Field Theory of Disordered Elastic Interfaces at 3-Loop Order: Critical Exponents and Scaling Functions

Abstract

For disordered elastic manifolds in the ground state (equilibrium) we obtain the critical exponents for the roughness and the correction-to-scaling up to 3-loop order, i.e. third order in $\epsilon =4-d$, where $d$ is the internal dimension $d$. We also give the full 2-point function up to order ${\epsilon }^2$, i.e. at 2-loop order.

v1: 74 pages, 88 figures; v2: paper split into to parts; v3: typos corrected and hyper-ref enabled