UV/IR mixing in field theory with matter at finite density

Lorentz invariant field theories describe matter at zero density, but many physical systems possess matter with finite density, ranging from ordinary metals to neutron stars. I will present our results on marginal Fermi liquid, which can be described by fermions at finite density coupled to a dynamical U(1) gauge field in 2 spatial dimensions. In particular, I will discuss the phenomenon of UV/IR mixing therein, which means that the IR physics can sensitively depend on the UV details. Compared to the previous literature that missed this effect, the UV/IR mixing strongly modifies the renormalization group flows and the scaling structures of the correlation functions in the system.

Zoom link