Multifractality in directed percolation

Using renormalization group methods we study multifractality in directed percolation. Our approach is based on random lattice networks consisting of resistor-like and diode-like bonds with microscopic noise. These random resistor diode networks capture the features of isotropic as well as directed percolation. In this note we introduce a field-theoretic Hamiltonian for the multifractal properties at the transition from the non-percolating to the directed percolating phase. We investigate the multifractal moments of the current distribution and determine a family of critical exponents for these moments to two-loop order.