Beta Function Constraints from Renormalization Groups Flows in Spin Systems

Details Beta Function Constraints from Renormalization Groups Flows in Spin Systems Beta Function Constraints from Renormalization Groups Flows in Spin Systems

1998-06-19

arxiv.org/abs/cond-mat/9806229v1

Physics

Condensed Matter

LaTeX, 6 pages, no figures

Scientific paper

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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