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Kasi Jaswin (ICTS-TIFR, Bangalore)
Date & Time
Fri, 23 February 2018, 11:15 to 12:15
Emmy Noether Seminar Room, ICTS Campus, Bangalore

In this talk I'll talk about Matrix Models and application of Complex Langevin Dynamics to study them. I'll begin with introducing Matrix Models, and how they appear in various physics problems. I'll review a very famous model called the "Gross-Witten-Wadia" model, and a very natural extension of it, which we call "ab-Model". "ab-Model" is interesting because the action in it becomes complex, and hence it becomes challenging to solve it numerically using Monte-Carlo simulations. At large-N, we have solved the model analytically, and found two phases of the theory.  I'll demonstrate the effectiveness of Complex Langevin Dynamics in simulating the model. After that I'll talk about another interesting complex unitary matrix model, which describes QCD at finite density and temperature with N colors and N_f number of quarks flavors, and compare numerical results against analytical expressions.