• Open Access

Holographic description of color superconductivity

Kazem Bitaghsir Fadafan, Jesus Cruz Rojas, and Nick Evans
Phys. Rev. D 98, 066010 – Published 18 September 2018

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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  • Received 19 March 2018

DOI:https://doi.org/10.1103/PhysRevD.98.066010

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Kazem Bitaghsir Fadafan1, Jesus Cruz Rojas2, and Nick Evans2

  • 1Faculty of Physics, Shahrood University of Technology, P.O. Box 3619995161 Shahrood, Iran
  • 2STAG Research Centre & Physics and Astronomy, University of Southampton, Southampton, England SO17 1BJ, United Kingdom

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Issue

Vol. 98, Iss. 6 — 15 September 2018

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