On the renormalization of Hamiltonians

1998/11/17 by G. Alexanian, E. F. Moreno, E.F. Moreno · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #hep-th

paper · pdf · doi:10.1016/s0370-2693(99)00136-7

published as Phys.Lett. B450 (1999) 149-157 · 12 pages, LaTeX

arxiv created 1998/11/17 · openalex publication_date 1999/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

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 λϕ⁴ theory.

Citations

• Flow equations for QED in light front dynamics
• The renormalization group: Critical phenomena and the Kondo problem
• Schrödinger representation and Casimir effect in renormalizable quantum field theory

Cited by

• Renormalization of hamiltonian field theory; a non-perturbative and non-unitarity approach