五矢量Rξ表在高能量时无规消去

IF 5 2区物理与天体物理 Q1 Physics and Astronomy

Physical Review D Pub Date : 2025-04-29 DOI:10.1103/physrevd.111.076031

Jaehoon Jeong

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引用次数: 0

摘要

我们在阿贝尔希格斯模型的五向量（5V）框架中提出了一种新的Rξ规。在复杂希格斯场的笛卡尔基础上，5V Rξ规确保了每个费曼图在高能极限下的非发散树级振幅。该框架在每个图的树级振幅中精确地指出了高能发散的起源，为量化与其他测量的发散程度提供了一个标准。5V描述需要将Goldstone场视为第五个规范场分量，从而更深入地了解大质量规范玻色子的动力学，特别是其纵向模式。该框架的影响是通过严格比较5V Rξ表与传统4V Rξ表和费曼图表的树级振幅来证明的，后者与5V Rξ表类似，没有测量抵消。2025年由美国物理学会出版

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No gauge cancellation at high energy in the five-vector Rξ gauge

We propose a novel Rξ gauge in the five-vector (5V) framework within the Abelian Higgs model. In the Cartesian basis of the complex Higgs field, the 5V Rξ gauge ensures nondivergent tree-level amplitudes for each Feynman diagram in the high-energy limit. This framework pinpoints the origin of high-energy divergences in tree-level amplitudes for each diagram, providing a criterion for quantifying the degree of divergences from other gauges. The 5V description necessitates treating the Goldstone field as the fifth gauge-field component, offering deeper insight into the dynamics of massive gauge bosons, particularly its longitudinal mode. The impact of this framework is demonstrated by rigorously comparing tree-level amplitudes from the 5V Rξ gauge with those from the conventional 4V Rξ gauge and the Feynman diagram gauge, the latter of which exhibits no gauge cancellation, similar to the 5V Rξ gauge.

Published by the American Physical Society

2025

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来源期刊

Physical Review D 物理-天文与天体物理

CiteScore

9.20

自引率

36.00%

发文量

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.