Radiation reaction in quantum field theory

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 66, Issue 10, 2002, Pages

  Higuchi, Atsushi ^a  

^a UNIVERSITY OF YORK   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; ELECTROMAGNETIC RADIATION; ENERGY; FORCE; MATHEMATICAL ANALYSIS; PARTICLE SIZE; QUANTUM THEORY; RADIATION;

EID: 2442577925     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.66.105004     Document Type: Article

References (24)

1. H.A. Lorentz, Theory of Electrons (Dover, New York, 1952).
2. P.A.M. Dirac, Proc. R. Soc. London A167, 148 (1938).
3. J.D. Jackson, Classical Electrodynamics (Wiley, New York, 1975).
4. F. Rohrlich, Classical Charged Particles (Addison-Wesley, Redwood City, CA, 1990).
5. G.N. Plass, Rev. Mod. Phys. 33, 37 (1961).
6. F. Rohrlich, Ann. Phys. (N.Y.) 13, 93 (1961).
7. A.D. Yaghjian, Relativistic Dynamics of a Charged Sphere (Springer, Berlin, 1992).
8. L.D. Landau and E.M. Lifshitz, The Classical Theory of Fields (Pergamon, Oxford, 1962).
9. E.E. Flanagan and R.M. Wald, Phys. Rev. D 54, 6233 (1996).
10. E. Poisson, “An introduction to the Lorentz-Dirac equation,” gr-qc/9912045.
11. E.J. Moniz and D.H. Sharp, Phys. Rev. D 10, 1133 (1974);
12. Phys. Rev. DE.J. MonizD.H. Sharp15, 2850 (1977).
13. Y. Nambu, Phys. Lett. 26B, 626 (1968).
14. L.S. Brown and D. Boulware, Phys. Rev. 172, 1628 (1968).
15. C. Itzykson and J.-B. Zuber, Quantum Field Theory (McGraw-Hill, New York, 1980).
16. B.L. Julia, “Dualities in the classical supergravity limits: Dualisations, dualities and a detour via 4k+2 dimensions,” in Cargèse 1997, Strings, branes and dualities, pp. 121–139, LPTENS-98-07, hep-th/9805083.
17. A. Higuchi, “Radiation reaction in quantum mechanics,” quant-ph/9812036.
18. M. Abraham, Theorie der Elektrizität (Springer, Leipzig, 1905), Vol. II.
19. L.I. Schiff, Quantum Mechanics (McGraw-Hill, New York, 1968).
20. H. Feshbach and F. Villars, Rev. Mod. Phys. 30, 24 (1958).
21. A.S. Davydov, Quantum Mechanics (Pergamon, Oxford, 1965).
22. The corresponding correction to the forward-scattering amplitude is of order (Formula presented) Since the imaginary part of (Formula presented) is of order (Formula presented) the correction to the potential does not have an imaginary part at leading order in (Formula presented)
23. The wave packet (68) is narrowest at (Formula presented) when the position is measured. One can make this wave packet more general so that the case considered here, which is more realistic, is included by changing the factor (Formula presented) to (Formula presented) with (Formula presented) The position shift will be unchanged with this modification.
24. Since the second term in Eq. (17) is the lowest-order term in (Formula presented) that grows linearly in (Formula presented) the fact that it is much larger than the first term, which is of lower order in (Formula presented) does not imply that our approximation breaks down since the latter is independent of (Formula presented)