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Title: Emergent QCD Kondo effect in two-flavor color superconducting phase

Abstract

We show that effective coupling strengths between ungapped and gapped quarks in the two- flavor color superconducting (2SC) phase are renormalized by logarithmic quantum corrections. We obtain a set of coupled renormalization-group (RG) equations for two distinct effective coupling strengths arising from gluon exchanges carrying different color charges. The diagram of RG flow suggests that both of the coupling strengths evolve into a strong-coupling regime as we decrease the energy scale toward the Fermi surface. This is a characteristic behavior observed in the Kondo effect, which has been known to occur in the presence of impurity scatterings via non-Abelian interactions. We propose a novel Kondo effect emerging without doped impurities, but with the gapped quasiexcitations and the residual SU(2) color subgroup intrinsic in the 2SC phase, which we call the “2SC Kondo effect.”

Authors:
; ;
Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1523684
Alternate Identifier(s):
OSTI ID: 1543420
Report Number(s):
BNL-211867-2019-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; 094044
Grant/Contract Number:  
SC0012704
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 99 Journal Issue: 9; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Hattori, Koichi, Huang, Xu-Guang, and Pisarski, Robert D. Emergent QCD Kondo effect in two-flavor color superconducting phase. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.99.094044.
Hattori, Koichi, Huang, Xu-Guang, & Pisarski, Robert D. Emergent QCD Kondo effect in two-flavor color superconducting phase. United States. https://doi.org/10.1103/PhysRevD.99.094044
Hattori, Koichi, Huang, Xu-Guang, and Pisarski, Robert D. Fri . "Emergent QCD Kondo effect in two-flavor color superconducting phase". United States. https://doi.org/10.1103/PhysRevD.99.094044.
@article{osti_1523684,
title = {Emergent QCD Kondo effect in two-flavor color superconducting phase},
author = {Hattori, Koichi and Huang, Xu-Guang and Pisarski, Robert D.},
abstractNote = {We show that effective coupling strengths between ungapped and gapped quarks in the two- flavor color superconducting (2SC) phase are renormalized by logarithmic quantum corrections. We obtain a set of coupled renormalization-group (RG) equations for two distinct effective coupling strengths arising from gluon exchanges carrying different color charges. The diagram of RG flow suggests that both of the coupling strengths evolve into a strong-coupling regime as we decrease the energy scale toward the Fermi surface. This is a characteristic behavior observed in the Kondo effect, which has been known to occur in the presence of impurity scatterings via non-Abelian interactions. We propose a novel Kondo effect emerging without doped impurities, but with the gapped quasiexcitations and the residual SU(2) color subgroup intrinsic in the 2SC phase, which we call the “2SC Kondo effect.”},
doi = {10.1103/PhysRevD.99.094044},
journal = {Physical Review D},
number = 9,
volume = 99,
place = {United States},
year = {Fri May 31 00:00:00 EDT 2019},
month = {Fri May 31 00:00:00 EDT 2019}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.99.094044

Citation Metrics:
Cited by: 5 works
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Figures / Tables:

FIG. 1 FIG. 1: Effective dimensional reduction near a large Fermi surface. Excitations cost energy only in the normal direction, so that there is a two-dimensional degeneracy in the tangential directions.

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Works referencing / citing this record:

Spin-isospin Kondo effects for Σ c and Σ c * baryons and D ¯ and D ¯ * mesons
journal, October 2019


Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.