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On the Regularized Fermionic Projector of the Vacuum
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On the Regularized Fermionic Projector of the Vacuum
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We construct families of fermionic projectors with spherically symmetric regularization, which satisfy the condition of a distributional ${\mathcal{M}} P$-product. The method is to analyze regularization tails with a power-law or logarithmic scaling in composite expressions in the fermionic projector. The resulting regularizations break the Lorentz symmetry and give rise to a multi-layer structure of the fermionic projector near the light cone. The remaining freedom for the regularization parameters and the consequences for the normalization of the fermionic states are discussed.
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Cited by 1 Pith paper
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A Geometric Derivation of the Einstein Equations from the Causal Action Principle
Using osculating vacua, the authors derive Einstein's equations from the causal action principle, with the gravitational coupling identified as the square of the regularization length.
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