Data di Pubblicazione:
2007
Citazione:
The hierarchy principle and the large mass limit of the linear sigma model / D. Bettinelli, R. Ferrari, A. Quadri. - In: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS. - ISSN 0020-7748. - 46:10(2007), pp. 2560-2590.
Abstract:
In perturbation theory we study the matching in four dimensions between the linear sigma model in the large mass limit and the renormalized nonlinear sigma model in the recently proposed flat connection formalism. We consider both the chiral limit and the strong coupling limit of the linear sigma model. Our formalism extends to Green functions with an arbitrary number of pion legs, at one loop level, on the basis of the hierarchy as an efficient unifying principle that governs both limits. While the chiral limit is straightforward, the matching in the strong coupling limit requires careful use of the normalization conditions of the linear theory, in order to exploit the functional equation and the complete set of local solutions of its linearized form.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Heavy mass expansion ; one-loop
Elenco autori:
D. Bettinelli, R. Ferrari, A. Quadri
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