ST- Topics in Gauge Theory

This course will explore the quantum dynamics of (mainly four-dimensional) gauge theories, beginning with Maxwell theory, then Yang-Mills theory, asymptotic freedom, confinement, anomalies, instantons, chiral symmetry breaking, etc.. Supersymmetry will be introduced as an important tool to understand non-perturbative dynamics and used to study holomorphy, Seiberg duality and other exact results as time allows.

ST- Monte Carlo Methods

This course offers a systematic introduction to one of the most powerful and versatile simulation techniques for large complex system. It starts with a short introduction to the probability theory and random number generators, and is followed by the general theory of stochastic sampling techniques and data analysis for classical statistical models (including state-of-the-art schemes) and kinetic equations. The course concludes with the discussion of quantum Monte Carlo methods.

General Relativity

Mathematical and conceptual aspects of the special and general theories of relativity. Lorentz transformations, covariant formulation of the laws of nature. The equivalence principle, curved spaces, solutions of the equations of relativity. Prerequisite: PHYSICS 606.

ST-Topics in Continuum Physics

The course will address elementary concepts in continuum mechanics: conserved scalar and vector fields, and the stress tensor, and Lagrangian and Eulerian descriptions of the balance laws. Examples of motion - extensional, shear, and rigid body motion will be discussed, along with the basic equations of elasticity. We will study the basic equations of fluid mechanics, the Navier-Stokes equations, and its solutions in special cases, for viscous flows and low Reynolds number hydrodynamics.
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