Zitterbewegung in the Vicinity of the Lifshitz Four-Dimensional Black Hole

Аннотация

The Zitterbewegung (ZB) effect in space-time described by the Lifshitz four-dimensional black hole metric is considered. The Lifshitz black hole is taken with the dynamic exponent z = 2 and the flat topology in the cross section. Zitterbewegung is calculated based on the Dirac equation in a curved space-time. An analytical expression for the current has been obtained and analyzed.