出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：Within the covariant formulation of light-front dynamics, we calculate the state vector of a
fermion coupled to identical scalar bosons (the Yukawa model). The state vector is decomposed
in Fock sectors and we consider the first three ones: a single fermion, a fermion coupled to one
boson, and a fermion coupled to two bosons. This last three-body sector generates nontrivial and
nonperturbative contributions to the state vector, and these contributions are calculated with no
approximations. The divergences of the amplitudes are regularized using Pauli-Villars fermion
and boson fields. Physical observables can be unambiguously deduced using a systematic renormalization
scheme we developed. This renormalization scheme is a necessary condition in order
to avoid uncancelled divergences when Fock space is truncated. As an example, we present
preliminary numerical results for the anomalous magnetic moment of a fermion in the Yukawa
model.
