Dimensionally regularized Tsallis’ statistical mechanics and two-body Newton’s gravitation. (English) Zbl 1514.82027
Summary: Typical Tsallis’ statistical mechanics’ quantifiers like the partition function and the mean energy exhibit poles. We are speaking of the partition function \(\mathcal{Z}\) and the mean energy \(\langle\mathcal{U}\rangle \). The poles appear for distinctive values of Tsallis’ characteristic real parameter \(q\), at a numerable set of rational numbers of the \(q\)-line. These poles are dealt with dimensional regularization resources. The physical effects of these poles on the specific heats are studied here for the two-body classical gravitation potential.
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