Ward Identities for Interacting Electronic Systems

Details Ward Identities for Interacting Electronic Systems Ward Identities for Interacting Electronic Systems

1998-07-23

arxiv.org/abs/cond-mat/9807313v1

Physics

Condensed Matter

11 pages, 3 figures, to appear in Phys. Lett. A

Scientific paper

10.1016/S0375-9601(98)00548-9

A Ward-Takahashi identity, as a consequence of gauge invariance and in a form that relates self-energy to the two-particle Bethe-Salpeter scattering kernel, was first derived by Vollhardt and W\"{o}lfle for a system of independent particles moving in a random medium. This is generalized to a class of interacting electronic systems in materials with or without random impurities, following a procedure previously used for classical waves transport in disordered media. This class of systems also possesses other symmetry properties such as invariance under time translations and local spin rotations, which imply local conservation laws for energy and spin current. They imply additional Vollhardt-W\"{o}lfle type identities. We present non-perturbative derivations of these identities, and consider the constraints they impose on the relationship between the self-energy and the two-particle scattering kernel.

Affiliated with

Also associated with

No associations

Rating

Ward Identities for Interacting Electronic Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Ward Identities for Interacting Electronic Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ward Identities for Interacting Electronic Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-38935