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 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
- Publication:
-
European Physical Journal C
- Pub Date:
- August 2020
- DOI:
- 10.1140/epjc/s10052-020-8275-1
- arXiv:
- arXiv:2007.11543
- Bibcode:
- 2020EPJC...80..697C
- Keywords:
-
- High Energy Physics - Theory;
- Astrophysics - High Energy Astrophysical Phenomena;
- General Relativity and Quantum Cosmology;
- High Energy Physics - Phenomenology;
- Nuclear Theory
- E-Print:
- 30 pages, 19 figures. Accepted for publication in European Physical Journal C