- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access
  • Access by Xinjiang University

Conformal field theory analysis of the QCD Kondo effect

Taro Kimura1,* and Sho Ozaki1,2,†

  • 1Department of Physics & Research and Education Center for Natural Sciences, Keio University, Kanagawa 223-8521, Japan
  • 2Department of Radiology, University of Tokyo Hospital, Tokyo 113-8655, Japan

  • *taro.kimura@keio.jp
  • †shoozaki0117@gmail.com
PDF

Phys. Rev. D 99, 014040 – Published 28 January, 2019

DOI: https://doi.org/10.1103/PhysRevD.99.014040

Abstract

We study nonperturbative aspects of the QCD Kondo effect, which has been recently proposed for the finite density and strong magnetic field systems, using conformal field theory describing the low-energy physics near the IR fixed point. We clarify the symmetry class of the QCD Kondo effect for both the finite density and magnetic field systems and show how the IR fixed point is nonperturbatively characterized by the boundary condition, which incorporates the impurity effect in the Kondo problem. We also obtain the low-temperature behavior of several quantities of the QCD Kondo effect in the vicinity of the IR fixed point based on the conformal field theory analysis.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (49)

  1. K. Hattori, K. Itakura, S. Ozaki, and S. Yasui, QCD Kondo effect: Quark matter with heavy-flavor impurities, Phys. Rev. D 92, 065003 (2015).
  2. S. Ozaki, K. Itakura, and Y. Kuramoto, Magnetically induced QCD Kondo effect, Phys. Rev. D 94, 074013 (2015).
  3. I. Affleck, A current algebra approach to the Kondo effect, Nucl. Phys. B336, 517 (1990).
  4. I. Affleck and A. W. W. Ludwig, Universal Noninteger ‘Ground State Degeneracy’ in Critical Quantum Systems, Phys. Rev. Lett. 67, 161 (1991).
  5. I. Affleck and A. W. W. Ludwig, The Kondo effect, conformal field theory and fusion rules, Nucl. Phys. B352, 849 (1991).
  6. I. Affleck and A. W. W. Ludwig, Critical theory of overscreened Kondo fixed points, Nucl. Phys. B360, 641 (1991).
  7. I. Affleck and A. W. W. Ludwig, Exact conformal field theory results on the multichannel Kondo effect: Single fermion Green’s function, selfenergy and resistivity, Phys. Rev. B 48, 7297 (1993).
  8. A. W. W. Ludwig and I. Affleck, Exact conformal field theory results on the multichannel Kondo effect: Asymptotic three-dimensional space and time dependent multipoint and many particle Green’s functions, Nucl. Phys. B428, 545 (1994).
  9. I. Affleck, Conformal field theory approach to the Kondo effect, Acta Phys. Pol. B 26, 1869 (1995).
  10. T. Kimura and S. Ozaki, Fermi/non-Fermi mixing in SU(N) Kondo effect, J. Phys. Soc. Jpn. 86, 084703 (2017).
  11. P. Di Francesco, P. Mathieu, and D. Sénéchal, Conformal Field Theory Graduate Texts in Contemporary Physics (Springer-Verlag, New York, 1997), DOI: 10.1007/978-1-4612-2256-9.
  12. E. Abdalla, M. C. B. Abdalla, and K. D. Rothe, Non-Perturbative Methods in Two-Dimensional Quantum Field Theory (World Scientific, Singapore, 2001), DOI: 10.1142/4678.
  13. H. W. J. Blöte, J. L. Cardy, and M. P. Nightingale, Conformal Invariance, the Central Charge, and Universal Finite Size Amplitudes at Criticality, Phys. Rev. Lett. 56, 742 (1986).
  14. I. Affleck, Universal Term in the Free Energy at a Critical Point and the Conformal Anomaly, Phys. Rev. Lett. 56, 746 (1986).
  15. I. Affleck, Realization of a Witten Critical Theory in (CH3)4NMnCl3, Phys. Rev. Lett. 56, 2763 (1986).
  16. K. G. Wilson, The renormalization group: Critical phenomena and the Kondo problem, Rev. Mod. Phys. 47, 773 (1975).
  17. S. Yasui and S. Ozaki, Transport coefficients from the QCD Kondo effect, Phys. Rev. D 96, 114027 (2017).
  18. E. Shuster and D. T. Son, On finite density QCD at large Nc, Nucl. Phys. B573, 434 (2000).
  19. T. Kojo, Y. Hidaka, L. McLerran, and R. D. Pisarski, Quarkyonic chiral spirals, Nucl. Phys. A843, 37 (2010).
  20. N. J. Evans, S. D. H. Hsu, and M. Schwetz, An effective field theory approach to color superconductivity at high quark density, Nucl. Phys. B551, 275 (1999).
