Continuous-spin particles, on shell

IF 5.4 1区 物理与天体物理 Q1 Physics and Astronomy
Brando Bellazzini, Stefano De Angelis, Marcello Romano
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引用次数: 0

Abstract

We study on-shell scattering amplitudes for continuous-spin particles (CSPs). Poincaré invariance, little-group ISO(2) covariance, analyticity, and on-shell factorisation (unitarity) impose stringent conditions on these amplitudes. We solve them by realizing a non-trivial representation for all little-group generators on the space of functions of bi-spinors. The three-point amplitudes are uniquely determined by matching their high-energy limit to that of definite-helicity (ordinary) massless particles. Four-point amplitudes are then bootstrapped using consistency conditions, allowing us to analyze the theory in a very transparent way, without relying on any off-shell Lagrangian formulation. We present several examples that highlight the main features of the resulting scattering amplitudes. We discuss CSP’s amplitudes as a new infrared deformation of ordinary massless amplitudes, which is controlled by the scale of the Pauli-Lubanski vector squared, as opposed to the familiar mass deformation. Finally, we explore under which conditions it is possible to relax some assumptions, such as strict on-shell factorisation, analyticity, or others. In particular, we also investigate how continuous-spin particles may couple to gravity and electromagnetism, in a loose version of S-matrix principles.

连续自旋粒子,在壳层上
我们研究了连续自旋粒子(csp)的壳上散射振幅。poincar不变性、小群ISO(2)协方差、分析性和壳上分解(统一)对这些振幅施加了严格的条件。我们通过实现双旋量函数空间上所有小群生成器的非平凡表示来解决这些问题。三点振幅是通过将它们的能量极限与定螺旋度(普通)无质量粒子的能量极限相匹配来确定的。然后使用一致性条件引导四点振幅,允许我们以非常透明的方式分析理论,而不依赖于任何离壳拉格朗日公式。我们提出了几个例子,突出了产生的散射振幅的主要特征。我们将CSP的振幅作为普通无质量振幅的一种新的红外变形来讨论,它由Pauli-Lubanski矢量平方的尺度控制,而不是我们所熟悉的质量变形。最后,我们探讨了在哪些条件下可以放松一些假设,例如严格的壳上分解,分析性或其他。特别是,我们还研究了连续自旋粒子如何在s矩阵原理的松散版本中与重力和电磁耦合。
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
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).
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