caa a22 4500 463196708 CHVBK 20180406164924.0 cr unu---uuuuu 170326e20071001xx s 000 0 eng 10.1007/s10773-007-9371-9 doi (NATIONALLICENCE)springer-10.1007/s10773-007-9371-9 The Hierarchy Principle and the Large Mass Limit oftheLinear Sigma Model [Elektronische Daten] [D. Bettinelli, R. Ferrari, A. Quadri] 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. Springer Science+Business Media, LLC, 2007 Bettinelli D. Dipartimento di Fisica, Università degli Studi di Milano and INFN, Sezione di Milano, via Celoria 16, 20133, Milano, Italy aut Ferrari R. Dipartimento di Fisica, Università degli Studi di Milano and INFN, Sezione di Milano, via Celoria 16, 20133, Milano, Italy aut Quadri A. Dipartimento di Fisica, Università degli Studi di Milano and INFN, Sezione di Milano, via Celoria 16, 20133, Milano, Italy aut International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/10(2007-10-01), 2560-2590 0020-7748 46:10<2560 2007 46 10773 https://doi.org/10.1007/s10773-007-9371-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-007-9371-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bettinelli D. Dipartimento di Fisica, Università degli Studi di Milano and INFN, Sezione di Milano, via Celoria 16, 20133, Milano, Italy aut NATIONALLICENCE 700 1- Ferrari R. Dipartimento di Fisica, Università degli Studi di Milano and INFN, Sezione di Milano, via Celoria 16, 20133, Milano, Italy aut NATIONALLICENCE 700 1- Quadri A. Dipartimento di Fisica, Università degli Studi di Milano and INFN, Sezione di Milano, via Celoria 16, 20133, Milano, Italy aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/10(2007-10-01), 2560-2590 0020-7748 46:10<2560 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer