Pressures and Energies of Vacuum in a Magnetic Field. Differences and Analogies with Casimir Effect

Mathematics – Logic

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Magnetic Fields, Quantum Electrodynamics, Cosmology, Elementary Particle Processes, Particle-Theory And Field-Theory Models Of The Early Universe, Specific Calculations

Scientific paper

We study the electron-positron vacuum in a strong magnetic field B in parallel with Casimir effect. Starting from the energy eigenvalues, anisotropic pressures are obtained in both magnetic field and Casimir cases. In the first case the pressure transversal to the field B is negative due to the effect of vacuum magnetization, whereas along B an usual positive pressure arises. Similarly, in addition to the usual negative Casimir pressure perpendicular to the plates, the existence of a positive pressure along the plates is predicted. By assuming regions of the universe having random orientation of the lines of force, cosmological consequences are discussed in the magnetic field case.

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