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The quark Schwinger-Dyson equation in temporal Euclidean space
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SYSNO ASEP 0338994 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title The quark Schwinger-Dyson equation in temporal Euclidean space Author(s) Šauli, Vladimír (UJF-V) RID, SAI, ORCID
Batiz, Z. (PT)Source Title Journal of Physics G-Nuclear and Particle Physics. - : Institute of Physics Publishing - ISSN 0954-3899
Roč. 36, č. 3 (2009), 035002/1-035002/13Number of pages 13 s. Language eng - English Country GB - United Kingdom Keywords ANALYTIC PERTURBATION-THEORY ; DYNAMICAL SYMMETRY-BREAKING ; BACKGROUND FIELD METHOD Subject RIV BE - Theoretical Physics CEZ AV0Z10480505 - UJF-V (2005-2011) UT WOS 000263259300003 DOI 10.1088/0954-3899/36/3/035002 Annotation 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 QCD coupling 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. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2010
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