The quark Schwinger-Dyson equation in temporal Euclidean space

0338994 - ÚJF 2010 RIV GB eng J - Článek v odborném periodiku
Šauli, Vladimír - Batiz, Z.
The quark Schwinger-Dyson equation in temporal Euclidean space.
Journal of Physics G-Nuclear and Particle Physics. Roč. 36, č. 3 (2009), 035002/1-035002/13. ISSN 0954-3899. E-ISSN 1361-6471
Výzkumný záměr: CEZ:AV0Z10480505
Klíčová slova: ANALYTIC PERTURBATION-THEORY * DYNAMICAL SYMMETRY-BREAKING * BACKGROUND FIELD METHOD
Kód oboru RIV: BE - Teoretická fyzika
Impakt faktor: 2.124, rok: 2009

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.
Trvalý link: http://hdl.handle.net/11104/0182630