Mathematics – Probability
Scientific paper
Dec 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991phrvd..44.3774a&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 44, Issue 12, 15 December 1991, pp.3774-3785
Mathematics
Probability
9
Scientific paper
It is known that classical charged point particles moving on geodesics of the conical spacetime of a cosmic string lose energy via bremsstrahlung radiation. We present the corresponding quantum-field-theoretical treatment of the bremsstrahlung process in terms of cylindrical modes. Because of the localized absence of these modes, a local description of bremsstrahlung is possible. We find that the bremsstrahlung is not well localized around the cosmic string: the corresponding radial distribution of the bremsstrahlung transition probability has an asymptotic r-1 radial falloff because of the significant soft-photon emission at arbitrarily large distances from the cosmic string. Correspondingly the total bremsstrahlung probability shows an infrared catastrophe. We give a physical interpretation of the catastrophe, based on the intuitive picture of quantum particles as probes with ``extensions'' approximately equal to their wavelengths, if they are massless, or to their Compton wavelengths if they are massive. Finally we give quantitative results for the total radiated energy. We show that they agree with the classical ones provided that the charged particles remain at distances from the string that are quite a bit larger than their Compton wavelength. For smaller distances the classical treatment is shown to break down.
Audretsch Jürgen
Economou Athanasios
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