Field theory of disordered elastic interfaces at 3-loop order: The β-function

We calculate the effective action for disordered elastic manifolds in the ground state (equilibrium) up to 3-loop order. This yields the renormalization-group β-function to third order in ε=4−d, in an expansion in the dimension d around the upper critical dimension d=4. The calculations are performe...

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Bibliographic Details
Main Authors: Kay Jörg Wiese, Christoph Husemann, Pierre Le Doussal
Format: Article
Language:English
Published: Elsevier 2018-07-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321318301044