Classical Larmor formula through the Unruh effect for uniformly accelerated electrons

Georgios Vacalis; Atsushi Higuchi; Robert Bingham; Gianluca Gregori

doi:10.1103/PhysRevD.109.024044

Classical Larmor formula through the Unruh effect for uniformly accelerated electrons

Georgios Vacalis^*, Atsushi Higuchi, Robert Bingham, Gianluca Gregori

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate the connection between the classical Larmor formula and the quantum Unruh effect by computing the emitted power by a uniformly accelerated charged particle and its angular distribution in the co-accelerated frame. We consider a classical particle accelerated with non-zero charge only for a finite period and then take the infinite-time limit after removing the effects due to the initial charging and final discharging processes. We show that the result found for the interaction rates agrees with previous studies in which the period of acceleration with non-zero charge was taken to be infinite from the beginning. We also show that the power and angular distribution of emission, which is attributed either to the emission or absorption of a Rindler photon in the co-accelerated frame, is given by the Larmor formula, confirming that, at tree level, it is necessary to take into account the Unruh effect in order to reproduce the classical Larmor radiation formula in the co-accelerated frame.

Original language	English
Article number	024044
Number of pages	10
Journal	Physical Review D
Volume	109
DOIs	https://doi.org/10.1103/PhysRevD.109.024044
Publication status	Published - 25 Jan 2024

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Classical Larmor formula through the Unruh effect for uniformly accelerated electronsFinal published version, 287 KBLicence: CC BY

Cite this

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title = "Classical Larmor formula through the Unruh effect for uniformly accelerated electrons",

abstract = "We investigate the connection between the classical Larmor formula and the quantum Unruh effect by computing the emitted power by a uniformly accelerated charged particle and its angular distribution in the co-accelerated frame. We consider a classical particle accelerated with non-zero charge only for a finite period and then take the infinite-time limit after removing the effects due to the initial charging and final discharging processes. We show that the result found for the interaction rates agrees with previous studies in which the period of acceleration with non-zero charge was taken to be infinite from the beginning. We also show that the power and angular distribution of emission, which is attributed either to the emission or absorption of a Rindler photon in the co-accelerated frame, is given by the Larmor formula, confirming that, at tree level, it is necessary to take into account the Unruh effect in order to reproduce the classical Larmor radiation formula in the co-accelerated frame.",

author = "Georgios Vacalis and Atsushi Higuchi and Robert Bingham and Gianluca Gregori",

year = "2024",

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doi = "10.1103/PhysRevD.109.024044",

language = "English",

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T1 - Classical Larmor formula through the Unruh effect for uniformly accelerated electrons

AU - Vacalis, Georgios

AU - Higuchi, Atsushi

AU - Bingham, Robert

AU - Gregori, Gianluca

PY - 2024/1/25

Y1 - 2024/1/25

N2 - We investigate the connection between the classical Larmor formula and the quantum Unruh effect by computing the emitted power by a uniformly accelerated charged particle and its angular distribution in the co-accelerated frame. We consider a classical particle accelerated with non-zero charge only for a finite period and then take the infinite-time limit after removing the effects due to the initial charging and final discharging processes. We show that the result found for the interaction rates agrees with previous studies in which the period of acceleration with non-zero charge was taken to be infinite from the beginning. We also show that the power and angular distribution of emission, which is attributed either to the emission or absorption of a Rindler photon in the co-accelerated frame, is given by the Larmor formula, confirming that, at tree level, it is necessary to take into account the Unruh effect in order to reproduce the classical Larmor radiation formula in the co-accelerated frame.

AB - We investigate the connection between the classical Larmor formula and the quantum Unruh effect by computing the emitted power by a uniformly accelerated charged particle and its angular distribution in the co-accelerated frame. We consider a classical particle accelerated with non-zero charge only for a finite period and then take the infinite-time limit after removing the effects due to the initial charging and final discharging processes. We show that the result found for the interaction rates agrees with previous studies in which the period of acceleration with non-zero charge was taken to be infinite from the beginning. We also show that the power and angular distribution of emission, which is attributed either to the emission or absorption of a Rindler photon in the co-accelerated frame, is given by the Larmor formula, confirming that, at tree level, it is necessary to take into account the Unruh effect in order to reproduce the classical Larmor radiation formula in the co-accelerated frame.

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