Data di Pubblicazione:
2007
Citazione:
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]
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Renormalization regularization and renormalons; Sigma models
Elenco autori:
D. Bettinelli, R. Ferrari, A. Quadri
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