Trace anomalies and the graviton-dilaton amplitude
A bstract 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 ∆ c − ∆ a along any RG flow, where ∆ c and ∆ a are the differences of the UV and IR c - and a -trace anomalies respectively. This allows us to relate ∆ c − ∆ a 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.
Authors
- Zohar Komargodski (ORCID: https://orcid.org/0000-0002-8486-0811)
- João Penedones (ORCID: https://orcid.org/0000-0003-0345-4836)
- Biswajit Sahoo (ORCID: https://orcid.org/0000-0002-2650-7681)
- Denis Karateev (ORCID: https://orcid.org/0000-0003-4319-9681)
Institutions
- Purchase College (US)
- University of Geneva (CH)
- King's College London (GB)
- Simons Center for Geometry and Physics (US)
- École Polytechnique Fédérale de Lausanne (CH)
- Stony Brook University (US)
Publication Details
- Journal
- Journal of High Energy Physics
- Published
- 2024-11-12
- DOI
- https://doi.org/10.1007/jhep11(2024)067
- Citations
- 5
- Primary Topic
- Black Holes and Theoretical Physics
- Type
- article
- Field-Weighted Citation Impact
- 3.30
Funders
- National Science Foundation
- National Centres of Competence in Research SwissMAP
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
- Science and Technology Facilities Council