Abstract
We discuss in this paper the vacuum Cherenkov radiation in the $z=2$ 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.
Highlights
In the past decade we have witnessed an important era of precision experiments in both particle physics and astrophysics, which has deepened our understanding of the Standard Model of particle physics (SM) In addition to the experimental verification of several theoretical mechanisms and predictions of SM, physical phenomena that are not adequately explained by SM, the so-called physics beyond the Standard Model, have received attention and been scrutinized to great accuracy [1]
From the many possibilities to make contact with phenomena related to physics beyond the standard model, the most compelling ones are those proposals of violation of exact symmetries in field theories, that aim to make contact with Planck-scale physics
In this paper we examine the problem of energy loss for a charged particle in vacuum through the Cherenkov effect in the Lifshitz field theory framework [21], establishing an alternative point of view for previous Lorentz symmetry violation studies
Summary
In the past decade we have witnessed an important era of precision experiments in both particle physics and astrophysics, which has deepened our understanding of the Standard Model of particle physics (SM) In addition to the experimental verification of several theoretical mechanisms and predictions of SM, physical phenomena that are not adequately explained by SM, the so-called physics beyond the Standard Model, have received attention and been scrutinized to great accuracy [1]. Examine Lorentz violating effects in phenomenological analyses [22,23,24,25,26,27] The interest of this approach in the description of the problem of computing the rate of radiated energy by a charged particle is threefold: (i) the theory is constructed in such a way to have an improved ultraviolet behavior, we can show that the z 1⁄4 2 Lifshitz electrodynamics satisfies the vacuum Cherenkov effect kinematical constraint: the fermion group velocity exceeds the photon velocity for a given value of the three-momentum; (ii) this theory establish physical region in the phase space for this anomalous decay to happen; and (iii) this theory admit by construction the definition of only renormalizable interactions, this point will be very important in the computation of the rate of energy loss by a charge in the field theory approach. We shall mainly discuss the instantaneous emission of photons, but will present some general remarks about the emission of very soft photons in the Lifshitz framework
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