301 citations · 1.5k across the 84 of their papers we have counts for
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Nonperturbative solution of scalar Yukawa model in two- and three-body Fock space truncations
Vladimir A. Karmanov, Yang Li, Alexander V. Smirnov +1
The Light-Front Tamm-Dancoff method of finding the nonperturbative solutions in field theory is based on the Fock decomposition of the state vector, complemented with the sector-de…
Ab initio nonperturbative calculation of physical observables in light-front dynamics. Application to the Yukawa model
V. A. Karmanov, J. -F. Mathiot, A. V. Smirnov
We present a coherent and operational strategy to calculate, in a nonperturbative way, physical observables in light-front dynamics. This strategy is based on the decomposition of…
Nonperturbative renormalization in light-front dynamics and applications
J. -F. Mathiot, A. V. Smirnov, N. A. Tsirova +1
We present a general framework to calculate the properties of relativistic compound systems from the knowledge of an elementary Hamiltonian. Our framework provides a well-controlle…
Nonperturbative calculation of the anomalous magnetic moment in the Yukawa model within truncated Fock space
V. A. Karmanov, J. -F. Mathiot, A. V. Smirnov
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 an…
Systematic renormalization scheme in light-front dynamics with Fock space truncation
V. A. Karmanov, J. -F. Mathiot, A. V. Smirnov
Within the framework of the covariant formulation of light-front dynamics, we develop a general non-perturbative renormalization scheme based on the Fock decomposition of the state…
Regularization of fermion self-energy and electromagnetic vertex in Yukawa model within light-front dynamics
V. A. Karmanov, J. -F. Mathiot, A. V. Smirnov
In light-front dynamics, the regularization of amplitudes by traditional cutoffs imposed on the transverse and longitudinal components of particle momenta corresponds to restrictin…
Bethe-Salpeter equation with cross-ladder kernel in Minkowski and Euclidean spaces
V. A. Karmanov, J. Carbonell, M. Mangin-Brinet
Some results obtained by a new method for solving the Bethe-Salpeter equation are presented. The method is valid for any kernel given by irreducible Feynman graphs. The Bethe-Salpe…
Non-perturbative renormalization in Light Front Dynamics with Fock space truncation
J. -F. Mathiot, V. A. Karmanov, A. V. Smirnov
Within the framework of the Covariant formulation of Light-Front Dynamics, we develop a general non-perturbative renormalization scheme based on the Fock decomposition of the state…
Cross-ladder effects in Bethe-Salpeter and Light-Front equations
J. Carbonell, V. A. Karmanov
Bethe-Salpeter (BS) equation in Minkowski space for scalar particles is solved for a kernel given by a sum of ladder and cross-ladder exchanges. The solution of corresponding Light…
Renormalized non-perturbative scalar and fermions models in Covariant Light Front Dynamics
J. F. Mathiot
Within the framework of the Covariant formulation of Light-Front Dynamics, we develop a general non-perturbative renormalization scheme, based on the Fock decomposition of the stat…
Higher Fock sectors in Wick-Cutkosky model
V. A. Karmanov, Dae Sung Hwang
In the Wick-Cutkosky model we analyze nonperturbatively, in light-front dynamics, the contributions of two-body and higher Fock sectors to the total norm and electromagnetic form f…
Many-body Fock sectors in Wick-Cutkosky model
Dae Sung Hwang, V. A. Karmanov
In the model where two massive scalar particles interact by the ladder exchanges of massless scalar particles (Wick-Cutkosky model), we study in light-front dynamics the contributi…
Renormalized nonperturbative fermion model in Covariant Light Front Dynamics
V. A. Karmanov, J. -F. Mathiot, A. V. Smirnov
Within the framework of the covariant formulation of Light-Front Dynamics, we develop a nonperturbative renormalization scheme in the fermion model supposing that the composite fer…
Two-fermion relativistic bound states in Light-Front Dynamics
M. Mangin-Brinet, J. Carbonell, V. A. Karmanov
In the Light-Front Dynamics, the wave function equations and their numerical solutions, for two fermion bound systems, are presented. Analytical expressions for the ladder one-boso…
Spin zero particle propagator from a random walk in 3-D space
J. J. Dugne, V. A. Karmanov
The propagator of a spin zero particle in coordinate space is derived supposing that the particle propagates rectilinearly always at the speed of light and changes its direction in…
Stability of two-fermion bound states in the explicitly covariant Light-Front Dynamics
M. Mangin-Brinet, J. Carbonell, V. A. Karmanov
The covariant light-front equations have been solved exactly for a two fermion system with different boson exchange ladder kernels. We present a method to study the cutoff dependen…
Nonperturbative renormalization in a scalar model within Light-Front Dynamics
D. Bernard, Th. Cousin, V. A. Karmanov +1
Within the covariant formulation of Light-Front Dynamics, in a scalar model with the interaction Hamiltonian , we calculate nonperturbatively the renormalized sta…
Stability of bound states in the light-front Yukawa model
V. A. Karmanov, J. Carbonell, M. Mangin-Brinet
We show that in the system of two fermions interacting by scalar exchange, the solutions for J= bound states are stable without any cutoff regularization, for values of th…
Relativistic bound states in Yukawa model
M. Mangin-Brinet, J. Carbonell, V. A. Karmanov
The bound state solutions of two fermions interacting by a scalar exchange are obtained in the framework of the explicitly covariant light-front dynamics. The stability with respec…
Stability of bound states in the light-front Yukawa model
M. Mangin-Brinet, J. Carbonell, V. A. Karmanov
We show that in the system of two fermions interacting by scalar exchange, the solutions for J= bound states are stable without any cutoff regularization for coupling cons…
Relativistic wave functions and energies for nonzero angular momentum states in light-front dynamics
V. A. Karmanov, M. Mangin-Brinet, J. Carbonell
Light-front dynamics (LFD) is a powerful approach to the theory of relativistic composite systems (hadrons in the quark models and relativistic nucleons in nuclei). Its explicitly…
Weak binding limit and non zero angular momentum states in Light-Front Dynamics
M. Mangin-Brinet, J. Carbonell, V. A. Karmanov
We show some results concerning the weak binding limit for J=0 states -- which turn out to strongly differ from the non relativistic case -- together with the construction of non z…