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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 the state vector of any compound system in Fock components,…

高能物理 - 理论 · 物理学 2015-06-04 V. A. Karmanov , J. -F. Mathiot , A. V. Smirnov

Fermion self-energy associated with wave function renormalization is studied in a five-dimensional Yukawa theory on the orbifold S1/Z2. One-loop divergence can be subtracted with only two renormalization constants in the bulk and on the…

高能物理 - 唯象学 · 物理学 2010-08-17 Nobuhiro Uekusa

We obtain analytic, nonperturbative, approximate solutions of Yukawa theory in the one-fermion sector using light-front quantization. The theory is regulated in the ultraviolet by the introduction of heavy Pauli-Villars scalar and fermion…

高能物理 - 理论 · 物理学 2015-06-26 S. J. Brodsky , J. R. Hiller , G. McCartor

We apply light-front quantization, Pauli-Villars regularization, and numerical techniques to the nonperturbative solution of the dressed-fermion problem in Yukawa theory in 3+1 dimensions. The solution is developed as a Fock-state expansion…

高能物理 - 唯象学 · 物理学 2009-09-11 S. J. Brodsky , J. R. Hiller , G. McCartor

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:…

高能物理 - 唯象学 · 物理学 2009-02-19 J. -F. Mathiot , V. A. Karmanov , A. V. Smirnov

We apply Pauli-Villars regularization and discretized light-cone quantization to the nonperturbative solution of (3+1)-dimensional Yukawa theory in a single-fermion truncation. Three heavy scalars, including two with negative norm, are used…

高能物理 - 唯象学 · 物理学 2009-09-11 S. J. Brodsky , J. R. Hiller , G. McCartor

We present the first systematic investigation of the Lorentz covariance of the charge form factor for a strongly coupled scalar theory in (3+1)-dimensions. Our results are based on the first non-perturbative solution of the scalar Yukawa…

高能物理 - 唯象学 · 物理学 2025-07-22 Wenyu Zhang , Yang Li , James P. Vary

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-controlled nonperturbative calculational scheme which can be…

高能物理 - 理论 · 物理学 2011-03-07 J. -F. Mathiot , A. V. Smirnov , N. A. Tsirova , V. A. Karmanov

The connection between the Feynman triangle diagram and the light-front formalism for spin-0 and spin-1 two-fermion systems is analyzed. It is shown that in the limit q+ = 0 the form factors for both spin-0 and spin-1 systems can be…

高能物理 - 唯象学 · 物理学 2009-11-07 D. Melikhov , S. Simula

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…

高能物理 - 理论 · 物理学 2014-11-21 V. A. Karmanov , J. -F. Mathiot , A. V. Smirnov

We study the analytic structure of light-front wave functions (LFWFs) and its consequences for hadron form factors using an explicitly Lorentz-invariant formulation of the front form. The normal to the light front is specified by a general…

高能物理 - 唯象学 · 物理学 2009-09-11 S. J. Brodsky , J. R. Hiller , D. S. Hwang , V. A. Karmanov

Light-front dynamics can only become a viable alternative to the covariant approach if doubts about its covariance can be taken away. As a minimal requirement we take that the physical quantities calculated with light-front perturbation…

高能物理 - 唯象学 · 物理学 2010-11-19 N. C. J. Schoonderwoerd , B. L. G. Bakker

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 respect to cutoff of the J$^{\pi}$=$0^+$ and J$^{\pi}$=$1^+$…

高能物理 - 理论 · 物理学 2009-11-07 M. Mangin-Brinet , J. Carbonell , V. A. Karmanov

The wave function of a composite system is defined in relativity on a space-time surface. In the explicitly covariant light-front dynamics, reviewed in the present article, the wave functions are defined on the plane $\omega \cd x=0$, where…

核理论 · 物理学 2011-07-19 J. Carbonell , B. Desplanques , V. A. Karmanov , J. -F. Mathiot

We compute a nonperturbative effective potential between two static fermions in light-front Yukawa theory as a Hamiltonian eigenvalue problem. Fermion pair production is suppressed, to make possible an exact analytic solution in the form of…

高能物理 - 唯象学 · 物理学 2024-01-02 A. P. Bray , S. S. Chabysheva , J. R. Hiller

Equivalence criteria are established for an effective Yukawa-type theory of composite fields representing two-particle fermion bound states with the original "microscopic" theory of interacting fermions based on the spectral decomposition…

高能物理 - 理论 · 物理学 2019-10-23 A. Jakovac , A. Patkos

The noncommutativity of the momentum components, arising from spacetime torsion coupled to spin, replaces the integration over the momentum in loop Feynman diagrams with the summation over the momentum eigenvalues. This prescription…

高能物理 - 理论 · 物理学 2018-08-30 Nikodem Popławski

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 vector and its truncation. The counterterms and bare…

高能物理 - 理论 · 物理学 2008-11-26 V. A. Karmanov , J. -F. Mathiot , A. V. Smirnov

Computation of Yukawa couplings, determining superpotentials as well as the K\"{a}hler metric, with oblique (non-commuting) fluxes in magnetized brane constructions is an interesting unresolved issue, in view of the importance of such…

高能物理 - 理论 · 物理学 2010-12-17 Ignatios Antoniadis , Alok Kumar , Binata Panda

We show how the recently proposed Taylor-Lagrange renormalization scheme can lead to extensions of singular distributions which are reminiscent of the Pauli-Villars subtraction. However, at variance with the Pauli-Villars regularization…

高能物理 - 理论 · 物理学 2014-11-21 P. Grangé , J. -F. Mathiot , B. Mutet , E. Werner
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