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29 March 2024
 
  » arxiv » hep-th/0004110

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A Construction of an Effective Hamiltonian from Feynman Diagrams: Application to the Light-Front Yukawa Model
Yuki Yamamoto ;
Date 14 Apr 2000
Journal Prog.Theor.Phys. 106 (2001) 99-130
Subject hep-th
AffiliationKyushu Univ.
AbstractWe 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.
Source arXiv, hep-th/0004110
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