Abstract
Long-range interactions, such as electromagnetism and gravitation, lead to exchanges of angular momentum and other observables which may persist indefinitely after scattering. These exchanges modify the Lorentz transformation properties of observables associated with the particles coming out of a scattering event. In particular, if the scattering occurs in the presence of a momentum-analyzing magnet of strength $e{a}^{\ensuremath{-}2}$, one can expect failures of covariance in spin and momentum of order ${(\frac{{r}_{\mathrm{cl}}}{a})}^{2}{\ensuremath{\beta}}^{\ensuremath{-}3}$, where ${r}_{\mathrm{cl}}$ is the classical electron radius and $\ensuremath{\beta}$ is the relative velocity of the scattering particles. Without the external field we find linear momentum, helicity, and charge transform properly but total angular momentum (probably not directly measurable) does not. This last result is connected with the infrared catastrophe.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
