The symmetric subtraction of the nonlinear sigma model in D=4 is performed to all orders in the loop expansion by enforcing the functional equation associated with the invariance of the Haar measure under local left multiplication. This equation encodes a powerful hierarchy allowing one to fix all amplitudes involving at least one pion field in terms of those only containing insertions of the flat connection and the nonlinear sigma model constraint (ancestor amplitudes).
All orders symmetric subtraction of the nonlinear sigma model in D=4 / A. Quadri - In: Chiral dynamics 2006 / [a cura di] M.H. Ahmed, H. Gao, B. Holstein, H.R. Weller. - Singapore : World Scientific, 2007. - ISBN 978-981-270-566-2. - pp. 310-312 (( Intervento presentato al 5. convegno International workshop on Chiral Dynamics,Theory and Experiment tenutosi a Durham/Chapel Hill, North Carolina, USA nel 2006.
All orders symmetric subtraction of the nonlinear sigma model in D=4
A. QuadriPrimo
2007
Abstract
The symmetric subtraction of the nonlinear sigma model in D=4 is performed to all orders in the loop expansion by enforcing the functional equation associated with the invariance of the Haar measure under local left multiplication. This equation encodes a powerful hierarchy allowing one to fix all amplitudes involving at least one pion field in terms of those only containing insertions of the flat connection and the nonlinear sigma model constraint (ancestor amplitudes).
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