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 ε=4−d, where d is the internal dimension d. We also give the full 2-point function up to order ε2, i.e. at 2-loop order.