Functional renormalization group approach to color superconducting phase transition

Functional renormalization group approach to color superconducting phase transition

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 co...

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Main Authors: Gergely Fejős, Naoki Yamamoto
Format: Article
Language:English
Published: SpringerOpen 2019-12-01
Series:Journal of High Energy Physics
Subjects:
Gauge Symmetry
Phase Diagram of QCD
Renormalization Group
Online Access:https://doi.org/10.1007/JHEP12(2019)069
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spelling doaj-6f0f217b10d44226bceaa83ca7c6e7b92020-12-06T12:06:44ZengSpringerOpenJournal of High Energy Physics1029-84792019-12-0120191211810.1007/JHEP12(2019)069Functional renormalization group approach to color superconducting phase transitionGergely Fejős0Naoki Yamamoto1Department of Physics, Keio UniversityDepartment of Physics, Keio UniversityAbstract 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.https://doi.org/10.1007/JHEP12(2019)069Gauge SymmetryPhase Diagram of QCDRenormalization Group
collection DOAJ
language English
format Article
sources DOAJ
author Gergely Fejős
Naoki Yamamoto
spellingShingle Gergely Fejős
Naoki Yamamoto
Functional renormalization group approach to color superconducting phase transition
Journal of High Energy Physics
Gauge Symmetry
Phase Diagram of QCD
Renormalization Group
author_facet Gergely Fejős
Naoki Yamamoto
author_sort Gergely Fejős
title Functional renormalization group approach to color superconducting phase transition
title_short Functional renormalization group approach to color superconducting phase transition
title_full Functional renormalization group approach to color superconducting phase transition
title_fullStr Functional renormalization group approach to color superconducting phase transition
title_full_unstemmed Functional renormalization group approach to color superconducting phase transition
title_sort functional renormalization group approach to color superconducting phase transition
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2019-12-01
description 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.
topic Gauge Symmetry
Phase Diagram of QCD
Renormalization Group
url https://doi.org/10.1007/JHEP12(2019)069
work_keys_str_mv AT gergelyfejos functionalrenormalizationgroupapproachtocolorsuperconductingphasetransition
AT naokiyamamoto functionalrenormalizationgroupapproachtocolorsuperconductingphasetransition
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