Effective field theory, fluid dynamics, and the spontaneous breaking of space-time symmetries
Abstract: The study of fluid dynamics has a rich and storied history beginning, arguably, with Leonardo's visual studies on turbulent flow. After hundreds of years of work is there anything left to contribute? I will argue that with modern ideas (whose origins lie in quantum field theory and particle physics) we can. I will introduce relativistic (and non-relativistic) perfect fluids in the form of an effective field theory. Within this powerful framework I will discuss the---unique to fluids---vorticose modes: What they mean quantum mechanically. How we can deal with them systematically classically (still working with the QFT framework). And finally, some preliminary discussion on how we can systemically incorporate dissipative effects. Finally, I will touch briefly upon the larger class of theories in which fluid dynamics lives: theories that spontaneously break Poincaré invariance.
1:00pm-2:00pm calendar page