Field Theory of Disordered Elastic Interfaces at 3-Loop Order: The $\beta$-Function
Disordered Systems and Neural Networks
2018-07-23 v2
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 -function to third order in , in an expansion in the dimension around the upper critical dimension . 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.
Cite
@article{arxiv.1801.08483,
title = {Field Theory of Disordered Elastic Interfaces at 3-Loop Order: The $\beta$-Function},
author = {Kay Joerg Wiese and Christoph Husemann and Pierre Le Doussal},
journal= {arXiv preprint arXiv:1801.08483},
year = {2018}
}
Comments
This is the first part of arXiv:1707.09802v1. The remaining part is in arXiv:1707.09802v2. 47 pages, 67 figures. v2: typos corrected and hyper-ref enabled