Crystals of superconducting Baryonic tubes in the low energy limit of QCD at finite density
Abstract The low energy limit of QCD admits (crystals of) superconducting Baryonic tubes at finite density. We begin with the Maxwell-gauged Skyrme model in (3 + 1)-dimensions (which is the low energy limit of QCD in the leading order of the large N expansion). We construct an ansatz able to reduce...
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2020-08-01
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doaj-cad0bb6cdc5c4f138a2d92cc947211d52020-11-25T03:19:18ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522020-08-0180811810.1140/epjc/s10052-020-8275-1Crystals of superconducting Baryonic tubes in the low energy limit of QCD at finite densityFabrizio Canfora0Marcela Lagos1Aldo Vera2Centro de Estudios Científicos (CECS)Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de ChileCentro de Estudios Científicos (CECS)Abstract The low energy limit of QCD admits (crystals of) superconducting Baryonic tubes at finite density. We begin with the Maxwell-gauged Skyrme model in (3 + 1)-dimensions (which is the low energy limit of QCD in the leading order of the large N expansion). We construct an ansatz able to reduce the seven coupled field equations in a sector of high Baryonic charge to just one linear Schrödinger-like equation with an effective potential (which can be computed explicitly) periodic in the two spatial directions orthogonal to the axis of the tubes. The solutions represent ordered arrays of Baryonic superconducting tubes as (most of) the Baryonic charge and total energy is concentrated in the tube-shaped regions. They carry a persistent current (which vanishes outside the tubes) even in the limit of vanishing U(1) gauge field: such a current cannot be deformed continuously to zero as it is tied to the topological charge. Then, we discuss the subleading corrections in the ’t Hooft expansion to the Skyrme model (called usually $$ {\mathcal {L}}_{6}$$ L6 , $${\mathcal {L}}_{8}$$ L8 and so on). Remarkably, the very same ansatz allows to construct analytically these crystals of superconducting Baryonic tubes at any order in the ’t Hooft expansion. Thus, no matter how many subleading terms are included, these ordered arrays of gauged solitons are described by the same ansatz and keep their main properties manifesting a universal character. On the other hand, the subleading terms can affect the stability properties of the configurations setting lower bounds on the allowed Baryon density.http://link.springer.com/article/10.1140/epjc/s10052-020-8275-1 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Fabrizio Canfora Marcela Lagos Aldo Vera |
spellingShingle |
Fabrizio Canfora Marcela Lagos Aldo Vera Crystals of superconducting Baryonic tubes in the low energy limit of QCD at finite density European Physical Journal C: Particles and Fields |
author_facet |
Fabrizio Canfora Marcela Lagos Aldo Vera |
author_sort |
Fabrizio Canfora |
title |
Crystals of superconducting Baryonic tubes in the low energy limit of QCD at finite density |
title_short |
Crystals of superconducting Baryonic tubes in the low energy limit of QCD at finite density |
title_full |
Crystals of superconducting Baryonic tubes in the low energy limit of QCD at finite density |
title_fullStr |
Crystals of superconducting Baryonic tubes in the low energy limit of QCD at finite density |
title_full_unstemmed |
Crystals of superconducting Baryonic tubes in the low energy limit of QCD at finite density |
title_sort |
crystals of superconducting baryonic tubes in the low energy limit of qcd at finite density |
publisher |
SpringerOpen |
series |
European Physical Journal C: Particles and Fields |
issn |
1434-6044 1434-6052 |
publishDate |
2020-08-01 |
description |
Abstract The low energy limit of QCD admits (crystals of) superconducting Baryonic tubes at finite density. We begin with the Maxwell-gauged Skyrme model in (3 + 1)-dimensions (which is the low energy limit of QCD in the leading order of the large N expansion). We construct an ansatz able to reduce the seven coupled field equations in a sector of high Baryonic charge to just one linear Schrödinger-like equation with an effective potential (which can be computed explicitly) periodic in the two spatial directions orthogonal to the axis of the tubes. The solutions represent ordered arrays of Baryonic superconducting tubes as (most of) the Baryonic charge and total energy is concentrated in the tube-shaped regions. They carry a persistent current (which vanishes outside the tubes) even in the limit of vanishing U(1) gauge field: such a current cannot be deformed continuously to zero as it is tied to the topological charge. Then, we discuss the subleading corrections in the ’t Hooft expansion to the Skyrme model (called usually $$ {\mathcal {L}}_{6}$$ L6 , $${\mathcal {L}}_{8}$$ L8 and so on). Remarkably, the very same ansatz allows to construct analytically these crystals of superconducting Baryonic tubes at any order in the ’t Hooft expansion. Thus, no matter how many subleading terms are included, these ordered arrays of gauged solitons are described by the same ansatz and keep their main properties manifesting a universal character. On the other hand, the subleading terms can affect the stability properties of the configurations setting lower bounds on the allowed Baryon density. |
url |
http://link.springer.com/article/10.1140/epjc/s10052-020-8275-1 |
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