Stability and decay of the Dirac vacuum in external gauge fields |
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Authors: | Michael Soffel Berndt Müller Walter Greiner |
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Affiliation: | Institut für Theorestische Physik der J.W. Goethe Universität Frankfurt, 6000 Frankfurt/Main, W.-Germany |
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Abstract: | We consider various gauge fields coupled to the free Dirac equation according to symmetry principles. The gauge fields are treated as classical, unquantized fields. Sufficiently strong time-independent fields may give rise to spontaneous particle creation and to the decay of the symmetric Dirac vacuum into a new ground state with broken symmetry. The vacuum stability of the Dirac field is studied for the cases of external electromagnetic (U(1)), gravitational (Poincaré group including torsion) and Yang-Mills (SU(2)) potentials. |
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