Journal of High Energy Physics (Dec 2019)

Functional renormalization group approach to color superconducting phase transition

  • Gergely Fejős,
  • Naoki Yamamoto

DOI
https://doi.org/10.1007/JHEP12(2019)069
Journal volume & issue
Vol. 2019, no. 12
pp. 1 – 18

Abstract

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Abstract We investigate the order of the color superconducting phase transition using the functional renormalization group approach. We analyze the Ginzburg-Landau effective theory of color superconductivity and more generic scalar SU(N c) gauge theories by calculating the β function of the gauge coupling in arbitrary dimension d based on two different regularization schemes. We find that in d = 3, due to gluon fluctuation effects, the β function never admits an infrared fixed point solution. This indicates that, unlike the ordinary superconducting transition, color superconductivity can only show a first-order phase transition.

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