Domain wall between the Dirac sea and the "anti-Dirac sea"

preprint2022arXivOpen access

Abstract

It was shown in work \cite{vergeles2021note} that in the theory of gravity coupled with the Dirac field, each state ∣λ⟩|λ\rangle has its own twin ∣λ;PT⟩|λ;PT\rangle, which is obtained by a discrete PT transformation. If in the state ∣λ⟩|λ\rangle the Dirac sea is filled, then in the state ∣λ;PT⟩|λ;PT\rangle there is an "anti-Dirac" filling (in terms of the state ∣λ⟩|λ\rangle). It is important that the energies of these states are the same. Therefore, there may be domains with different filling of the Dirac sea. Here we study a domain wall connecting two such adjacent domains.

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