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On Aspects of Holographic Thermal QCD at Finite Coupling

Jul 9, 2015
69 pages
Published in:
  • Nucl.Phys.B 910 (2016) 754-822
  • Published: Sep, 2016
e-Print:
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Abstract: (Elsevier)
In the context of string theoretic dual of thermal QCD-like theories at finite gauge/string coupling of [1] (as part of the ‘MQGP’ limit of [2] ), we obtain the QCD deconfinement temperature compatible with lattice results for the right number of light flavors Nf=3 , and the correct mass scale of the light (first generation) quarks. The type IIB background of [1] is also shown to be thermodynamically stable. Further, we show that the temperature dependence of DC electrical conductivity mimics a one-dimensional Luttinger liquid, and the requirement of the Einstein relation (ratio of electrical conductivity and charge susceptibility equal to the diffusion constant) to be satisfied requires a specific dependence of the Ouyang embedding parameter on the horizon radius. These results arise due to the non-Kählerity and non-conformality of the type IIB background. On the geometrical side we quantify the former (non-Kählerity) by evaluating the SU(3)/G2 -structure torsion classes of the local type IIA mirror/M-theory uplift. Analogous to what was shown for the type IIB background in [5] , we first show that the type IIA delocalized SYZ mirror (after fine tuning) can also be approximately supersymmetric. We then work out the G2 -structure torsion classes of the local M-theory uplift of the mirror type IIA metric – in the large- N limit at finite coupling, G2 structure approaches G2 holonomy.
Note:
  • v3: 1+63 pages, LaTeX, title slightly modified, large amounts of explanatory material added and text rearranged though Results are unchanged, references added, to appear in NPB (the journal version also includes two figs excluded in the arxiv version due to size constraints). arXiv admin note: text overlap with arXiv:hep-th/0211102 by other authors
  • temperature: deconfinement
  • stability: thermodynamical
  • Born-Infeld model: action
  • vector meson: mass
  • coupling: gauge
  • quantum chromodynamics: thermodynamics
  • M-theory
  • D-brane
  • torsion
  • G(2)
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