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Adam, A.; Bersillon, O.; Joly, Simon

doi:10.1103/physrevc.14.92

Cited by 24 publications

(45 citation statements)

References 28 publications

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“…Figure 2 depicts the vector potential profiles a(r). Unlike of the case of the uncharged BPS solitons solutions approached in [41], here the vector potential profiles present a inverted ringlike shape (in our analysis such a feature is better seen in the interval 0 < g < 2) which goes vanishing for sufficiently large values of g when the vector potential achieves a constant vacuum value a ∞ → −1. As previously commented, when the vacuum value a ∞ → −1 the format of the soliton profiles become compactonlike structures.…”

Section: A Numerical Solutions For σ =contrasting

confidence: 55%

“…The other contributions listed in order are: the Chern-Simons term, the nonlinear σ-model term, the Skyrme term, and the self-interacting potential. Besides, we have extracted a common energy factor E 0 [29,41] setting the model energy scale which for our objectives we shall always consider E 0 = 1. Also, it will be assumed all the coupling constants are non-negative quantities.…”

Section: Maxwell-chern-simons Restricted Baby Skyrme Modelmentioning

confidence: 99%

“…where a ∞ and ω 0 are finite constants. By convenience, we now introduce the field redefinition [41] as follows:…”

Section: Rotationally Symmetric Skyrmionsmentioning

confidence: 99%

“…Such a limitation can be partially circumvented by adopting gauged versions of the restricted baby Skyrme model. Thus, BPS solitons has been obtained in a gauged restricted model whose gauge field dynamics is governed by the Maxwell term [41]. All these results have inspired the development a wide range of applications, including topological phase transitions [30], Bogomol'nyi equations based in the strong necessary conditions limit [42], gauged BPS baby skyrmions with quantized magnetic flux [43] and even in supersymmetry [44][45][46][47][48] and gravitational theories [49].…”

Section: Introductionmentioning

confidence: 99%

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Self-dual solitons in a Maxwell-Chern-Simons baby Skyrme model

et al. 2020

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We have studied the existence de self-dual solitons in a gauged version of the baby Skyrme model in which the gauge field dynamics is governed by the Maxwell-Chern-Simons action. For such a purpose, we have developed a detailed implementation of the Bogomol'nyi-Prasad-Sommerfield formalism providing the self-dual equations whose solutions saturate the energy lower bound. Such a bound related to the topological charge of the Skyrme field becomes quantized whereas both the total magnetic flux and the total electrical charge are not. We have found two types of self-dual Skyrme field profiles: the first is described by a solution which decays following an exponential-law (e −αr 2 , α > 0); the second is portrayed by a solution having a power-law decay (r −β , β > 0). On other hand, in both cases the asymptotic behavior of the gauge field is similar to the one presented in the context of the Abelian Higgs models describing Abrikosov-Nielsen-Olesen charged vortices. Other interesting feature we highlight is the localized magnetic flux inversion, a property does not observed in others gauged baby Skyrme models already studied in literature. Numerical results are presented for rotationally symmetrical field configurations by remarking some of its essential features.

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Section: A Numerical Solutions For σ =contrasting

confidence: 55%

Section: Maxwell-chern-simons Restricted Baby Skyrme Modelmentioning

confidence: 99%

“…where a ∞ and ω 0 are finite constants. By convenience, we now introduce the field redefinition [41] as follows:…”

Section: Rotationally Symmetric Skyrmionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Self-dual solitons in a Maxwell-Chern-Simons baby Skyrme model

et al. 2020

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“…In three dimensions -which is the case which we want to study here -the first examples of such zero energy Fermion bound states have been obtained only in 1986 [4], and some further results have been found recently [5]. In both articles no degeneracy of these zero modes has been observed, because, by their very methods, the authors of [4] and of [5] could only construct one zero mode per gauge field. Hence, the question of a possible degeneracy of zero energy bound states of the Abelian Dirac operator in three dimensions has remained completely unanswered up to now.…”

Section: Introductionmentioning

confidence: 94%

Degeneracy of zero modes of the Dirac operator in three dimensions

2000

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One of the key properties of Dirac operators is the possibility of a degeneracy of zero modes. For the Abelian Dirac operator in three dimensions the question whether such multiple zero modes may exist has remained unanswered until now. Here we prove that the feature of zero mode degeneracy indeed occurs for the Abelian Dirac operator in three dimensions, by explicitly constructing a class of Dirac operators together with their multiple zero modes. Further, we discuss some implications of our results, especially a possible relation to the topological feature of Hopf maps.Comment: Latex file, 7 page

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Sukhoruchkin

Soroko

Tables of Excitations From Reactions With Charged Particles. Part 1: Z = 3 - 36

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Fe56(d,n)Co

Cited by 24 publications

References 28 publications

Self-dual solitons in a Maxwell-Chern-Simons baby Skyrme model

Self-dual solitons in a Maxwell-Chern-Simons baby Skyrme model

Degeneracy of zero modes of the Dirac operator in three dimensions

27-Cobalt

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