Abstract
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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Glazek, S.D. (1998). Renormalization of Hamiltonians. In: Grangé, P., Neveu, A., Pauli, H.C., Pinsky, S., Werner, E. (eds) New Non-Perturbative Methods and Quantization on the Light Cone. Centre de Physique des Houches, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-08973-6_2
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DOI: https://doi.org/10.1007/978-3-662-08973-6_2
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