Plasma modes in QED super-strong magnetic fields of magnetars and laser plasmas

Ultra-magnetized plasmas, where the magnetic field strength exceeds Schwinger of about BQ≈4×1013 G, become great scientific interest, thanks to current advances in laser-plasma experiments and astrophysical observations magnetar emission. These demand better understanding how quantum electrodynamics (QED) effects influence collective plasma phenomena. In particular, Maxwell's equations nonlinear strong-QED regime. Here we present “QED framework,” which will allow one systematically explore phenomena a QED-plasma with arbitrary strong field. Further, illustrate framework by exploring low-frequency modes ultra-magnetized, cold, electron-positron plasmas. We demonstrate that classical picture five branches holds QED regime; no new eigenmodes appear. The dispersion curves all are modified. include overall modification frequency, becomes field-dependent. They also modify resonances cutoffs modes, both field- angle-dependent. strongest (i) field-induced transparency for O-mode via dramatic reduction cutoff well below (ii) Alfvén mode suppression large-k regime resonance, (iii) slowdown angle-dependent increase index refraction. results should be important magnetospheric pair laboratory