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2016

Matrix elements from moments of correlation functions

Bouchard, Chris, Chang, Chia Cheng, Orginos, Kostas et al.

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Momentum-space derivatives of matrix elements can be related to their coordinate-space moments through the Fourier transform.

We derive these expressions as a function of momentum transfer $Q^2$ for asymptotic in/out states consisting of a single hadron.
We calculate corrections to the finite volume moments by studying the spatial dependence of the lattice correlation functions.
This method permits the computation of not only the values of matrix elements at momenta accessible on the lattice, but also the momentum-space derivatives, providing {\it a priori} information about the $Q^2$ dependence of form factors.

Matrix elements from moments of correlation functions · Around

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