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On the renormalization of Hamiltonians

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Mar 1999Embargo end date: 01 Jan 1998Publisher:AIPJournal:AIP Conference Proceedings, volume 541, pages 168-177 (issn: 0094-243X,

Authors: G. Alexanian; Enrique Moreno;

doi: 10.1063/1.1328913 , 10.1016/s0370-2693(99)00136-7 , 10.48550/arxiv.hep-th/9811158

arXiv: http://arxiv.org/abs/hep-th/9811158

On the renormalization of Hamiltonians

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Abstract

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 $��^4$ theory.

12 pages, LaTeX

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Keywords

High Energy Physics - Theory, High Energy Physics - Theory (hep-th), FOS: Physical sciences

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