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Beta Function Constraints from Renormalization Groups Flows in Spin Systems

1998/06/19 by Joao D. Correia, João D. G. Correia, Correia, Joao D.
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Condensed Matter (cond-mat) #FOS: Physical sciences #Quantum many-body systems #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9806229

LaTeX, 6 pages, no figures

arxiv created 1998/06/19 · openalex publication_date 1998/06/19 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Inspired by previous work on the constraints that duality imposes on beta functions of spin models, we propose a consistency condition between those functions and RG flows at different points in coupling constant space. We show that this consistency holds for a non self-dual model which admits an exact RG flow, but that it is violated when the RG flow is only approximate. We discuss the use of this deviation as a test for the ``goodness'' of proposed RG flows in complicated models, and the use of the proposed consistency in suggesting RG equations.

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