Abstract
We explore a novel method of describing the radiation friction of particles traveling through a mechanically resistive medium. We introduce a particle motion induced matter warping along the path in a manner assuring that charged particle dynamics occurs subject to radiative energy loss described by the Larmor formula. We compare our description with the Landau-Lifshitz-like model for the radiation friction and show that the established model exhibits non-physical behavior. Our approach predicts in the presence of large mechanical friction an upper limit on radiative energy loss being equal to the energy loss due to the mechanical medium resistance. We demonstrate that mechanical friction due to strong interactions, for example of quarks in quark-gluon plasma, can induce significant soft photon radiation.
Highlights
We study the motion of particles subject to a covariant mechanical friction force (MFF) caused by the presence of a material medium
The terms exactly cancel when r pffiffiffi1ffiffiffiffiffiffiffiffiffi γ2 − 1. In such a case there is no radiation friction according to the LLL approach. We introduce this example of mechanical friction with the friction coefficient r depending inversely on momentum to present the singular case when radiation friction force disappears completely
We conclude that the conventional LAD radiation reaction combined with LLL reduction of the order of differentiation produces an unacceptable description of radiation friction in a material medium, even when the friction strength is an arbitrary function of relative velocity
Summary
We study the motion of particles subject to a covariant mechanical friction force (MFF) caused by the presence of a material medium. We expect that path warping method can help advance the generalization of our approach to the case of accelerated charged particle motion in vacuum, which motivates the introduction of this method in this work. The Lorentz-Abraham-Dirac (LAD) equation’s higher order derivative term was introduced to assure orthogonality of the equation of motion with respect to 4-velocity. III that for a particle decelerated in the medium the Landau-Lifshitz-like model of radiation friction predicts nonphysical behavior for particle motion This alone demonstrates the need to find another method to incorporate RR into in-medium particle dynamics. We briefly consider application of such a model for high energy particle collisions
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