Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-01-23
JHEP 0703:065,2007
Physics
High Energy Physics
High Energy Physics - Theory
26 pages
Scientific paper
10.1088/1126-6708/2007/03/065
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.
Bettinelli Daniele
Ferrari Ruggero
Quadri Andrea
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