Radiation of classical scalar fields from a point source: m → 0 limit of massive theory vs. m = 0 theory

✍ Scribed by Robert G Cawley

• Publisher: Elsevier Science
• Year: 1969
• Tongue: English
• Weight: 748 KB
• Volume: 54
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(69)90337-6

✦ Synopsis

Radiation of a massive classical scalar field from a point source is studied in the mass zero limit and compared with the radiation emitted in a mass zero theory. The total radiated energy momentum is the same in both theories, but the rate cannot be got in the massive theory. The massive theory admits a particle number-probability interpretation, and a speed distribution and energy distribution can be found. The energy distribution goes like ~-(~~+l) at high energies, the value of n depending on smoothness properties of the source world line. In the low w region it is proportional to w-i until (w -m)/m < 1, where a strong suppression factor proportional to V2 dominates. But despite this fact the radiated number diverges like log m-l owing to contributions from particles with energies O(m") but with ultrarelativistic speeds. Other interesting features have to do with speed distribution properties in the NI -+ 0 case.