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Article Dans Une Revue Nucl.Phys.B Année : 2018

Field theory of disordered elastic interfaces at 3-loop order: The $\beta$-function

Résumé

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.

Dates et versions

hal-01707537 , version 1 (12-02-2018)

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Kay Joerg Wiese, Christoph Husemann, Pierre Le Doussal. Field theory of disordered elastic interfaces at 3-loop order: The $\beta$-function. Nucl.Phys.B, 2018, 932, pp.540-588. ⟨10.1016/j.nuclphysb.2018.04.013⟩. ⟨hal-01707537⟩
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