6533b826fe1ef96bd1283b03

RESEARCH PRODUCT

The SVZ plasmon

R. Rosenfelder

subject

PhysicsPhysics and Astronomy (miscellaneous)Correlation functionQuantum electrodynamicsQuantum mechanicsDegenerate energy levelsSum rule in quantum mechanicsOperator product expansionFermi gasGround stateEngineering (miscellaneous)PlasmonExcitation

description

The sum rule technique of Shifman, Vainshtein and Zakharov is applied to a non-relativistic many-body system, the homogeneous, degenerate electron gas. The operator product expansion for the nonrelativistic correlation function is derived and shown to be equivalent in lowest order to a moment expansion. The nonperturbative terms in this expansion characterize the interacting ground state (“vacuum”) of the system. For the electron gas they can be related to the correlation energy which is very well known. Following as close as possible the SVZ procedure the mass of the plasmon (i.e. the dispersion coefficient of the collective plasma excitation) is calculated and compared with results from conventional many-body theories.

https://doi.org/10.1007/bf01548654