The quark Schwinger-Dyson equation in temporal Euclidean space
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F09%3A00338994" target="_blank" >RIV/61389005:_____/09:00338994 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
The quark Schwinger-Dyson equation in temporal Euclidean space
Original language description
We present an elementary non-perturbative method for obtaining Green's functions (GFs) for timelike momenta. We assume that there are no singularities in the second and fourth quadrants of the complex plane of space momentum components and perform a 3D analog of Wick rotation. This procedure defines Green's functions in a timelike Euclidean space. As an example we consider the quark propagator in QCD. While for weak coupling this method is obviously equivalent to perturbation theory, for a realistic QCDcoupling a complex part of the quark mass and renormalization wavefunction has been spontaneously generated even below the standard perturbative threshold. Therefore, our method favors a confinement mechanism based on the lack of real poles.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2009
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Physics G-Nuclear and Particle Physics
ISSN
0954-3899
e-ISSN
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Volume of the periodical
36
Issue of the periodical within the volume
3
Country of publishing house
GB - UNITED KINGDOM
Number of pages
13
Pages from-to
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UT code for WoS article
000263259300003
EID of the result in the Scopus database
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