Volume 518 - The 42nd International Symposium on Lattice Field Theory (LATTICE2025) - Parallel Session Structure of hadrons and nuclei
Probing Instanton Dynamics in the Pion Vector Form Factor with Wilson Flow
V. Chahar
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Abstract
\[
\begin{aligned}
&\text{Instanton liquid model is believed to capture the main features of vacuum QCD dynamics. Recently,}\\
&\text{multiple predictions for hadron structure functions have been derived and compared with experimental}\\
&\text{measurements and lattice QCD calculations, finding a general agreement. In order to explore the}\\
&\text{precision of the instanton liquid model, one has to compare its predictions with non-perturbative}\\
&\text{simulations in a regime dominated by instanton dynamics.}\\[6pt]
&\text{This has been performed for two gluon-sensitive observables: the gluon Green's function and the}\\
&\text{strong running coupling constant~[1]. In this contribution, we propose to study a fermionic observable,}\\
&\text{the pion vector form factor, for which instanton liquid model predictions have been discussed in~[1].}\\
&\text{We use the Wilson flow to single out the dominant contribution from the instantons out of a lattice QCD}\\
&\text{configuration ensemble. We describe the details of our numerical setup, and some first, preliminary results.}\\[10pt]
&\textbf{References:}\\[4pt]
&\text{1. Wei-Yang Liu, Edward Shuryak, and Ismail Zahed, Phys.Rev. D109, 074029 (2024).}\\
&\text{doi:}\ \texttt{10.1103/PhysRevD.109.074029}
\end{aligned}
\]
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