Galilean limit of equilibrium relativistic mass distribution for indistinguishable events

Physics – High Energy Physics – High Energy Physics - Theory

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Report TAUP-2136-94

Scientific paper

10.1088/0305-4470/27/14/003

The relativistic distribution for indistinguishable events is considered in the mass-shell limit $m^2\cong M^2,$ where $M$ is a given intrinsic property of the events. The characteristic thermodynamic quantities are calculated and subject to the zero-mass and the high-temperature limits. The results are shown to be in agreement with the corresponding expressions of an on-mass-shell relativistic kinetic theory. The Galilean limit $c\rightarrow \infty ,$ which coincides in form with the low-temperature limit, is considered. The theory is shown to pass over to a nonrelativistic statistical mechanics of indistinguishable particles.

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