Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-03-30
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.
Pérez Rojas H.
Querts Rodriguez E.
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