Using the language of quantum field theory, we present a concise derivation for the electromagnetic vector potential A,. which is valid for an anisotropic superstrong magnetoactive electron plasma. It is shown that the expression for the vector potential A, can be reduced to various known limits. Applications to important problems in astrophysics are briefly discussed. The relevance of our result to the recent development of the collective interaction between intense neutrino fluxes and stellar plasmas is briefly stressed. [S1063-651X(99)09311-3].
