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
Published inNuclear physics. B Vol. 932; pp. 540 - 588
Main Authors Wiese, Kay Jörg, Husemann, Christoph, Le Doussal, Pierre
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.07.2018
Elsevier
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Summary: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 performed using exact RG, and several other techniques, which allow us to resolve consistently the problems associated with the cusp of the renormalized disorder.
ISSN:0550-3213
1873-1562
DOI:10.1016/j.nuclphysb.2018.04.013