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研读禁闭赝实理论:无质量自旋-1玻色子的涌现故事

Perusing confining pseudoreal theories: a story of emerging massless spin-1 bosons

Giacomo Cacciapaglia, Konstantinos Kollias

arXiv 2607.09531首次发表:更新:

AI 中文总结

研究量子场论中极小渐近自由赝实理论的红外动力学,通过全面研究确定流向共形动力学及禁闭的理论,指出部分理论有无质量自旋-1态等预测,可用多种方法进一步检验。

AI 中文摘要

解决作为粒子相互作用标准模型基础的量子场论是当代理论物理的主要任务之一。极小渐近自由赝实理论包含规范群赝实表示中的一种或两种无质量外尔费米子,其流向理解不足的红外动力学。我们全面研究了所有赝实理论,确定了可能流向共形动力学的理论,同时表明其余理论通过非平凡凝聚动力学禁闭。在后者中,除一种单物种理论外均有一个无质量自旋-1态。而唯一的禁闭双物种理论可能有两个无质量自旋-1态和一个南布-戈德斯通玻色子。这些预测可通过晶格模拟、泛函重整化群和超对称类似物进一步检验。

英文摘要

Solving quantum field theory, which is at the basis of the standard model of particle interactions, is one of the main tasks of contemporary theoretical physics. Minimal asymptotically free pseudoreal theories, containing one or two species of massless Weyl fermions in pseudoreal representations of the gauge group, flow towards a poorly understood infrared dynamics. We provide a comprehensive study of all pseudoreal theories, identifying the ones that likely flow towards a conformal dynamics, while we show that the remaining ones confine with a non-trivial condensate dynamics. Among the latter, all but one one-species theories feature a massless spin-1 state. Instead, the only confining two-species theory likely features two massless spin-1 states and one Nambu-Goldstone boson. These predictions could be further tested, for instance by use of Lattice simulations, the functional renormalization group, and supersymmetric analogs.

Comments10 pages, 3 tables

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