Information Geometry and the Renormalization Group

Autor:	Maity, Reevu, Mahapatra, Subhash, Sarkar, Tapobrata
Rok vydání:	2015
Předmět:	Condensed Matter - Statistical Mechanics High Energy Physics - Theory
Zdroj:	Phys. Rev. E 98, 052112 (2018)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevE.98.052112
Popis:	Information theoretic geometry near critical points in classical and quantum systems is well understood for exactly solvable systems. Here we show that renormalization group flow equations can be used to construct the information metric and its associated quantities near criticality, for both classical and quantum systems, in an universal manner. We study this metric in various cases and establish its scaling properties in several generic examples. Scaling relations on the parameter manifold involving scalar quantities are studied, and scaling exponents are identified. The meaning of the scalar curvature and the invariant geodesic distance in information geometry is established and substantiated from a renormalization group perspective. Comment: 1 + 20 Pages, LaTeX. References added, Discussions improved. Version accepted in Phys. Rev. E
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1503.03978 Zobrazit plný text záznamu View this record from Arxiv