SU(4) 复合Higgs模型的多表示动力学:手征极限与谱重建
Multi-Representation Dynamics of SU(4) Composite Higgs Models: Chiral Limit and Spectral Reconstructions
AI总结:
本文研究了 SU(4) 规范理论的多表示动力学,通过格点微扰与非微扰方法计算能谱并外推手征点,为理解部分复合理论的能谱提供了重要步骤。
摘要:
我们提出了一项关于 SU(4) 规范理论的格点研究,该理论包含两个基本表示的 Dirac 费米子和两个二阶反对称表示的 Dirac 费米子,这是一个接近部分复合理论的模型。本工作的重点是计算能谱的方法论,以及针对包含多表示物质的理论进行手征点外推。尽管目前仍偏技术性,但该研究为非微扰地理解部分复合理论的能谱提供了重要步骤,与单表示理论相比,这些理论呈现出更丰富的动力学。多表示特征首先在微扰理论中进行研究,随后通过时间-动量关联函数和涂抹谱密度的联合分析,对格点数据采用对偶视角进行非微扰研究。
英文摘要:
We present a lattice study of the $SU(4)$ gauge theory with two Dirac fermions in the fundamental and two in the two-index antisymmetric representation, a model close to a theory of partial compositeness. Focus of this work are the methodologies behind the computation of the spectrum and the extrapolation of the chiral point for a theory with matter in multiple representations. While being still technical, this study provides important steps towards a non-perturbative understanding of the spectrum of theories of partial compositeness, which present a richer dynamics compared to single-representation theories. The multi-representation features are studied first in perturbation theory, and then non-perturbatively by adopting a dual outlook on lattice data through a joint analysis of time-momentum correlation functions and smeared spectral densities.
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