Exclusive processes in position space and the pion distribution amplitude
By V. Braun, D. Müller. 2007
178 citations recorded by the source corpus.
We suggest to carry out lattice calculations of current correlators in position space, sandwiched between the vacuum and a hadron state (e.g. pion), in order to access hadronic light-cone distribution amplitudes (DAs). In this way the renormalization problem for composite lattice operators is avoided altogether, and the connection to the DA is done using perturbation theory in the continuum. As an example, the correlation function of two electromagnetic currents is calculated to the next-to-next-to-leading order accuracy in perturbation theory and including the twist-four corrections. We argue that this strategy is fully competitive with direct lattice measurements of the moments of the DA, defined as matrix elements of local operators, and offers new insight in the space-time picture of hard exclusive reactions.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/6eafdf83e41cc6fa17be2d458375a45051dc172c
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In Nuclear and High Energy Physics
Citations in the corpus
- A Guide to Light-Cone PDFs from Lattice QCD: An Overview of Approaches, Techniques, and Results (2018, background): “Instead of an auxiliary heavy quark, one can also use an auxiliary light quark [69] (see also Sec.”
- Novel quark smearing for hadrons with high momenta in lattice QCD (2016, background): “[12] Vladimir Braun and Dieter Müller, “Exclusive processes in position space and the pion distribution amplitude,” Eur.”