Exact relativistic Green's functions for the time-independent potentials

Abstract

Relativistic formalism of Green's functions is dicussed in QCD and QED,where the relativistic Green's functions are constructed using the Schwinger proper time formalism and the Fock-Feynman-Schwinger method.As a result a simple and exact method is found for the relativistic systems,where the interaction can be written in a time-independent form.In this case one can write the relativistic Green's function as a one-dimensional integral of the corresponding nonrelativistic Green's function.The explicit example for the problem of a charge in the constant magnetic field is discussed in detail,and the exact agreement with the Schwinger relativistic form is demonstrated. A similar analysis is performed in the relativistiv Coulomb probem,supporting the accuracy of the proposed relativistic formalism.

24 pages,1 figure,new refs added

References in corpus (6)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• Mass spectra and Regge trajectories of light mesons in the relativistic quark model
• Decay constants of the heavy-light mesons from the field correlator method
• Spin-dependent interactions in quarkonia
• The sigma meson from QCD sum rules for large-$N_c$ Regge spectra
• Mass Formula for Light Nonstrange Mesons and Regge Trajectories in Quark Model

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