  21. T. Kanazawa and S. Uchino, Overscreened Kondo effect, (color) superconductivity and Shiba states in Dirac metals and quark matter, Phys. Rev. D 94, 114005 (2016).
  22. G. S. Bali, F. Bruckmann, G. Endrödi, S. D. Katz, and A. Schäfer, The QCD equation of state in background magnetic fields, J. High Energy Phys. 08 (2014) 177.
  23. T. Hayata, Y. Hidaka, and A. Yamamoto, Temporal chiral spiral in QCD in the presence of strong magnetic fields, Phys. Rev. D 89, 085011 (2014).
  24. Y. Hirono, M. Hongo, and T. Hirano, Estimation of electric conductivity of the quark gluon plasma via asymmetric heavy-ion collisions, Phys. Rev. C 90, 021903 (2014).
  25. R. López, T. Rejec, J. Martinek, and R. Žitko, SU(3) Kondo effect in spinless triple quantum dots, Phys. Rev. B 87, 035135 (2013).
  26. Y. Nishida, SU(3) Orbital Kondo Effect with Ultracold Atoms, Phys. Rev. Lett. 111, 135301 (2013).
  27. Y. Nishida, Transport measurement of the orbital Kondo effect with ultracold atoms, Phys. Rev. A 93, 011606 (2016).
  28. Y. Hu and C. L. Kane, Universal symmetry-protected resonances in a spinful Luttinger liquid, arXiv:1604.08280.
  29. N. D. Mermin and H. Wagner, Absence of Ferromagnetism or Antiferromagnetism in One-Dimensional or Two-Dimensional isotzropic Heisenberg Models, Phys. Rev. Lett. 17, 1133 (1966).
  30. P. C. Hohenberg, Existence of long-range order in one and two dimensions, Phys. Rev. 158, 383 (1967).
  31. S. R. Coleman, There are no Goldstone bosons in two-dimensions, Commun. Math. Phys. 31, 259 (1973).
  32. P. Coleman and N. Andrei, Diagonalisation of the generalised Anderson model, J. Phys. C 19, 3211 (1986).
  33. P. Coleman, Mixed valence as an almost broken symmetry, Phys. Rev. B 35, 5072 (1987).
  34. S. Yasui, K. Suzuki, and K. Itakura, Kondo phase diagram of quark matter, arXiv:1604.07208.
  35. J. Erdmenger, C. Hoyos, A. O’Bannon, and J. Wu, A holographic model of the Kondo effect, J. High Energy Phys. 12 (2013) 086.
  36. A. O’Bannon, I. Papadimitriou, and J. Probst, A holographic two-impurity Kondo model, J. High Energy Phys. 01 (2016) 103.
  37. J. Erdmenger, M. Flory, C. Hoyos, M.-N. Newrzella, and J. M. S. Wu, Entanglement entropy in a holographic Kondo model, Fortschr. Phys. 64, 109 (2016).
  38. J. Erdmenger, C. Hoyos, A. O’Bannon, I. Papadimitriou, J. Probst, and J. M. S. Wu, Holographic Kondo and Fano resonances, Phys. Rev. D 96, 021901 (2017).
  39. J. Erdmenger, C. Hoyos, A. O’Bannon, I. Papadimitriou, J. Probst, and J. M. S. Wu, Two-point functions in a holographic Kondo model, J. High Energy Phys. 03 (2017) 039.
  40. J. Erdmenger, M. Flory, M.-N. Newrzella, M. Strydom, and J. M. S. Wu, Quantum quenches in a holographic Kondo model, J. High Energy Phys. 04 (2017) 045.
  41. B. Padhi, A. Tiwari, C. Setty, and P. W. Phillips, Log-rise of the resistivity in the holographic Kondo model, Phys. Rev. D 97, 066012 (2018).
  42. S. Yasui and K. Sudoh, Heavy-quark dynamics for charm and bottom flavor on the Fermi surface at zero temperature, Phys. Rev. C 88, 015201 (2013).
  43. S. Yasui, Kondo effect in charm and bottom nuclei, Phys. Rev. C 93, 065204 (2016).
  44. S. Yasui and K. Sudoh, Kondo effect of D¯s and D¯s* mesons in nuclear matter, Phys. Rev. C 95, 035204 (2017).
  45. S. Yasui, Kondo cloud of single heavy quark in cold and dense matter, Phys. Lett. B 773, 428 (2017).
  46. S. Yasui, K. Suzuki, and K. Itakura, Topology and stability of the Kondo phase in quark matter, Phys. Rev. D 96, 014016 (2017).
  47. K. Suzuki, S. Yasui, and K. Itakura, Interplay between chiral symmetry breaking and the QCD Kondo effect, Phys. Rev. D 96, 114007 (2017).
  48. I. Affleck and A. W. W. Ludwig, Exact Critical Theory of the Two Impurity Kondo Model, Phys. Rev. Lett. 68, 1046 (1992).
  49. I. Affleck, A. W. W. Ludwig, and B. A. Jones, Conformal field theory approach to the two-impurity Kondo problem: Comparison with numerical renormalization-group results, Phys. Rev. B 52, 9528 (1995).

Outline

Information

Phys. Rev. D 99, 014040– Published 28 January, 2019
  • Received 25 June 2018
Crossmark - Check for updates button
Creative Commons Logo

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

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation