Inflationary Adler conditions
We derive a new soft theorem that corresponds to the spontaneous breaking of Lorentz boosts. This is motivated by the dynamics of inflation in the subhorizon (flat-space) limit, where spacetime becomes flat but Lorentz boosts are still broken. In this limit, the scattering amplitudes become sensible...
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| Veröffentlicht in: | Physical review. D 2023-02, Vol.107 (4), Article 043534 |
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| container_title | Physical review. D |
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| creator | Green, Daniel Huang, Yiwen Shen, Chia-Hsien |
| description | We derive a new soft theorem that corresponds to the spontaneous breaking of Lorentz boosts. This is motivated by the dynamics of inflation in the subhorizon (flat-space) limit, where spacetime becomes flat but Lorentz boosts are still broken. In this limit, the scattering amplitudes become sensible observables. We relate the soft emission of a Goldstone boson to the (nonrelativistic) Lorentz boost of the hard scattering amplitudes. This is the on-shell avatar of the spontaneous breaking of Lorentz boosts, analogous to the Adler zero of pions in the chiral symmetry breaking. We comment on several applications to inflation, including the demonstration that Dirac-Born-Infeld inflation is the unique theory that has an emergent Lorentz invariance when the boosts are spontaneously broken. |
| doi_str_mv | 10.1103/PhysRevD.107.043534 |
| format | Article |
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| ispartof | Physical review. D, 2023-02, Vol.107 (4), Article 043534 |
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| source | American Physical Society Journals |
| subjects | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS inflation scattering amplitudes |
| title | Inflationary Adler conditions |
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