Negative Pressures in QED Vacuum in an External Magnetic Field

Details Negative Pressures in QED Vacuum in an External Magnetic Field Negative Pressures in QED Vacuum in an External Magnetic Field

2006-03-30

arxiv.org/abs/hep-ph/0603254v1

Int.J.Mod.Phys. A21 (2006) 3761-3770

Physics

High Energy Physics

High Energy Physics - Phenomenology

Scientific paper

10.1142/S0217751X06031715

Our aim is to study the electron-positron vacuum pressures in presence of a strong magnetic field $B$. To that end, we obtain a general energy-momentum tensor, depending on external parameters, which in the zero temperature and zero density limit leads to vacuum expressions which are approximation-independent. Anisotropic pressures arise, and in the tree approximation of the magnetic field case, the pressure along $B$ is positive, whereas perpendicular to $B$ it is negative. Due to the common axial symmetry, the formal analogy with the Casimir effect is discussed, for which in addition to the usual negative pressure perpendicular to the plates, there is a positive pressure along the plates. The formal correspondence between the Casimir and black body energy-momentum tensors is analyzed. The fermion hot vacuum behavior in a magnetic field is also briefly discussed.

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