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Durham University

Department of Mathematical Sciences


Publication details for Kasper Peeters

Kasper Peeters, Maciej Matuszewski & Marija Zamaklar (2018). Holographic meson decays via worldsheet instantons. Journal of High Energy Physics 2018(6): 83.

Author(s) from Durham


We study meson decays using instanton methods in two string
models. The first model is the old string model in flat space which
combines strings and massive particles and the second is the
holographic, Sakai-Sugimoto model. Using the old string model,
we reproduce the QCD formula for the probability of splitting of the
QCD flux tube derived by Casher-Neuberger-Nussinov (CNN). In the
holographic model we construct a string worldsheet instanton which
interpolates between a single and double string configuration, which
determines the decay from one to two dual mesonic particles. The
resulting probability for meson decay incorporates both the effects
of finite meson size as well as back-reaction of the produced quarks
on the QCD flux tube. In the limit of very large strings the
probability for a split reduces to the CNN formula. A byproduct of
our analysis is the analysis of the moduli space of a generic double
concentric Wilson loop with circles which are separated in the
holographic direction of the confining background.