Nonperturbative calculations in truncated Fock space in LFD

Abstract

A non-perturbative approach based on the Fock decomposition of the state vector and its truncation is discussed. In order the non-perturbative renormalization procedure after truncation could eliminate infinities, it should be the sector dependent. We clarify the meaning of this procedure in a toy model. Then we demonstrate stability, relative to the increasing cutoff, of the anomalous magnetic moment found using the sector dependent renormalization scheme in Yukawa model.

6 pages, 2 figures, 2 tables. Contribution to the proceedings of the Workshop: Light-Cone 2013, Skiathos, Greece, May 20-24, 2013. To be published in Few-Body Systems

References in corpus (3)

• Systematic renormalization scheme in light-front dynamics with Fock space truncation
• Ab initio nonperturbative calculation of physical observables in light-front dynamics. Application to the Yukawa model
• Regularization of fermion self-energy and electromagnetic vertex in Yukawa model within light-front dynamics