Calendar of Events

Events Calendar

Ward Identities for Broken Scale Invariance in theHomogeneous Electron Gas,Their Large N Truncation, andConvergence of the 1/N Expansion

Date and Time: Tuesday, February 12, 2019, 01:30pm -
Location: 330W Serin (Renovated P&A Meeting Room and Seminar Space)
 

Speaker: Tom Banks (Rutgers University)

I derive an exact hierarchy of equations for correlation functions of the plasmon field in the HEG and show how it truncates to closed equations for a finite number of correlators at large N. The simplest truncation is a closed equation for the density density correlator. If there is time I will also outline recent results obtained with B Zhang showing that the 1/N expansion of the HEG converges and that it does not have a Wigner Crystal phase for some finite range of large N. The convergence result is consistent with recent Monte Carlo summations of Feynman diagrams performed by K. Haule and collaborators. As a consequence, the truncated equation for the two point function might give a reasonably accurate calculation of the density functional for finite values of N, within the radius of convergence.

Host: Premi Chandra

Extra Info: Please contact Ms. Nancy Pamula (This email address is being protected from spambots. You need JavaScript enabled to view it.) with questions regarding travel arrangements and reimbursements. Questions about the CM seminar schedule should be addressed to Prof. Premi Chandra (This email address is being protected from spambots. You need JavaScript enabled to view it.).