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

Scientific paper - Original scientific paper

• Author: D. Kekez
• Author: D. Klabučar
• Author's institution: University of Zagreb; Faculty of Science; (Department of Physics)
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract (english)

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.

• Keywords (english): Euclidean space; Minkowski spacetime; quark propagator
• Language: english
• Publication type: Scientific paper - Original scientific paper
• Publication status: Published
• Peer review: Peer review - international
• Publication version: Published version
• Journal title: Physical Review D
• Numbering: vol. 107, no. 9, 094025
• p-ISSN: 2470-0010
• e-ISSN: 2470-0029
• DOI: https://doi.org/10.1103/PhysRevD.107.094025
• URN:NBN: urn:nbn:hr:217:600573
• Publication: 2023
• Document URL: https://link.aps.org/doi/10.1103/PhysRevD.107.094025
• Type of resource: Text
• Access conditions: Open access
• Public note: Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3. Received 4 June 2020; accepted 27 April 2023; published 22 May 2023. .
• Created on: 2024-07-22 11:45:41