Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-10-30
Phys.Rev. D69 (2004) 045009
Physics
High Energy Physics
High Energy Physics - Theory
44 pages, 12 figures, to be publisehd in Physical Review D
Scientific paper
10.1103/PhysRevD.69.045009
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 fermion is a superposition of the "bare" fermion and a fermion+boson state. We first assume the constituent boson to be spinless. Then we address the case of gauge bosons in the Feynman and in the Light-Cone gauges. For all these cases the fermion state vector and the necessary renormalization counterterms are calculated analytically. It turns out that in Light-Front Dynamics, to restore the rotational invariance, an extra counterterm is needed, having no any analogue in Feynman approach. For gauge bosons the results obtained in the two gauges are compared with each other. In general, the number of spin components of the two-body (fermion+boson) wave function depends on the gauge. But due to the two-body Fock space truncation, only one non-zero component survives for each gauge. And moreover, the whole solutions for the state vector, found for the Feynman and Light-Cone gauges, are the same (except for the normalization factor). The counterterms are however different
Karmanov V. A.
Mathiot Jean-Francois
Smirnov Vladimir A.
No associations
LandOfFree
Renormalized nonperturbative fermion model in Covariant Light Front Dynamics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Renormalized nonperturbative fermion model in Covariant Light Front Dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Renormalized nonperturbative fermion model in Covariant Light Front Dynamics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-250814