Effective field theory of plasmas in a Podolsky-corrected photonic field

A theory for Abelian plasma permeated by photons has been developed considering QED generalized in Podolsky electrodynamics framework for consideration of higher order terms in electromagnetic theory. The theory traces out photonic degrees of freedom in plasma and accounts for plasma dynamics mediated by photons by calculated effective Hamiltonian. New modes of propagation have been predicted along with suppression of fields and collective behavior. Non-Markovian behavior is also discovered for plasma states and interactions in finite plasma system. This finds applicability in solid-state plasma, plasma confinement of magnetic and inertial nature, and laser-plasma interaction when theory is reduced to local interactions.