The QCD trace anomaly at strong coupling from M-theory

The European Physical Journal. C, Particles and Fields
Aalok Misra, Charles Gale

Abstract

Obtaining a lattice-consistent result for the temperature dependence of the QCD conformal anomaly from a top-down M-theory dual (valid) for all temperatures - both, T < T c and T > T c - of thermal QCD at intermediate gauge coupling, has been missing in the literature. We fill this gap by addressing this issue from the M-theory uplift of the SYZ type IIA mirror at intermediate gauge/string coupling [both obtained in Dhuria et al. (JHEP 1311:001, 2013)] of the UV-complete type IIB holographic dual of large-N thermal QCD of Mia et al. (Nucl Phys B 839:187, 2010), and comparing with the very recent lattice results of Bazavov et al. (Phys Rev D 97(1):014510, 2018). Estimates of the O ( R 4 ) higher derivative corrections in the D = 11 supergravity action relevant to considering the aforementioned M theory uplift in the intermediate 't Hooft coupling (in addition to gauge coupling) limit, are also presented. We also show that after a tuning of the (small) Ouyang embedding parameter and radius of a blown-up S 2 when expressed in terms of the horizon radius, a QCD deconfinement temperature T c = 150  MeV from a Hawking-Page phase transition at vanishing baryon chemical potential consistent with lattice ...Continue Reading

References

Nov 13, 2008·Physical Review Letters·Umut GürsoyFrancesco Nitti
Apr 7, 2010·Physical Review Letters·Marco Panero
May 19, 2018·Physical Review Letters·Edward F BrownSanjay Reddy

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