Lecture on Quarkyonic Effective Field Theory

Lectures on Effective Field Theory

Quantum Field Theory Lecture Notes

Mathematical Aspects of Quantum Field Theory Lecture Two: Renormalization and Effective Field Theories

We concluded the previous lecture by discussing the finite dimensional version of Wick’s lemma, which computes integrals of polynomials against Gaussian measures as a sum over Feynman diagrams. In today’s lecture, we will see how this procedure carries over to the infinite dimensional setting of (perturbative) quantum field theory. It is instructive to work with a concrete example, though all o...

Operads and Conformal Field Theory Lecture 1: Conformal Field Theory

Physicists have developed very advanced methods to compute such integrals. For example, the famous Feynman diagram technique allows us to compute the above integral for a rather particular function S(x), a small perturbation of a positive de nite quadratic form in R . Sometimes, elaborate techniques of physicists to compute simple things nd an amazing application to very general things in mathe...

Effective Field Theory

Attempts to apply effective field theory (EFT) methods to nonrelativistic nucleon-nucleon (N N) scattering have raised questions about the nature and limitations of an EFT expansion when used nonperturbatively. We discuss the characteristics of a meaningful EFT analysis and compare them with traditional approaches to N N scattering. A key feature of an EFT treatment is a systematic expansion in...