Constructing Point Form Mass Operators from Interaction Lagrangians

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.

15 pages

References in corpus (4)

• Covariant axial form factor of the nucleon in a chiral constituent quark model
• Point Form Electrodynamics and the Gupta-Bleuler Formalism
• Local Current Operators for Arbitrary Spin Particles
• Point Form Electrodynamics and the Construction of Conserved Current Operators

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