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Thermodynamics of a field theory with an infrared fixed point from gauge/gravity duality

J. Alanen and K. Kajantie
Phys. Rev. D 81, 046003 – Published 9 February 2010
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  • INTRODUCTION
  • THE GRAVITY SECTOR OF THE MODEL
  • ANALYTIC APPROXIMATIONS IN THE…
  • THE TWO PHASES
  • CONCLUSIONS
  • ACKNOWLEDGEMENTS
    • References

    Abstract

    We use gauge/gravity duality to study the thermodynamics of a field theory with asymptotic freedom in the ultraviolet and a fixed point in the infrared. We find a high temperature quark-gluon phase and a low T conformal unparticle phase. The phase transition between the phases is of first order or continuous, depending on the ratio of the radii of asymptotic anti–de Sitter spaces at T=0 and T=∞. This is a prediction from a model of gauge/gravity duality, not yet verified on the field theory side.

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    • Received 21 January 2010

    DOI:https://doi.org/10.1103/PhysRevD.81.046003

    ©2010 American Physical Society

    Authors & Affiliations

    J. Alanen* and K. Kajantie†

    • Department of Physics, Post Office Box 64, FI-00014 University of Helsinki, Finland
    • Helsinki Institute of Physics, Post Office Box 64, FI-00014 University of Helsinki, Finland

    • *janne.alanen@helsinki.fi
    • †keijo.kajantie@helsinki.fi

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    Issue

    Vol. 81, Iss. 4 — 15 February 2010

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    • Figure 1
      Figure 1
      Temperature vs Q=1/(β0λ) as computed from (20). The minimum disappears for β0<6.58. Always T(Q=1/β0)=0 [see Eq. (35)].Reuse & Permissions
    • Figure 2
      Figure 2
      (Left panel) The pressure for β0=8. Note the positive peak at Q=0.137, caused via Eq. (23) by the increase of T(Q) starting from the IR limit 1/β0=0.125. (Right panel) Field configurations in the conformal region for β0=8. Note that the sound velocity vanishes at the same point Q=Qmax=0.137 where p′(Q) and T′(Q) vanish.Reuse & Permissions
    • Figure 3
      Figure 3
      Plot of p/T4 vs T/Λ in the critical region for a nonmonotonic T(Q). There is a stable high T gluon plasma phase with a metastable supercooled (SC) branch and a stable low T unparticle phase with a metastable superheated (SH) branch. The metastable branches terminate at the points where sound velocity squared becomes negative; between these points the system is mechanically unstable. There is a first order phase transition at Tc=1.084Λ. The unparticle phase extends to T=0 to the value π3e−16/3/4=0.037; the gluon plasma phase at T≫Tc to π3/4=7.75. For normalization to ideal gas, multiply by the factor in Eq. (30).Reuse & Permissions
    • Figure 4
      Figure 4
      Plot of p/T4 and of the interaction measure (ϵ−3p)/T4 (multiplied by 5) vs T/Λ for β0=2 with a monotonic T(Q). The two phases are continuously connected. The unparticle phase extends to T=0 to the value π3e−4/3/4=2.043; the gluon plasma phase at T≫Λ to π3/4=7.75. For normalization to ideal gas, multiply by the factor in Eq. (30).Reuse & Permissions
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