Thermal mass and plasmino for strongly interacting fermions via holography

Article
First Online:
Received:
Accepted:

Abstract

We investigate fermion self energy problem in the strongly coupled dense medium in holographic approach. By working out bottom up models as well as top down ones we showed that vanishing thermal mass and non-existence of temperature generated plasmino mode is the universal feature of the strongly interacting fermion system. We identified that the dual of the bulk Rashiba effect, which was recently found by Herzog et.al, is the presence of the plasmino mode generated by the density.

Keywords

Holography and quark-gluon plasmas Gauge-gravity correspondence Holography and condensed matter physics (AdS/CMT) 
This is a preview of subscription content, log in to check access.

References

  1. [1]
    S.-S. Lee, A Non-Fermi Liquid from a Charged Black Hole: A Critical Fermi Ball, Phys. Rev. D 79 (2009) 086006 [arXiv:0809.3402] [INSPIRE].ADSGoogle Scholar
  2. [2]
    H. Liu, J. McGreevy and D. Vegh, Non-Fermi liquids from holography, Phys. Rev. D 83 (2011) 065029 [arXiv:0903.2477] [INSPIRE].ADSGoogle Scholar
  3. [3]
    T. Faulkner, H. Liu, J. McGreevy and D. Vegh, Emergent quantum criticality, Fermi surfaces and AdS 2, Phys. Rev. D 83 (2011) 125002 [arXiv:0907.2694] [INSPIRE].ADSGoogle Scholar
  4. [4]
    M. Cubrovic, J. Zaanen and K. Schalm, String Theory, Quantum Phase Transitions and the Emergent Fermi-Liquid, Science 325 (2009) 439 [arXiv:0904.1993] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  5. [5]
    C.P. Herzog and J. Ren, The Spin of Holographic Electrons at Nonzero Density and Temperature, JHEP 06 (2012) 078 [arXiv:1204.0518] [INSPIRE].ADSCrossRefGoogle Scholar
  6. [6]
    E. Braaten and R.D. Pisarski, Resummation and Gauge Invariance of the Gluon Damping Rate in Hot QCD, Phys. Rev. Lett. 64 (1990) 1338 [INSPIRE].ADSCrossRefGoogle Scholar
  7. [7]
    E. Braaten and R.D. Pisarski, Calculation of the gluon damping rate in hot QCD, Phys. Rev. D 42 (1990) 2156 [INSPIRE].ADSGoogle Scholar
  8. [8]
    E. Braaten and R.D. Pisarski, Soft Amplitudes in Hot Gauge Theories: A General Analysis, Nucl. Phys. B 337 (1990) 569 [INSPIRE].ADSCrossRefGoogle Scholar
  9. [9]
    E. Braaten and R.D. Pisarski, Calculation of the quark damping rate in hot QCD, Phys. Rev. D 46 (1992) 1829 [INSPIRE].ADSGoogle Scholar
  10. [10]
    E. Braaten and R.D. Pisarski, Simple effective Lagrangian for hard thermal loops, Phys. Rev. D 45 (1992) 1827 [INSPIRE].ADSGoogle Scholar
  11. [11]
    M. Le Bellac, Thermal Field Theory, Cambridge University Press, Cambridge (2000).Google Scholar
  12. [12]
    J.I. Kapusta and C. Gale, Finite-Temperature Field Theory: Principles and Applications, Cambridge University Press, Cambridge (2006).CrossRefGoogle Scholar
  13. [13]
    M. Harada and Y. Nemoto, Quasi-fermion spectrum at finite temperature from coupled Schwinger-Dyson equations for a fermion-boson system, Phys. Rev. D 78 (2008) 014004 [arXiv:0803.3257] [INSPIRE].ADSGoogle Scholar
  14. [14]
    H. Nakkagawa, H. Yokota and K. Yoshida, Vanishing Thermal Mass in the Strongly Coupled QCD/QED medium, Phys. Rev. D 85 (2012) 031902 [arXiv:1111.0117] [INSPIRE].ADSGoogle Scholar
  15. [15]
    T. Sakai and S. Sugimoto, Low energy hadron physics in holographic QCD, Prog. Theor. Phys. 113 (2005) 843 [hep-th/0412141] [INSPIRE].ADSMATHCrossRefGoogle Scholar
  16. [16]
    K.-Y. Kim, S.-J. Sin and I. Zahed, Dense hadronic matter in holographic QCD, hep-th/0608046 [INSPIRE].
  17. [17]
    S. Nakamura, Y. Seo, S.-J. Sin and K. Yogendran, A New Phase at Finite Quark Density from AdS/CFT, J. Korean Phys. Soc. 52 (2008) 1734 [hep-th/0611021] [INSPIRE].ADSCrossRefGoogle Scholar
