Ab initio nonperturbative calculations in Yukawa model

Abstract

We give a brief review of a nonperturbative approach to field theory based on the decomposition of the state vector in Fock components, and on the covariant formulation of light-front dynamics, together with the Fock sector dependent renormalization scheme. The approach is applied to the calculation, in the three-body Fock space truncation, of electromagnetic form factors of a fermion in the Yukawa model (in particular, of anomalous magnetic moment). Once the renormalization conditions are properly taken into account, the anomalous magnetic moment does not depend on the regularization scale, when the latter is much larger than the physical masses.