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• W2070574611 abstract "Using the Pauli–Villars regularization and arguments from convex analysis, we construct solutions to the classical time-independent Maxwell equations in Dirac’s vacuum, in the presence of small external electromagnetic sources. The vacuum is not an empty space, but rather a quantum fluctuating medium which behaves as a nonlinear polarizable material. Its behavior is described by a Dirac equation involving infinitely many particles. The quantum corrections to the usual Maxwell equations are nonlinear and nonlocal. Even if photons are described by a purely classical electromagnetic field, the resulting vacuum polarization coincides to first order with that of full Quantum Electrodynamics." @default.
• W2070574611 created "2016-06-24" @default.
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• W2070574611 date "2013-03-16" @default.
• W2070574611 modified "2023-10-10" @default.
• W2070574611 title "Construction of the Pauli–Villars-Regulated Dirac Vacuum in Electromagnetic Fields" @default.
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• W2070574611 doi "https://doi.org/10.1007/s00205-012-0609-1" @default.
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