Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-06-10
J.Phys.G30:739-758,2004
Physics
High Energy Physics
High Energy Physics - Phenomenology
23 pages, 4 figures, v4: revised and extended version, one introductory section added
Scientific paper
10.1088/0954-3899/30/6/005
Simple toy model is used in order to exhibit the technique of extracting the non-perturbative information about Green's functions in Minkowski space. The effective charge and the dynamical electron mass are calculated in strong coupling 3+1 QED by solving the coupled Dyson-Schwinger equations for electron and photon propagators. The minimal Ball-Chiu vertex was used for simplicity and we impose the Landau gauge fixing on QED action. The solution obtained separately in Euclidean and Minkowski space were compared, the latter one was extracted with the help of spectral technique.
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