info:eu-repo/semantics/article
Dimensionally regularized Boltzmann–Gibbs statistical mechanics and two-body Newton's gravitation
Fecha
2018-08Registro en:
Zamora, Darío Javier; Rocca, Mario Carlos; Plastino, Ángel Luis; Ferri, Gustavo Luis; Dimensionally regularized Boltzmann–Gibbs statistical mechanics and two-body Newton's gravitation; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 503; 8-2018; 793-799
0378-4371
CONICET Digital
CONICET
Autor
Zamora, Darío Javier
Rocca, Mario Carlos
Plastino, Ángel Luis
Ferri, Gustavo Luis
Resumen
It is believed that the canonical gravitational partition function Z associated to the classical Boltzmann–Gibbs (BG) distribution [Formula presented] cannot be constructed because the integral needed for building up Z includes an exponential and thus diverges at the origin. We show here that, by recourse to (1) the analytical extension treatment obtained for the first time ever, by Gradshteyn and Rizhik, via an appropriate formula for such case and (2) the dimensional regularization approach of Bollini and Giambiagi's (DR), one can indeed obtain finite gravitational results employing the BG distribution. The BG treatment is considerably more involved than its Tsallis counterpart. The latter needs only dimensional regularization, the former requires, in addition, analytical extension.