Abstract
Quantum chromodynamics (QCD) is the fundamental theory of strong interactions. It describes the behavior of quarks and gluons which are the smallest known constituents of nuclear matter. The difficulties in solving the theory at low energies in the strongly interacting, non-perturbative regime have left unanswered many important questions in QCD, such as the nature of confinement or the mechanism of hadronization. In these lectures oriented toward the students we introduce two classes of dualities that attempt to reproduce many of the features of QCD, while making the treatment at strong coupling more tractable: (1) the AdS/CFT correspondence between a specific class of string theories and a conformal field theory and (2) an effective low-energy theory of QCD dual to classical QCD on a curved conformal gravitational background. The hope is that by applying these dualities to the evaluation of various properties of the strongly interacting matter produced in heavy-ion collisions, one can understand how QCD behaves at strong coupling. We give an outline of the applications, with emphasis on two transport coefficients of QCD matter – shear and bulk viscosities.
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Acknowledgments
D.K. is grateful to H. Satz and B. Sinha for the invitation to deliver these lectures and the hospitality in Jaipur. The work of D.K. was supported by the U.S. Department of Energy under Contract No. DE-AC02-98CH10886
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Bra³oveanu, T., Kharzeev, D., Martinez, M. (2009). In Search of the QCD–Gravity Correspondence. In: Sarkar, S., Satz, H., Sinha, B. (eds) The Physics of the Quark-Gluon Plasma. Lecture Notes in Physics, vol 785. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02286-9_10
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