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arXiv · 1412.3722

Note on off-shell relations in nonlinear sigma model

Abstract

In this note, we investigate relations between tree-level off-shell currents in nonlinear sigma model. Under Cayley parametrization, all odd-point currents vanish. We propose and prove a generalized $U(1)$ identity for even-point currents. The off-shell $U(1)$ identity given in [1] is a special case of the generalized identity studied in this note. The on-shell limit of this identity is equivalent with the on-shell KK relation. Thus this relation provides the full off-shell correspondence of tree-level KK relation in nonlinear sigma model.

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Gang Chen, Yi-Jian Du, Shuyi Li, Hanqing Liu. 2015-02-09. Note on off-shell relations in nonlinear sigma model. https://arxiv.org/abs/1412.3722

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