Timelike behavior of the pion electromagnetic form factor in the functional formalism
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F22%3A00563399" target="_blank" >RIV/61389005:_____/22:00563399 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1103/PhysRevD.106.034030" target="_blank" >https://doi.org/10.1103/PhysRevD.106.034030</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevD.106.034030" target="_blank" >10.1103/PhysRevD.106.034030</a>
Alternative languages
Result language
angličtina
Original language name
Timelike behavior of the pion electromagnetic form factor in the functional formalism
Original language description
The electromagnetic form factor of the pion is calculated within the use of functional formalism. We develop integral representation for the minimal set of Standard Model Green's functions and derive the dispersion relation for the form factor in the two-flavor QCD isospin limit m(u) = m(d). We use the dressed quark propagator as obtained from the gap equation in Minkowski space and within the Dyson-Schwinger equations formalism to derive the approximate dispersion relation for the form factor for the first time. We evaluate the form factor for the spacelike as well as for the timelike momentum in the presented formalism. A new Nakanishi-like form of integral representation is proved on the basis of the vector BetheSalpeter equation for the quark-photon vector with a ladder-rainbow kernel. The gauge technique turns out to be a part of the entire structure of the vertex. In the analytic approach presented here, it is shown that a large amount of the p-meson peak in the cross section e(+) e(-) -> pi(+) pi(-) is governed by the gauge invariance of QED/QCD-i.e., by a gauge-technique-constructed quark-photon vertex. This approximation naturally explains the broad shape of the rho-meson peak.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10303 - Particles and field physics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review D
ISSN
2470-0010
e-ISSN
2470-0029
Volume of the periodical
106
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
21
Pages from-to
034030
UT code for WoS article
000872136400005
EID of the result in the Scopus database
2-s2.0-85136929398