Soft pion theorem, asymptotic symmetry and new memory effect

Abstract

It is known that soft photon and graviton theorems can be regarded as the Ward-Takahashi identities of asymptotic symmetries. In this paper, we consider soft theorem for pions, i.e., Nambu-Goldstone bosons associated with a spontaneously broken axial symmetry. The soft pion theorem is written as the Ward-Takahashi identities of the $S$-matrix under asymptotic transformations. We investigate the asymptotic dynamics, and find that the conservation of charges generating the asymptotic transformations can be interpreted as a pion memory effect.

arXiv comment25 pages, 2 figures, v2: references and discussions added

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• Soft factors from classical scattering on the Reissner-Nordström spacetime
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• A General Hierarchy of Charges at Null Infinity via the Todd Polynomials
• Tree and $1$-loop fundamental BCJ relations from soft theorems
• Gravitational wave memory in conformally flat spacetimes
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• Anomaly Equation of the Large U(1) Chiral Symmetry