Regge theory and statistical mechanics
arXiv:cond-mat/0605225 · doi:10.1016/j.physletb.2006.05.019
Abstract
An interesting connection between the Regge theory of scattering, the Veneziano amplitude, the Lee-Yang theorems in statistical mechanics and nonextensive Renyi entropy is addressed. In this scheme the standard entropy and the Renyi entropy appear to be different limits of a unique mathematical object. This framework sheds light on the physical origin of nonextensivity. A non trivial application to spin glass theory is shortly outlined.
To appear on Physics Letters B. 10 pages, no figures, references added
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- Duality and Fisher zeros in the 2D Potts model on square lattice
- Sums over geometries and improvements on the mean field approximation