  18. [18]
    O. Bergman, G. Lifschytz and M. Lippert, Holographic Nuclear Physics, JHEP 11 (2007) 056 [arXiv:0708.0326] [INSPIRE].ADSCrossRefGoogle Scholar
  19. [19]
    V. Klimov, Spectrum of Elementary Fermi Excitations in Quark Gluon Plasma. (In Russian), Yad. Fiz. 33 (1981) 1734 [Sov. J. Nucl. Phys. 33 (1981) 934] [INSPIRE].
  20. [20]
    H.A. Weldon, Dynamical holes in the quark-gluon plasma, Phys. Rev. D 40 (1989) 2410 [INSPIRE].ADSGoogle Scholar
  21. [21]
    H.A. Weldon, Structure of the quark propagator at high temperature, Phys. Rev. D 61 (2000) 036003 [hep-ph/9908204] [INSPIRE].ADSGoogle Scholar
  22. [22]
    R.D. Pisarski, Renormalized Fermion Propagator In Hot Gauge Theories, Nucl. Phys. A 498 (1989) 423C.ADSGoogle Scholar
  23. [23]
    E. Braaten and T.C. Yuan, Calculation of screening in a hot plasma, Phys. Rev. Lett. 66 (1991) 2183 [INSPIRE].ADSCrossRefGoogle Scholar
  24. [24]
    E. Braaten, Neutrino Emissivity Of An Ultrarelativistic Plasma From Positron And Plasmino Annihilation, Astrophys. J. 392 (1992) 70.ADSCrossRefGoogle Scholar
  25. [25]
    G. Baym, J.-P. Blaizot and B. Svetitsky, Emergence of new quasiparticles in quantum electrodynamics at finite temperature, Phys. Rev. D 46 (1992) 4043 [INSPIRE].ADSGoogle Scholar
  26. [26]
    J.-P. Blaizot and J.-Y. Ollitrault, Collective fermionic excitations in systems with a large chemical potential, Phys. Rev. D 48 (1993) 1390 [hep-th/9303070] [INSPIRE].ADSGoogle Scholar
  27. [27]
    R. Pisarski, Damping rates for moving particles in hot QCD, Phys. Rev. D 47 (1993) 5589 [INSPIRE].ADSGoogle Scholar
  28. [28]
    J. Blaizot, Quasiparticles in ultrarelativistic plasmas, Nucl. Phys. A 606 (1996) 347 [INSPIRE].ADSGoogle Scholar
  29. [29]
    A. Schaefer and M.H. Thoma, Quark propagation in a quark-gluon plasma with gluon condensate, Phys. Lett. B 451 (1999) 195 [hep-ph/9811364] [INSPIRE].ADSGoogle Scholar
  30. [30]
    A. Peshier, K. Schertler and M.H. Thoma, One loop selfenergies at finite temperature, Annals Phys. 266 (1998) 162 [hep-ph/9708434] [INSPIRE].ADSCrossRefGoogle Scholar
  31. [31]
    A. Peshier and M.H. Thoma, Quark dispersion relation and dilepton production in the quark gluon plasma, Phys. Rev. Lett. 84 (2000) 841 [hep-ph/9907268] [INSPIRE].ADSCrossRefGoogle Scholar
  32. [32]
    M.G. Mustafa and M.H. Thoma, Can Van Hove singularities be observed in relativistic heavy ion collisions?, Pramana 60 (2003) 711 [hep-ph/0201060] [INSPIRE].ADSCrossRefGoogle Scholar
  33. [33]
    C.P. Herzog and J. Ren, The Spin of Holographic Electrons at Nonzero Density and Temperature, JHEP 06 (2012) 078 [arXiv:1204.0518] [INSPIRE].ADSCrossRefGoogle Scholar
  34. [34]
    S. Sachdev, A model of a Fermi liquid using gauge-gravity duality, Phys. Rev. D 84 (2011) 066009 [arXiv:1107.5321] [INSPIRE].ADSGoogle Scholar
  35. [35]
    A. Allais, J. McGreevy and S.J. Suh, A quantum electron star, Phys. Rev. Lett. 108 (2012) 231602 [arXiv:1202.5308] [INSPIRE].ADSCrossRefGoogle Scholar
  36. [36]
    Y. Seo, S.-J. Sin and Y. Zhou, Self-energy of Strongly Interacting Fermions in Medium: a Holographic Approach, Phys. Lett. B 723 (2013) 207 [arXiv:1205.3377] [INSPIRE].ADSGoogle Scholar
  37. [37]
    T. Hartman and S.A. Hartnoll, Cooper pairing near charged black holes, JHEP 06 (2010) 005 [arXiv:1003.1918] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar

Copyright information

© SISSA, Trieste, Italy 2013

Authors and Affiliations

  1. 1.Department of PhysicsHanyang UniversitySeoulKorea
  2. 2.Center for Quantum SpacetimeSogang UniversitySeoulKorea

Personalised recommendations