Crystals of superconducting Baryonic tubes in the low energy limit of QCD at finite density

Canfora, Fabrizio; Lagos, Marcela; Vera, Aldo

doi:10.1140/epjc/s10052-020-8275-1

Cited by 41 publications

(58 citation statements)

References 103 publications

(165 reference statements)

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“…To find the winning pattern in the α, β < 0 regime, we minimize the ferromagnetic egg's energy (48) as a function of the relative yolk size ξ and then compare the minimum to the other two competing patterns in this regime, namely the non-Abelian pattern and the global ferromagnetic pattern. For simplicity, we first take a difference…”

Section: Ferromagnetic Egg Patternmentioning

confidence: 99%

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Many phases of generalized 3D instanton crystals

2021

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Nuclear matter at large number of colors is necessarily in a solid phase. In particular holographic nuclear matter takes the form of a crystal of instantons of the flavor group. In this article we initiate the analysis of the three-dimensional crystal structures and the orientation patterns for the two-body potential that follows from holographic duality. The outcome of the analysis includes several unexpected results. We perform simulations of ensembles of O(10000) instantons whereby we identify the lattice structure and orientations for the different values of the weight factors of the non-Abelian orientation terms in the two-body potential. The resulting phase diagram is surprisingly complex, including a variety of ferromagnetic and antiferromagnetic crystals with various global orientation patterns, and various ``non-Abelian'' crystals where orientations have no preferred direction. The latter include variants of face-centered-cubic, hexagonal, and simple cubic crystals which may have remarkably large or small aspect ratios. The simulation results are augmented by analytic analysis of the long-distance divergences, and numerical computation of the (divergence free) energy differences between the non-Abelian crystals, which allows us to precisely determine the structure of the phase diagram.

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Section: Ferromagnetic Egg Patternmentioning

confidence: 99%

“…Taking into account effects due to their finite size is a demanding task. Some nontrivial configurations are known however for the Skyrme models (see, e.g., [46][47][48]).…”

Section: Conclusion and Open Questionsmentioning

confidence: 99%

Many phases of generalized 3D instanton crystals

2021

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“…As it will be explained in the next subsection here below, the approach of [84][85][86][87][88][89][90][91][92] leads to the ansatz (3) with…”

Section: Gauged Baby Skyrmionsmentioning

confidence: 99%

“…This strategy has been inspired by the similar (but more involved) case of the gauged Skyrme model in (3+1)dimensions: see [85,[89][90][91]. The above conditions in Eqs.…”

Section: On the Construction Of The Ansatz For The Gauged Solitonsmentioning

confidence: 99%

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Analytic baby skyrmions at finite density

et al. 2020

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We study the baby Skyrme model in (2+1)-dimensions built on a finite cylinder. To this end, we introduce a consistent ansatz which is able to reduce the complete set of field equations to just one equation for the profile function for arbitrary baryon charge. Many analytic solutions both with and without the inclusion of the effects of the minimal coupling with the Maxwell field are constructed. The baby skyrmions appear as a sequence of rings along the cylinder, leading to a periodic shape in the baryon density. Linear stability and other physical properties are discussed. These analytic gauged baby Skyrmions generate a persistent U(1) current which cannot be turned off continuously as it is tied to the topological charge of the baby Skyrmions themselves. In the simplest non-trivial case of a gauged baby Skyrmion, a very important role is played by the Mathieu equation with an effective coupling constant which can be computed explicitly. These configurations are a very suitable arena to test resurgence in a non-integrable context.

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Chiral Soliton Lattice turns into 3D crystal

Evans,

Schmitt

2024

J. High Energ. Phys.

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Chiral perturbation theory predicts the chiral anomaly to induce a so-called Chiral Soliton Lattice at sufficiently large magnetic fields and baryon chemical potentials. This state breaks translational invariance in the direction of the magnetic field and was shown to be unstable with respect to charged pion condensation. Improving on previous work by considering a realistic pion mass, we employ methods from type-II superconductivity and construct a three-dimensional pion (and baryon) crystal perturbatively, close to the instability curve of the Chiral Soliton Lattice. We find an analogue of the usual type-I/type-II transition in superconductivity: along the instability curve for magnetic fields eB > 0.12 GeV2 and chemical potentials μ < 910 MeV, this crystal can continuously supersede the Chiral Soliton Lattice. For smaller magnetic fields the instability curve must be preceded by a discontinuous transition.

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Crystals of superconducting Baryonic tubes in the low energy limit of QCD at finite density

Cited by 41 publications

References 103 publications

Many phases of generalized 3D instanton crystals

Many phases of generalized 3D instanton crystals

Analytic baby skyrmions at finite density

Chiral Soliton Lattice turns into 3D crystal

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