Pion observables calculated in Minkowski and Euclidean spaces with Ansätze for quark propagators

Kekez, Dalibor; Klabučar, Dubravko (2023) Pion observables calculated in Minkowski and Euclidean spaces with Ansätze for quark propagators. Physical Review D, 107 . ISSN 2470-0010

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Abstract

We study two quark-propagator meromorphic Ansätze that admit a clear connection between calculations in Euclidean space and Minkowski spacetime. The connection is established through a modified Wick rotation in momentum space, where the integration contour along the imaginary axis is adequately deformed. The Ansätze were previously proposed in the literature and fitted to Euclidean lattice QCD data. The generalized impulse approximation is used to calculate the pion transition form factor and electromagnetic form factor, correcting an earlier result. The pion decay constant and distribution amplitude are also calculated. The latter is used to deduce the asymptotic behavior of the form factors. Such an asymptotic behavior is compared with those obtained directly from the generalized impulse approximation and the causes of differences are pointed out.

Item Type:	Article
Uncontrolled Keywords:	Nonperturbative effects in field theory; Photon & charged-lepton interactions with hadrons; Quantum chromodynamics; Pions; Form factors
Subjects:	NATURAL SCIENCES > Physics
Divisions:	Division of Experimental Physics
Depositing User:	Josipa Karadžole
Date Deposited:	23 Mar 2026 15:12
URI:	http://fulir.irb.hr/id/eprint/11409
DOI:	10.1103/PhysRevD.107.094025

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