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Double Soft Theorems and Shift Symmetry in Nonlinear Sigma Models · Around

2015

Double Soft Theorems and Shift Symmetry in Nonlinear Sigma Models

Low, Ian

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We show both the leading and subleading double soft theorems of the nonlinear sigma model follow from a shift symmetry enforcing Adler's zero condition in the presence of an unbroken global symmetry.

They do not depend on the underlying coset G/H and are universal infrared behaviors of Nambu-Goldstone bosons.
Although nonlinear sigma models contain an infinite number of interaction vertices, the double soft limit is determined entirely by a single four-point interaction, together with the existence of Adler's zeros.

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C. G. . Callan, S. R. Coleman, J. Wess and B. Zumino, “Structure Of Phenomenological Lagrangians. 2,” Phys. Rev. 177
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2014

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I. Low, Phys. Rev. D 91

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