Comparison of quantum field perturbation theory for the light front with the theory in lorentz coordinates

Details Comparison of quantum field perturbation theory for the light front with the theory in lorentz coordinates Comparison of quantum field perturbation theory for the light front with the theory in lorentz coordinates

1999-01-22

arxiv.org/abs/hep-th/9901110v1

Theor.Math.Phys.112:1117-1130,1997; Teor.Mat.Fiz.112:399-416,1997

Physics

High Energy Physics

High Energy Physics - Theory

LaTex 2.09, 20 pages, 5 figures

Scientific paper

10.1007/BF02583044

The relationship between the perturbation theory in light-front coordinates and Lorentz-covariant perturbation theory is investigated. A method for finding the difference between separate terms of the corresponding series without their explicit evaluation is proposed. A procedure of constructing additional counter-terms to the canonical Hamiltonian that compensate this difference at any finite order is proposed. For the Yukawa model, the light-front Hamiltonian with all of these counter-terms is obtained in a closed form. Possible application of this approach to gauge theories is discussed.

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