Gravity duals of theories with fundamental fermions

  • No School
  • AA 1
  • 42

This preview shows page 34 - 42 out of 42 pages.

Gravity duals of theories with fundamental fermions: - phase transitions - heavy quark bound states in plasma - transport properties Finite ‘t Hooft coupling corrections to photon emission spectrum Understanding 1/N corrections Phonino
Image of page 34
Epilogue On the level of theoretical models, there exists a connection between near-equilibrium regime of certain strongly coupled thermal field theories and fluctuations of black holes This connection allows us to compute transport coefficients for these theories The result for the shear viscosity turns out to be universal for all such theories in the limit of infinitely strong coupling At the moment, this method is the only theoretical tool available to study the near-equilibrium regime of strongly coupled thermal field theories Influences other fields (heavy ion physics, condmat)
Image of page 35
Three roads to universality of The absorption argument D. Son, P. Kovtun, A.S., hep-th/0405231 Direct computation of the correlator in Kubo formula from AdS/CFT A.Buchel, hep-th/0408095 “Membrane paradigm” general formula for diffusion coefficient + interpretation as lowest quasinormal frequency = pole of the shear mode correlator + Buchel-Liu theorem P. Kovtun, D.Son, A.S., hep-th/0309213, A.S., to appear, P.Kovtun, A.S., hep-th/0506184, A.Buchel, J.Liu, hep-th/0311175
Image of page 36
Universality of shear viscosity in the regime described by gravity duals Graviton’s component obeys equation for a minimally coupled massless scalar. But then . Since the entropy (density) is we get
Image of page 37
Analytic structure of the correlators Weak coupling: S. Hartnoll and P. Kumar, hep-th/0508092 Strong coupling: A.S., hep-th/0207133
Image of page 38
Pressure in perturbative QCD
Image of page 39
A hand-waving argument Gravity duals fix the coefficient: Thus
Image of page 40
Thermal conductivity Non-relativistic theory: Relativistic theory: Kubo formula: In SYM with non-zero chemical potential One can compare this with the Wiedemann-Franz law for the ratio of thermal to electric conductivity:
Image of page 41
Effect of viscosity on elliptic flow
Image of page 42

You've reached the end of your free preview.

Want to read all 42 pages?

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern

Stuck? We have tutors online 24/7 who can help you get unstuck.
A+ icon
Ask Expert Tutors You can ask You can ask You can ask (will expire )
Answers in as fast as 15 minutes
A+ icon
Ask Expert Tutors