A Holographic Description of Colour Superconductivity

The difficulty of describing the gauge dependent bi-quark condensate in the QCD colour superconducting phase has made it hard to construct a holographic dual of the state. To side step this problem, we argue that near the chiral restoration transition in the temperature-chemical potential plane, the...

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Bibliographic Details
Published in:arXiv.org 2018-09
Main Authors: Fadafan, Kazem Bitaghsir, Jesus Cruz Rojas, Evans, Nick
Format: Article
Language:English
Subjects:
Chemical potential
Color
Fermions
Gluons
Organic chemistry
Phase diagrams
Quantum chromodynamics
Quantum numbers
Quarks
Restoration
Superconductivity
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Summary:The difficulty of describing the gauge dependent bi-quark condensate in the QCD colour superconducting phase has made it hard to construct a holographic dual of the state. To side step this problem, we argue that near the chiral restoration transition in the temperature-chemical potential plane, the strongly coupled gluons are likely completely gapped so that the colour quantum numbers of the quarks can be thought of below that gap as global indices. A standard AdS-superconductor model can then be used to analyze the fermionic gap formation. We investigate the role of four-fermion interactions, which might be used to include the gapped QCD interactions, on the vacuum and metastable vacua of the model. It turns out to be easiest to simply relate the standard interaction of the holographic superconductor to the strength of the gapped gluons. The result is a holographic description of the QCD colour superconducting phase diagram. We take a first look at how quark mass enters and causes a transition between the colour flavour locked phase and the 2SC phase.
ISSN:2331-8422
DOI:10.48550/arxiv.1803.03107