Electromagnetic response in strong magnetic fields. General formalism and vacuum polarization for parallel propagation

Abstract

A unified formalism appropriate for calculating the electromagnetic response of both an electron gas and the vacuum in an arbitrarily strong magnetic field is developed. The particular case of propagation parallel to the magnetic field in vacuum is discussed in detail in rhis paper and the full expression for the corresponding . . II,,,(~, w ) is obtained. The pole structures of the dynarnical polarizabilities related to n,,,(O,w) are examined and the existence of a singlet longitudinal massive photon ~nferred. The static, k-dependent. electr~c and magnetic polarizabilities of the vacuum are evaluated from n,,,(k?,0).

The Non-relativistic Charged Bose Gas in a Magnetic Field II. Quantum Properties

“…The magnetic properties can be determined by evaluating the diamagnetic tensor, which, in turn, can be obtained from the polarisation tensor as discussed in Refs. [3,42,43]. It is expected that the asymptotic expansions used in this paper will also be required in evaluating the diamagnetic behaviour in both the large and small magnetic field limits at T=0 K.…”

Pair-creation collective modes in an electron gas

“…Previous studies of the full (k, co)-dependent response function have mostly been restricted to the long-wavelength, low-frequency (relative to the rest mass) regime. For calculating the relativistic response, a Green-function method has been applied [7,8], but explicit results were shown only for the co=0 and k=O situations. Our calculations [1], which form the basis for this paper, have explicitly displayed the full (k, co)-dependent response function for a relativistic system.…”

“…The vacuum part II""(k, co) has been calculated for parallel propagation by Bakshi, Cover and Kalman [7]. It has two independent elements, II33 and II»=II&&, which are functions of the relativistic invariant cok .…”

“…The Fermi energy can be determined from the density n by inverting the relation e8 F n= pa+2 g p, 2K s=1 (7) where the sum extends over all s for which p, is real.…”

Quantum-Electrodynamical Photon Splitting in Magnetized Nonlinear Pair Plasmas

“…The latter is a result of photon splitting [8,9], and the process may be responsible for the radio silence of magnetars [5,10]. Moreover, the propagation of electromagnetic waves in a relativistically dense electron gas [11] and in a relativistic electron-positron gas [12] have been discussed, leading to the important effect of gamma photon capture and pair plasma suppression around pulsars [13].In this Letter, we present the nonlinear photon splitting of electromagnetic (EM) waves propagating perpendicularly to a strong external magnetic field B 0 in a pair plasma. Due to the QED effect [1], a photon in vacuum can decay into a backscattered and a forward scattered photon, where the latter two photons have polarizations perpendicular to that of the original photon [8,9].…”