Functional Renormalization Group of Disordered Systems

  • Taiki HagaEmail author
Part of the Springer Theses book series (Springer Theses)


We review the functional renormalization group treatment in disordered systems. In this theory, one follows the flow of the whole functional form of the renormalized disorder correlator. We explain that its nonanalytic behavior leads to the breakdown of the dimensional reduction. As well-known examples, we derive the one-loop functional renormalization group equations for the random manifold and random field O(N) models, and discuss the properties of their fixed points.


Disordered systems Dimensional reduction Functional renormalization group Random manifold Random field O(N) model 


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© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Department of PhysicsKyoto UniversityKyotoJapan

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