4th order similarity renormalization of a model hamiltonian

Details 4th order similarity renormalization of a model hamiltonian 4th order similarity renormalization of a model hamiltonian

1997-07-04

arxiv.org/abs/hep-th/9707057v1

Phys.Rev. D57 (1998) 4976-4980

Physics

High Energy Physics

High Energy Physics - Theory

plain latex, 9 pages

Scientific paper

10.1103/PhysRevD.57.4976

We study the similarity renormalization scheme for hamiltonians to the fourth order in perturbation theory using a model hamiltonian for fermions coupled to bosons. We demonstrate that the free finite parts of counterterms can be chosen in such a way that the T-matrix is covariant up to the fourth order and the eigenvalue equation for the physical fermion reduces to the Dirac equation. Through this choice, the systematic renormalization scheme reproduces the model solution originally proposed by G{\l}azek and Perry.

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