Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-03-21
Nucl.Phys. A769 (2006) 53-70
Physics
High Energy Physics
High Energy Physics - Phenomenology
Typographical errors corrected, version to appear in Nuc. Phys. A
Scientific paper
10.1016/j.nuclphysa.2006.02.002
The $U_L(3)\times U_R(3)$ Linear Sigma Model (LSM) with quark degrees of freedom is used to show that radiative corrections generate undetermined finite contributions. Their origin is related to surface terms which are differences between divergent integrals with the same degree of divergence. The technique used to detect these ambiguities is an implicit regularization on basic divergent integrals that do not depend on external momenta. We show that such contributions are absorbed by renormalization or fixed by symmetry requirements. The general expression for surface terms is derived. Renormalization group coefficients are calculated, as well as relevant observables for this model, such as $f_{\pi}$, $f_k$ and the pion and kaon form factors.
Hiller Brigitte
Mota Andre L.
Nemes Carolina M.
Osipov Alexander A.
Sampaio Marcos
No associations
LandOfFree
The Role of hidden ambiguities in the Linear Sigma Model with fermions 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 The Role of hidden ambiguities in the Linear Sigma Model with fermions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Role of hidden ambiguities in the Linear Sigma Model with fermions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-160129