For those of you who have not suffered through a course in Newtonian mechanics, is one of the hardest, and frankly coolest, classical physics problems out there. The idea is this: make a really big pendulum and set it swinging back and forth. Now if the earth stood still, the pendulum would just keep on swinging like that forever. But because it spins, the pendulum’s plane of rotation keeps changing. Over the course of the day, the pendulum’s swing will precess
180 a certain number of degrees, depending on latitude. It’s all about conservation of momentum and angular coordinates and such.
Diagram methods, originally developed for computations in quantum field theory by Richard Feynman have a long history of application to classical problems as well. The first such classical application of diagram methods to classical physics problems may have been paper treating sound propagation in a bubbly fluid. used diagram methods to model electromagnetic wave propagation in a turbulent atmosphere. More recently and have used diagram methods to derive corrections to original theory. This latter work has led to improved understanding of acoustic wave propagation in bubbly fluids.
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I am currently writing a Topical Review for the journal that should be published in Summer 2014. The title, at least for now, is “Effective Field Theory and Gravity”. The article will contain a somewhat pedagogical overview of EFT for classical physics problems in gravity, will review some of the major results with gravitational wave applications, and will present some directions in astrophysics and cosmology to which I think EFT might be useful.