Optimization of perturbative similarity renormalization group for Hamiltonians with asymptotic freedom and bound states

Details Optimization of perturbative similarity renormalization group for Hamiltonians with asymptotic freedom and bound states Optimization of perturbative similarity renormalization group for Hamiltonians with asymptotic freedom and bound states

2002-10-11

arxiv.org/abs/hep-th/0210110v1

Phys.Rev. D67 (2003) 045001

Physics

High Energy Physics

High Energy Physics - Theory

6 pages of latex, 4 eps figures

Scientific paper

10.1103/PhysRevD.67.045001

A model Hamiltonian that exhibits asymptotic freedom and a bound state, is used to show on example that similarity renormalization group procedure can be tuned to improve convergence of perturbative derivation of effective Hamiltonians, through adjustment of the generator of the similarity transformation. The improvement is measured by comparing the eigenvalues of perturbatively calculated renormalized Hamiltonians that couple only a relatively small number of effective basis states, with the exact bound state energy in the model. The improved perturbative calculus leads to a few-percent accuracy in a systematic expansion.

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