Double Soft Theorems and Shift Symmetry in Nonlinear Sigma Models
arXiv:1512.01232 · doi:10.1103/PhysRevD.93.045032
Abstract
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.
14 pages
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