Acceleration Radiation| Acceleration Radiation |
Bremsstrahlung
> s.a. electromagnetism; particle
effects; Stückelberg Mechanics.
* Idea: Radiation emitted by an
accelerated electric charge.
* Fields: If one solves the wave
equation in terms of advanced and retarded radiation fields, one can separate
AC:= \(1\over2\)(Areta + Aadva) , AR:= \(1\over2\)(Areta − Aadva) ;
The first one produces the Coulomb field, the second one is responsible for radiation reaction.
* Larmor equation: The rate of energy
loss for an accelerated non-relativistic charged particle is \({\rm d}E/{\rm d}t
= 2q^2({\rm d}v/{\rm d}t)^2/3c^3\).
* Examples: Synchrotron radiation.
* Issue in curved spacetime: When
a charge is in free fall in a gravitational field, does it radiate or not? The
answer is that a local detector, falling with it, would not detect radiation,
but a distant one not falling with it would.
@ General references: Holstein & Swift AJP(81)apr [elementary derivation];
Alexander & Gerlach PRD(91)gq/99;
Nakel PRP(94);
Matsas PLB(96)gq [Rindler space];
Chubykalo & Vlaev IJMPA(99)phy/98;
Harpaz & Soker GRG(98)gq,
FP(01);
Napolitano & Ragusa AJP(99)nov [arbitrary motion];
Leinaas ht/98 [electrons];
Shariati & Khorrami FPL(99)gq/00 [and the equivalence principle];
Peña et al PRD(05) [accelerated observers];
Huang & Lu FP(08) [exact expression];
Glass GRG(08) [rev];
Marino JPA(08) [non-radiating motions];
James et al PRE(11)-a1007 ['endpoint' formulation];
Iso et al PRD(11)-a1011 [and Unruh radiation];
Andersen et al PRL(12) [photon formation length];
Leonov EJP(12);
Landulfo et al a1709 [classical and quantum, Larmor and Unruh].
@ Larmor formula: in Eyges 72;
Ford & O'Connell PLA(91) [modification];
Cardoso et al PRD(07)ht [in higher dimensions];
Higuchi & Walker PRD(09)-a0908 [quantum corrections, scalar electrodynamics].
@ Uniformly accelerated charge:
Fulton & Rohrlich AP(60);
Singal GRG(95),
GRG(97)
[no radiation! – contrary to Parrott GRG(97)gq and consensus];
Parrott FP(02)gq/93 [and equivalence principle];
Almeida & Saa AJP(06)feb [and comoving observers];
Rowland EJP(10) [and Schott energy].
@ Synchrotron radiation: Unruh PRP(98)ht [in electron frame];
Aloisio & Blasi APP(02)ap,
APP(02)ap;
Margaritondo et al RNC(04) [applications];
Hannay & Jeffrey PRS(05) [electric field];
Athanasiou et al PRD(10)
+ Karch Phy(10) [from single quarks].
@ Extremely relativistic: Gerlach FP(03)gq;
Cardoso et al PRD(03)gq;
> s.a. scattering.
Other Mechanisms and Related Topics
> s.a. unruh effect \ radiation.
* Freely falling particle in a gravitational field:
An observer falling freely with the particle will not observe radiated electromagnetic waves,
but an observer with respect to whom the particle is accelerating will observe radiation.
@ Other mechanisms: Iso et al PRD(17)-a1704 [entanglement-induced quantum radiation].
@ In curved spacetime: DeWitt & DeWitt Phys(64);
Matsas GRG(94);
Parrott gq/93 [conformally flat spacetime],
GRG(97)gq;
Higuchi et al PRD(97)gq/96,
Harpaz & Soker GRG(04)phy/99 [static q];
Akhmedov et al PRD(10)-a1006 [free fall in de Sitter spacetime];
Grøn AJP-a1003
[energy conservation and Schott energy];
Unnikrishnan & Gillies IJMPD(14)-a1408 [remarks];
> s.a. quantum field theory effects in curved spacetime.
@ Accelerating dipole:
Power & Thirunamachandran PRS(01),
PRS(01);
Gerlach PRD(01) [violent acceleration].
@ Accelerated oscillator: Raine et al PRS(91);
Kim & Kim PRD(97);
Kim PRD(99)gq/98 [in scalar quantum field theory vacuum].
@ And self-force:
Hirayama & Hara PTP(00)gq/99;
Burko AJP(00)may-gq/99.
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