Bootstrapping CFTs and QFTs

Abstract: I will review some recent developments in the bootstrap approach towards understanding quantum field theories. I will begin by using the bootstrap to do epsilon expansion ala Wilson-Fisher to calculate critical exponents and OPE coefficients (relevant for the 3d Ising model)—the latter being something that is difficult to calculate using traditional Feynman diagram approach. This is an example of a conformal field theory and will use techniques of the conformal bootstrap. Then I will discuss some recent work to constrain the space of S-matrices for pion scattering in the standard model of particle physics using the recent reincarnation of the S-matrix bootstrap. In the course, I will also introduce and examine certain quantum information ideas which will aid us in understanding the space of S-matrices.

astrophysicscondensed mattergeneral relativity and quantum cosmologyHEP - phenomenologyHEP - theorymathematical physicsquantum physics

Audience: researchers in the topic

Quantum Aspects of Space-Time and Matter