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Variational wave equations of two fermions interacting via scalar, pseudoscalar, vector, pseudovector and tensor fields

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Duviryak A., Darewych J.

Open Physics

2005

vol. 3

issue 4

467-483

We consider a method for deriving relativistic two-body wave equations for fermions in the coordinate representation. The Lagrangian of the theory is reformulated by eliminating the mediating fields by means of covariant Green's functions. Then, the nonlocal interaction terms in the Lagrangian are reduced to local expressions which take into account retardation effects approximately. We construct the Hamiltonian and two-fermion states of the quantized theory, employing an unconventional “empty” vacuum state, and derive relativistic two-fermion wave equations. These equations are a generalization of the Breit equation for systems with scalar, pseudoscalar, vector, pseudovector and tensor coupling.

Analysis of inter-quark interactions in classical chromodynamics

100%

Darewych J., Duviryak A.

Open Physics

2013

vol. 11

issue 3

336-344

The QCD gluon equation of motion is solved approximately by means of a Green function. This solution is used to reformulate the Lagrangian of QCD such that the gluon propagator appears directly in the interaction terms of the Lagrangian. The nature of the interactions is discussed. A coordinate-space form of the interactions is presented and analyzed in the static, non-relativistic case.

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2 Open Physics

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1 2005

2 Darewych J.

2 Duviryak A.

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Variational wave equations of two fermions interacting via scalar, pseudoscalar, vector, pseudovector and tensor fields

Analysis of inter-quark interactions in classical chromodynamics