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

2002/12/31 by Amir H. Rezaeian, Niels R. Walet · 4 citations
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Field (mathematics) #Hamiltonian (control theory) #High-pressure geophysics and materials #Mathematical optimization #Mathematical physics #Mathematics #Non-perturbative #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Renormalization #Statistical physics #Unitarity #hep-ph #hep-th

paper · pdf · doi:10.1088/1126-6708/2003/12/040

published in Journal of High Energy Physics 2003(12), 040 (Springer Nature) · 16 pages, version shortened and improved, references added. To appear in JHEP

arxiv created 2003/12/17 · openalex publication_date 2003/12/17 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05

Abstract

Renormalization of Hamiltonian field theory is usually a rather painful algebraic or numerical exercise. By combining a method based on the coupled cluster method, analysed in detail by Suzuki and Okamoto, with a Wilsonian approach to renormalization, we show that a powerful and elegant method exist to solve such problems. The method is in principle non-perturbative, and is not necessarily unitary.

Citations

• The renormalization group and the ε expansion
• Exact renormalization group equations: an introductory review
• Initial studies of bound states in light-front QCD
• Flow equations for QED in light front dynamics
• The renormalization group: Critical phenomena and the Kondo problem
• On the renormalization of Hamiltonians
• Flow‐equations for Hamiltonians