Quantum Kinetics and Statistical Mechanics of "Unparticles"

<strong>Seminar of the School of Physical Sciences</strong> <strong>Title: Quantum Kinetics and Statistical Mechanics of "Unparticles"</strong> <strong>Speaker: Ayan Mukhopadhyay&nbsp;</strong> (Technical University, Vienna) Date:&nbsp;<strong>September 16, 2016 (Friday)</strong> <strong>Abstract:&nbsp;</strong>Our usual constructions of kinetic theory and statistical mechanics are based on weakly interacting particles. In strongly interacting systems such as non-Fermi liquids, experiments such as photoemission data reveals broad resonances with unusual scaling properties -- such excitations are often called "unparticles". We cannot use the Boltzmann equation to describe kinetic theory of such systems. The Fokker-Planck and Langevin equations also do not describe statistical behavior of heavy probes as the paradigm of independent collisions of probes with the "individual atoms" of the media does not apply either. Nevertheless, techniques of quantum field theory such as study of unequal time correlation functions, specially unequal time commutators and anti-commutators of appropriate local operators can lead us to Schwinger-Dyson equations with which we can construct kinetic theory and statistical mechanics of such media even away from equilibrium. In this talk, I will show how such models of kinetic theory and nonequilibrium statistical mechanics can be constructed in a class of strongly correlated systems via the holographic duality, which reduces the problem to calculations in a dual theory of classical gravity living in one higher dimension.