Renormalization of Hamiltonians

Details Renormalization of Hamiltonians Renormalization of Hamiltonians

1997-06-21

arxiv.org/abs/hep-th/9706149v1

Physics

High Energy Physics

High Energy Physics - Theory

latex file including 2 figures, 7 pages, uses l-school.sty of the Les Houches schools

Scientific paper

A matrix model of an asymptotically free theory with a bound state is solved using a perturbative similarity renormalization group for hamiltonians. An effective hamiltonian with a small width, calculated including the first three terms in the perturbative expansion, is projected on a small set of effective basis states. The resulting small hamiltonian matrix is diagonalized and the exact bound state energy is obtained with accuracy of order 10%. Then, a brief description and an elementary illustration are given for a related light-front Fock space operator method which aims at carrying out analogous steps for hamiltonians of QCD and other theories.

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