Alexander Soloviev: Spectra and transport in the RTA

I will discuss the kinetic Boltzmann equation in the relaxation time approximation (RTA), a simple way to analytically obtain information of collective real-time transport. I will present the analytically computed retarded two-point Green's functions of conserved operators in thermal states at non-zero density, and in the absence/presence of broken translational symmetry. This naturally leads to a discussion of the analytic structure and the transport properties such correlators imply. Looking forward, I will go beyond the usual standard truncation scheme used to close the BBGKY heirarchy and how such modifications lead to novel complex structure.