The technical problem of deriving the full Green functions of the elementary pion fields of the nonlinear sigma model in terms of ancestor amplitudes involving only the flat connection and the nonlinear sigma model constraint is a very complex task. In this paper we solve this problem by integrating, order by order in the perturbative loop expansion, the local functional equation derived from the invariance of the SU(2) Haar measure under local left multiplication. This yields the perturbative definition of the path-integral over the non-linearly realized SU(2) group.

Path-integral over non-linearly realized groups and hierarchy solutions / D. Bettinelli, R. Ferrari, A. Quadri. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2007:03(2007 Mar 08), pp. 065.065-1-065.065-22. [10.1088/1126-6708/2007/03/065]

Path-integral over non-linearly realized groups and hierarchy solutions

D. Bettinelli
Primo
;
R. Ferrari
Secondo
;
A. Quadri
Ultimo
2007

Abstract

The technical problem of deriving the full Green functions of the elementary pion fields of the nonlinear sigma model in terms of ancestor amplitudes involving only the flat connection and the nonlinear sigma model constraint is a very complex task. In this paper we solve this problem by integrating, order by order in the perturbative loop expansion, the local functional equation derived from the invariance of the SU(2) Haar measure under local left multiplication. This yields the perturbative definition of the path-integral over the non-linearly realized SU(2) group.
Renormalization regularization and renormalons; Sigma models
Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici
8-mar-2007
Article (author)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/33287
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