Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-03-04
Phys.Rev.D77:065025,2008
Physics
High Energy Physics
High Energy Physics - Theory
38 pages, 1 figure, To appear in Phy.Rev.D
Scientific paper
10.1103/PhysRevD.77.065025
A novel strategy to handle divergences typical of perturbative calculations is implemented for the Nambu--Jona-Lasinio model and its phenomenological consequences investigated. The central idea of the method is to avoid the critical step involved in the regularization process, namely the explicit evaluation of divergent integrals. This goal is achieved by assuming a regularization distribution in an implicit way and making use, in intermediary steps, only of very general properties of such regularization. The finite parts are separated of the divergent ones and integrated free from effects of the regularization. The divergent parts are organized in terms of standard objects which are independent of the (arbitrary) momenta running in internal lines of loop graphs. Through the analysis of symmetry relations, a set of properties for the divergent objects are identified, which we denominate consistency relations, reducing the number of divergent objects to only a few ones. The calculational strategy eliminates unphysical dependencies of the arbitrary choices for the routing of internal momenta, leading to ambiguity-free, and symmetry-preserving physical amplitudes. We show that the imposition of scale properties for the basic divergent objects leads to a critical condition for the constituent quark mass such that the remaining arbitrariness is removed. The model become predictive in the sense that its phenomenological consequences do not depend on possible choices made in intermediary steps. Numerical results are obtained for physical quantities at the one-loop level for the pion and sigma masses and pion-quark and sigma-quark coupling constants.
Battistel O. A.
Dallabona G.
Krein Gastao
No associations
LandOfFree
A predictive formulation of the Nambu--Jona-Lasinio model 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 A predictive formulation of the Nambu--Jona-Lasinio model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A predictive formulation of the Nambu--Jona-Lasinio model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-160186