The counting of Nambu-Goldstone bosons in a non-Hermitian field theory
Ivan Arraut
TL;DR
This paper shows that in non-Hermitian field theories with spontaneous symmetry breaking, the count of Nambu-Goldstone bosons matches the number of conserved currents, simplifying the usual redundancies seen in Hermitian theories.
Contribution
It establishes a direct relation between Nambu-Goldstone bosons and conserved currents in non-Hermitian theories, removing redundancies present in Hermitian cases.
Findings
Number of Nambu-Goldstone bosons equals conserved currents
Redundancies in Hermitian theories are eliminated
Applicable to theories violating Lorentz symmetry
Abstract
We demonstrate that the number of Nambu-Goldstone bosons is always equal to the number of conserved currents inside the scenario of non-Hermitian field theories with spontaneous symmetry breaking. This eliminates the redundancies which normally appears in Hermitian field theories, specifically when the Lagrangian under analysis violates explicitly the Lorentz symmetry.
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