Trace Anomalies and the Graviton-Dilaton Amplitude
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866917778820169728 |
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| author | Karateev, Denis Komargodski, Zohar Penedones, João Sahoo, Biswajit |
| author_facet | Karateev, Denis Komargodski, Zohar Penedones, João Sahoo, Biswajit |
| contents | We consider 3+1 dimensional Quantum Field Theories (QFTs) coupled to the dilaton and the graviton. We show that the graviton-dilaton scattering amplitude receives a universal contribution which is helicity flipping and is proportional to $Δc-Δa$ along any RG flow, where $Δc$ and $Δa$ are the differences of the UV and IR $c$- and $a$-trace anomalies respectively. This allows us to relate $Δc-Δa$ to spinning massive states in the spectrum of the QFT. We test our predictions in two simple examples: in the theory of a massive free scalar and in the theory of a massive Dirac fermion (a more complicated example is provided in a companion paper [1]). We discuss possible applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_09308 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Trace Anomalies and the Graviton-Dilaton Amplitude Karateev, Denis Komargodski, Zohar Penedones, João Sahoo, Biswajit High Energy Physics - Theory We consider 3+1 dimensional Quantum Field Theories (QFTs) coupled to the dilaton and the graviton. We show that the graviton-dilaton scattering amplitude receives a universal contribution which is helicity flipping and is proportional to $Δc-Δa$ along any RG flow, where $Δc$ and $Δa$ are the differences of the UV and IR $c$- and $a$-trace anomalies respectively. This allows us to relate $Δc-Δa$ to spinning massive states in the spectrum of the QFT. We test our predictions in two simple examples: in the theory of a massive free scalar and in the theory of a massive Dirac fermion (a more complicated example is provided in a companion paper [1]). We discuss possible applications. |
| title | Trace Anomalies and the Graviton-Dilaton Amplitude |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2312.09308 |