Nonperturbative calculation of the anomalous magnetic moment in the Yukawa model within truncated Fock space

Abstract

Within the covariant formulation of light-front dynamics, we calculate the state vector of a physical fermion in the Yukawa model. The state vector is decomposed in Fock sectors and we consider the first three ones: the single constituent fermion, the constituent fermion coupled to one scalar boson, and the constituent fermion coupled to two scalar bosons. This last three-body sector generates nontrivial and nonperturbative contributions to the state vector, which are calculated numerically. Field-theoretical divergences are regularized using Pauli-Villars fermion and boson fields. Physical observables can be unambiguously deduced using a systematic renormalization scheme we have developed previously. As a first application, we consider the anomalous magnetic moment of the physical fermion.

24 pages, 16 figures

References in corpus (3)

• Systematic renormalization scheme in light-front dynamics with Fock space truncation
• Regularization of fermion self-energy and electromagnetic vertex in Yukawa model within light-front dynamics
• Restoration of the chiral limit in Pauli-Villars-regulated light-front QED

Cited by in corpus (26)

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• A first nonperturbative calculation in light-front QED for an arbitrary covariant gauge
• Nonperturbative solution of scalar Yukawa model in two- and three-body Fock space truncations
• Basis Light-Front Quantization for a Chiral Nucleon-Pion Lagrangian
• Renormalized Light Front Hamiltonian in the Pauli-Villars Regularization
• Non-Perturbative Calculation of the Scalar Yukawa Theory in Four-Body Truncation
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• Introduction to Basis Light-Front Quantization Approach to QCD Bound State Problems
• High Resolution Nonperturbative Light-Front Simulations of the True Muonium Atom
• Light-front versus equal-time quantization in ${\varphi }^4$ theory
• Pauli-Villars regularization of non-Abelian gauge theories
• Flavor asymmetry from the non-perturbative nucleon sea
• Convergence of the light-front coupled-cluster method in quenched scalar Yukawa theory
• Symmetry breaking in light-front ${\varphi }^4$ theory
• Application of a light-front coupled cluster method
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• Three-Fermion Bound States on the Light Front
• Nonperturbative calculations in light-front QED
• Nonperturbative calculations in truncated Fock space in LFD