A Construction of an Effective Hamiltonian from Feynman Diagrams: Application to the Light-Front Yukawa Model

Details A Construction of an Effective Hamiltonian from Feynman Diagrams: Application to the Light-Front Yukawa Model A Construction of an Effective Hamiltonian from Feynman Diagrams: Application to the Light-Front Yukawa Model

2000-04-14

arxiv.org/abs/hep-th/0004110v5

Prog.Theor.Phys. 106 (2001) 99-130

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, 22 figures, PTPTeX

Scientific paper

10.1143/PTP.106.99

We study a similarity transformation to construct an effective Hamiltonian systematically, which does not contain particle-number-changing interactions, by means of Fukuda-Sawada-Taketani-Okubo's method. We show that such Hamiltonian can be constructed from Feynman diagrams and give rules for constructing it in the Light-Front Yukawa model. We prove that it is renormalized by the familiar covariant perturbative renormalization procedure. It is very advantageous that the effective Hamiltonian can be obtained from our rules {\em immediately}. We also numerically diagonalize it to the second order in the coupling constant as an exercise.

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