation x i → ð1 þ λÞx i , for infinitesimal λ, on all fields that appear in the constrained energy functional (but not on the metric).…”

Section: ð2:1þmentioning

confidence: 99%

“…It is one of the main objectives of the present paper to provide this notion, generalizing the results of [4] to the case of vortices (to solitons with a higher-dimensional vacuum manifold, in general). Further, in the case of vortices a related feature is the Bradlow bound mentioned above.…”

Section: Introductionmentioning

confidence: 99%

“…II, we provide the definition for the thermodynamical volume of a soliton, generalizing the results of [4]. In Sec.…”

Section: Introductionmentioning

confidence: 99%

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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: 68%

Section: ð2:1þmentioning

confidence: 99%

Section: ð2:1þmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…II, we provide the definition for the thermodynamical volume of a soliton, generalizing the results of [4]. In Sec.…”

Section: Introductionmentioning

confidence: 99%

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Volume of a vortex and the Bradlow bound

2017

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Prompt photon production and photon-jet correlations at the LHC

Klasen

Klein-Bösing

Poppenborg

2018

J. High Energ. Phys.

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Next-to-leading order predictions matched to parton showers are compared with recent ATLAS data on isolated photon production and CMS data on associated photon and jet production in pp and pPb collisions at different centre-of-mass energies of the LHC. We find good agreement and, as expected, considerably reduced scale uncertainties compared to previous theoretical calculations. Predictions are made for the ratio of inclusive photons over decay photons R γ , an important quantity to evaluate the significance of additional photon sources, e.g. thermal radiation from a Quark-Gluon-Plasma, and for distributions in the parton momentum fraction in lead ions x obs Pb , that could be determined by ALICE, ATLAS, CMS and LHCb in ongoing analyses of photon+jet production in pPb collisions at √ s N N = 5.02 TeV. These data should have an important impact on the determination of nuclear effects such as shadowing at low x.

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Near-BPS baby Skyrmions with Gaussian tails

Gudnason

Barsanti

Bolognesi

2021

J. High Energ. Phys.

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We consider the baby Skyrme model in a physically motivated limit of reaching the restricted or BPS baby Skyrme model, which is a model that enjoys area-preserving diffeomorphism invariance. The perturbation consists of the kinetic Dirichlet term with a small coefficient ϵ as well as the standard pion mass term, with coefficient $$ \upepsilon {m}_1^2 $$ ϵ m 1 2 . The pions remain lighter than the soliton for any ϵ and therefore the model is physically acceptable, even in the ϵ → 0 limit. The version of the BPS baby Skyrme model we use has BPS solutions with Gaussian tails. We perform full numerical computations in the ϵ → 0 limit and even reach the strict ϵ = 0 case, finding new nontrivial BPS solutions, for which we do not yet know the analytic form.

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The volume of a soliton

Cited by 98 publications

References 55 publications

Volume of a vortex and the Bradlow bound

Volume of a vortex and the Bradlow bound

Prompt photon production and photon-jet correlations at the LHC

Near-BPS baby Skyrmions with Gaussian tails

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