On the definition of Carrollian amplitudes in general dimensions

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

Journal of High Energy Physics Pub Date : 2024-11-06 DOI:10.1007/JHEP11(2024)027

Wen-Bin Liu, Jiang Long, Hong-Yang Xiao, Jing-Long Yang

引用次数: 0

Abstract

Carrollian amplitude is the natural object that defines the correlator of the boundary Carrollian field theory. In this work, we will elaborate on its proper definition in general dimensions. We use the vielbein field on the unit sphere to define the fundamental field with non-vanishing helicity in the local Cartesian frame which is the building block of the Carrollian amplitude. In general dimensions, the Carrollian amplitude is related to the momentum space scattering matrix by a modified Fourier transform. The Poincaré transformation law of the Carrollian amplitude in this definition has been discussed. We also find an isomorphism between the local rotation of the vielbein field and the superduality transformation.

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关于一般维度下卡罗尔振幅的定义

卡罗尔振幅是定义边界卡罗尔场论相关器的自然对象。在这项工作中，我们将详细阐述它在一般维度上的正确定义。我们使用单位球上的维尔贝因场来定义本地笛卡尔框架中螺旋度不消失的基本场，它是卡罗尔振幅的基石。在一般维度上，卡罗尔振幅通过修正的傅里叶变换与动量空间散射矩阵相关。我们讨论了这一定义中卡罗尔振幅的普恩卡雷变换定律。我们还发现了维尔贝因场的局部旋转与超对偶变换之间的同构关系。

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).