Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-12-05
PoS LC2008:024,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
7 pages, 7 figures. Contribution to the proceedings of the Workshop: Light-Cone 2008, "Relativistic Nuclear and Particle Physi
Scientific paper
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.
Karmanov V. A.
Mathiot Jean-Francois
Smirnov Vladimir A.
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