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