The paper argues that inverse Radon reconstruction requires complex direct Radon images and proposes a partial Fourier transform trick plus a claimed holonomy effect to generate that complexity.
Inverse Radon transform and the transverse-momentum dependent functions
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abstract
We revisit the standard representation of the (inverse) Radon transform which is well-known in the mathematical literature. We extend this representation to the case involving the parton distributions. We have found the new additional contribution which is essentially related to the generalized transverse-momentum dependent parton distribution and double-distribution functions. We discuss the possible relationship of this term with the Sivers function.
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Complexity of Radon transforms
The paper argues that inverse Radon reconstruction requires complex direct Radon images and proposes a partial Fourier transform trick plus a claimed holonomy effect to generate that complexity.