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arXiv · 1801.08483

Field Theory of Disordered Elastic Interfaces at 3-Loop Order: The $β$-Function

Kay Joerg Wiese·Christoph Husemann·Pierre Le Doussal
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Abstract

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.

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Kay Joerg Wiese, Christoph Husemann, Pierre Le Doussal. 2018-07-20. Field Theory of Disordered Elastic Interfaces at 3-Loop Order: The $β$-Function. https://doi.org/10.1016/j.nuclphysb.2018.04.013

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