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The quark Schwinger-Dyson equation in temporal Euclidean space
- 1.0338994 - ÚJF 2010 RIV GB eng J - Journal Article
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
Institutional research plan: CEZ:AV0Z10480505
Keywords : ANALYTIC PERTURBATION-THEORY * DYNAMICAL SYMMETRY-BREAKING * BACKGROUND FIELD METHOD
Subject RIV: BE - Theoretical Physics
Impact factor: 2.124, year: 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.
Permanent Link: http://hdl.handle.net/11104/0182630
Number of the records: 1