Note on ultraviolet renormalization and ground state energy of the Nelson model

2015/07/19 by Fumio Hiroshima, Hiroshima, Fumio
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1507.05302

openalex publication_date 2015/07/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Ultraviolet (UV) renormalization of the Nelson model in quantum field theory is considered. A relationship between a ultraviolet renormalization term and the ground state energy of the Hamiltonian with total momentum zero is studied by functional integrations.

Related

• Translation invariant models in QFT without ultraviolet cutoffs
• Ultraviolet Renormalization of the Nelson Hamiltonian through Functional Integration
• The Massless Nelson Hamiltonian and its Domain
• Renormalization of Hamiltonians in the Light-Front Fock Space
• Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach