有效场论的几何是什么?

IF 5.3 2区 物理与天体物理 Q1 Physics and Astronomy
Timothy Cohen, Xiaochuan Lu, Zhengkang Zhang
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引用次数: 0

摘要

我们详细阐述了最近提出的标量有效场理论的几何框架。从动作开始,可以识别一个度量,它可以在相关的功能流形上构造几何量。这些对象在涉及不同算子基(包括涉及导数的算子基)的一般域重新定义下进行协变变换。我们提出了一种新的理论振幅几何公式,其中费曼图中的顶点被它们的几何对应物所取代。这使得振幅的壳上协方差显现出来,提供了泛函几何和有效场论之间的联系。2025年由美国物理学会出版
本文章由计算机程序翻译,如有差异,请以英文原文为准。
What is the geometry of effective field theories?
We elaborate on a recently proposed geometric framework for scalar effective field theories. Starting from the action, a metric can be identified that enables the construction of geometric quantities on the associated functional manifold. These objects transform covariantly under general field redefinitions that relate different operator bases, including those involving derivatives. We present a novel geometric formula for the amplitudes of the theory, where the vertices in Feynman diagrams are replaced by their geometrized counterparts. This makes the on-shell covariance of amplitudes manifest, providing the link between functional geometry and effective field theories. Published by the American Physical Society 2025
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来源期刊
Physical Review D
Physical Review D 物理-天文与天体物理
CiteScore
9.20
自引率
36.00%
发文量
0
审稿时长
2 months
期刊介绍: Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics. PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including: Particle physics experiments, Electroweak interactions, Strong interactions, Lattice field theories, lattice QCD, Beyond the standard model physics, Phenomenological aspects of field theory, general methods, Gravity, cosmology, cosmic rays, Astrophysics and astroparticle physics, General relativity, Formal aspects of field theory, field theory in curved space, String theory, quantum gravity, gauge/gravity duality.
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