Finite-temperature reaction-rate formula: Finite volume system, detailed balance, $T \to 0$ limit, and cutting rules

Details Finite-temperature reaction-rate formula: Finite volume system, detailed balance, $T \to 0$ limit, and cutting rules Finite-temperature reaction-rate formula: Finite volume system, detailed balance, $T \to 0$ limit, and cutting rules

1997-11-04

arxiv.org/abs/hep-ph/9711221v1

Phys.Rev. D57 (1998) 1379-1393

Physics

High Energy Physics

High Energy Physics - Phenomenology

35pages (text) plus 4pages (figures)

Scientific paper

10.1103/PhysRevD.57.1379

A complete derivation, from first principles, of the reaction-rate formula for a generic process taking place in a heat bath of finite volume is given. It is shown that the formula involves no finite-volume correction. Through perturbative diagrammatic analysis of the resultant formula, the detailed-balance formula is derived. The zero-temperature limit of the formula is discussed. Thermal cutting rules, which are introduced in previous work, are compared with those introduced by other authors.

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