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arXiv · 2202.12944

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

S. N. Vergeles
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Abstract

It was shown in work \cite{vergeles2021note} that in the theory of gravity coupled with the Dirac field, each state $|\lambda\rangle$ has its own twin $|\lambda;PT\rangle$, which is obtained by a discrete PT transformation. If in the state $|\lambda\rangle$ the Dirac sea is filled, then in the state $|\lambda;PT\rangle$ there is an "anti-Dirac" filling (in terms of the state $|\lambda\rangle$). 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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S. N. Vergeles. 2022-01-23. Domain wall between the Dirac sea and the "anti-Dirac sea". https://doi.org/10.1088/1361-6382%2Fac40e6

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