Trace anomalies and the graviton-dilaton amplitude

IF 5.4 1区物理与天体物理 Q1 Physics and Astronomy

Journal of High Energy Physics Pub Date : 2024-11-12 DOI:10.1007/JHEP11(2024)067

Denis Karateev, Zohar Komargodski, João Penedones, Biswajit Sahoo

引用次数: 0

Abstract

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.

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微量异常和引力子-稀拉顿振幅

我们考虑了与稀拉顿和引力子耦合的 3+1 维量子场理论（QFT）。我们证明，引力子-稀拉顿散射振幅接收到一个普遍贡献，它是螺旋翻转的，沿着任何 RG 流都与∆c - ∆a 成比例，其中 ∆c 和 ∆a 分别是紫外和红外 c 迹线和 a 迹线反常的差值。这样，我们就可以把 ∆c - ∆a 与 QFT 光谱中的自旋大质量态联系起来。我们在两个简单的例子中检验了我们的预测：大质量自由标量理论和大质量狄拉克费米子理论（更复杂的例子见配套论文[1]）。我们讨论了可能的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of High Energy Physics 物理-物理：粒子与场物理

CiteScore

10.30

自引率

46.30%

发文量

2107

审稿时长

1.5 months

期刊介绍： The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal. Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles. JHEP presently encompasses the following areas of theoretical and experimental physics: Collider Physics Underground and Large Array Physics Quantum Field Theory Gauge Field Theories Symmetries String and Brane Theory General Relativity and Gravitation Supersymmetry Mathematical Methods of Physics Mostly Solvable Models Astroparticles Statistical Field Theories Mostly Weak Interactions Mostly Strong Interactions Quantum Field Theory (phenomenology) Strings and Branes Phenomenological Aspects of Supersymmetry Mostly Strong Interactions (phenomenology).