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Soft pion theorem, asymptotic symmetry and new memory effect

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arxiv 1709.05018 v2 pith:7CFY3J4P submitted 2017-09-15 hep-th gr-qchep-ph

Yuta Hamada , Sotaro Sugishita This is my paper · ORCID
classification hep-thgr-qchep-ph
keywords asymptoticsoftpiontheoremeffectidentitiesmemorysymmetry
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 30 citations worldwide. Full citation record

  1. Tree and $1$-loop fundamental BCJ relations from soft theorems

    hep-th 2023-05 unverdicted novelty 7.0 of 10

    Derives the fundamental BCJ relation at tree level from soft theorems in bi-adjoint scalar theory, generalizes it to 1-loop integrands, and uses it to explain Adler zeros in other scalar theories.

  2. Revisiting boundary electromagnetic duality and edge modes

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    In 4D Maxwell theory, standard Neumann/Dirichlet boundary conditions render large gauge transformations and edge mode shifts as gauge redundancies, while modified conditions make them physical symmetries generated by ...

  3. Tree level amplitudes from soft theorems

    hep-th 2022-12 unverdicted novelty 5.0 of 10

    Tree-level amplitudes for Yang-Mills-scalar, pure Yang-Mills, Einstein-Yang-Mills and gravitational theories are reconstructed from soft theorems, universality of soft factors and double copy, with explicit soft facto...

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