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Holographic description of color superconductivity

Holographic description of color superconductivity
Holographic description of color superconductivity

The difficulty of describing the gauge dependent biquark condensate in the QCD color 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 color quantum numbers of the quarks can be thought of below that gap as global indices. A standard anti-de Sitter-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 color superconducting phase diagram. We take a first look at how quark mass enters and causes a transition between the color-flavor locked phase and the two flavor color superconducting phase.

2470-0010
1-10
Fadafan, Kazem Bitaghsir
09897b8e-7f1c-4303-8b67-e869811f9716
Rojas, Jesus Cruz
4cab2072-a7b4-42d4-a9ea-e536f065d51e
Evans, Nick
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
Fadafan, Kazem Bitaghsir
09897b8e-7f1c-4303-8b67-e869811f9716
Rojas, Jesus Cruz
4cab2072-a7b4-42d4-a9ea-e536f065d51e
Evans, Nick
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3

Fadafan, Kazem Bitaghsir, Rojas, Jesus Cruz and Evans, Nick (2018) Holographic description of color superconductivity. Physical Review D, 98 (6), 1-10. (doi:10.1103/PhysRevD.98.066010).

Record type: Article

Abstract

The difficulty of describing the gauge dependent biquark condensate in the QCD color 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 color quantum numbers of the quarks can be thought of below that gap as global indices. A standard anti-de Sitter-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 color superconducting phase diagram. We take a first look at how quark mass enters and causes a transition between the color-flavor locked phase and the two flavor color superconducting phase.

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PhysRevD.98.066010 - Version of Record
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e-pub ahead of print date: 18 September 2018
Published date: 18 September 2018

Identifiers

Local EPrints ID: 425535
URI: https://eprints.soton.ac.uk/id/eprint/425535
ISSN: 2470-0010
PURE UUID: b9657df4-60b2-4b40-a0aa-8cece2b89e82

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Date deposited: 24 Oct 2018 16:30
Last modified: 13 Mar 2019 17:54

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Contributors

Author: Kazem Bitaghsir Fadafan
Author: Nick Evans

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