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.
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Hamada, Y., Sugishita, S. Soft pion theorem, asymptotic symmetry and new memory effect. J. High Energ. Phys. 2017, 203 (2017). https://doi.org/10.1007/JHEP11(2017)203
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DOI: https://doi.org/10.1007/JHEP11(2017)203