On the Renormalization of Hamiltonians

Details On the Renormalization of Hamiltonians On the Renormalization of Hamiltonians

1998-11-17

arxiv.org/abs/hep-th/9811158v1

Phys.Lett. B450 (1999) 149-157

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LaTeX

Scientific paper

10.1016/S0370-2693(99)00136-7

We introduce a novel method for the renormalization of the Hamiltonian operator in Quantum Field Theory in the spirit of the Wilson renormalization group. By a series of unitary transformations that successively decouples the high-frequency degrees of freedom and partially diagonalizes the high-energy part, we obtain the effective Hamiltonian for the low energy degrees of freedom. We successfully apply this technique to compute the 2-loop renormalized Hamiltonian in scalar $\lambda \phi^4$ theory.

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