vix.ing · top · new · best · stats · spec

Constructing point form mass operators from vertex interactions

2000/12/31 by W. H. Klink · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #nucl-th

paper · pdf · doi:10.1016/s0375-9474(02)01406-9

published as Nucl.Phys. A716 (2003) 123-135 · 15 pages

arxiv created 2002/09/20 · openalex publication_date 2003/02/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Starting from an interaction Lagrangian formed out of local fields, an interacting four-momentum operator is constructed by integrating the interaction Lagrangian over the forward hyperboloid. Such a four-momentum operator has the property that the components commute among themselves; however, when the Fock space on which the four-momentum operator acts is truncated, the components no longer commute among themselves. By modifying matrix elements of the four-momentum operator on the truncated space, Bakamjian-Thomas mass operatorsare constructed which restore the Poincare relations. Examples for a simple Lagrangian are given.

Citations

Cited by