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Using the non-relativistic effective field theory framework in a finitevolume, we discuss the extraction of the $\Delta N\gamma^*$ transition formfactors from lattice data. A counterpart of the L\"uscher approach for thematrix elements of unstable states is formulated. In particular, we thoroughlydiscuss various kinematic settings, which are used in the calculation of theabove matrix element on the lattice. The emerging L\"uscher-Lellouch factor andthe analytic continuation of the matrix elements into the complex plane arealso considered in detail. A full group-theoretical analysis of the problem ismade, including the partial-wave mixing and projecting out the invariant formfactors from data.

A framework for the calculation of the $\Delta N\gamma^*$ transition form factors on the lattice