Vacuum Radiation in $z=2$ Lifshitz QED
R. Bufalo, T. Cardoso e Bufalo
TL;DR
This paper investigates vacuum Cherenkov radiation within $z=2$ Lifshitz QED, highlighting how anisotropic scaling and higher derivatives influence the process and energy emission.
Contribution
It provides a detailed analysis of vacuum Cherenkov radiation in $z=2$ Lifshitz electrodynamics, emphasizing the role of improved ultraviolet behavior and renormalizable couplings.
Findings
Calculated the energy loss rate for a charge due to vacuum Cherenkov radiation.
Analyzed the emission spectrum of very soft photons in the Lifshitz QED framework.
Demonstrated the importance of anisotropic scaling in enabling the radiation process.
Abstract
We discuss in this paper the vacuum Cherenkov radiation in the Lifshitz electrodynamics. The improved ultraviolet behavior, in terms of higher spatial derivatives, and the renormalizable couplings, due to the time-space anisotropic scaling, present in the Lifshitz setting are extremely important in fulfilling the physical constraints in order to this vacuum process to happen. We evaluate in details the instantaneous rate of energy loss for a charge, and also analyze the emission of very soft photons in this framework.
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