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Note on off-shell relations in nonlinear sigma model

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arxiv 1412.3722 v2 pith:EEBG3FWI submitted 2014-12-11 hep-th

Gang Chen , Yi-Jian Du , Shuyi Li , Hanqing Liu This is my paper · ORCID
classification hep-th
keywords identityoff-shellcurrentsmodelnonlinearnoterelationsigma
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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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  1. Perturbiner methods in scattering amplitude

    hep-th 2026-07 accept novelty 5.5 of 10

    Perturbiner multi-particle solutions of classical field equations generate Berends–Giele currents and tree-level amplitudes across scalars, gauge theory, gravity, NLSM, AdS, and one-loop integrands, including several ...

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