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We study the semi-inclusive production of real, high-$p_T$, isolated photonsin unpolarized and polarized lepton-proton collisions, $\ell p\to \ell\gammaX$. In particular we analyze the transverse nucleon single-spin asymmetrywithin the collinear twist-3 formalism in perturbative QCD to leading order(LO) accuracy. We find that this spin asymmetry is generated by twist-3dynamical quark-gluon-quark ($qgq$) correlations in the nucleon through theso-called soft-fermion and hard pole contributions. Hence, this processunprecedentedly allows for a point-by-point scan of the support of thedynamical $qgq$ twist-3 matrix elements $F_{FT}(x,x^\prime)$ and$G_{FT}(x,x^\prime)$ in lepton-nucleon scattering experiments.

The transverse nucleon single-spin asymmetry for the semi-inclusive production of photons in lepton-nucleon scattering