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arXiv 2211.09262hep-lathep-phhep-th
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Sp（$2N$）规范理论中的复合动力学

Composite dynamics in Sp($2N$) gauge theories

Jong-Wan Lee, Ed Bennett, Deog Ki Hong, Ho Hsiao, C. -J. David Lin, Biagio Lucini, Maurizio Piai, Davide Vadacchino

备注：
8 pages, 6 figures, Contribution to the proceedings of the 15th Quark Confinement and the Hadron Spectrum conference (ConfXV), 1st-6th August 2022, Stavanger, Norway
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摘要：

含费米子物质的Sp（$2N$）规范理论为建立基于新复合动力学的标准模型的扩展提供了理想的实验室。例子包括复合希格斯粒子与顶部部分复合和复合暗物质。没有费米子，他们的研究也补充了那些基于SU（$N_c$）规范理论的研究，它们在大$N_c=2N$极限中共享一个共同的扇区。本文报道了我们最近在四维欧氏格点上离散化的Sp（$2N$）规范理论的数值研究进展。特别地，我们给出了在$N=2$理论中介子和嵌合体重子的低质量谱的初步结果。我们还计算了不同值的$N$的拓扑磁化率，外推的结果，大$N$限制，并讨论了杨米尔斯理论的某些普遍性质。

英文摘要：

Sp($2N$) gauge theories with fermonic matter provide an ideal laboratory to build extensions of the standard model based on novel composite dynamics. Examples include composite Higgs along with top partial compositeness and composite dark matter. Without fermions, their study also complements those based on SU($N_c$) gauge theories with which they share a common sector in the large $N_c=2N$ limit. We report on our recent progress in the numerical studies of Sp($2N$) gauge theories discretised on a four-dimensional Euclidean lattice. In particular, we present preliminary results for the low-lying mass spectra of mesons and chimera baryons in the theories with $N=2$. We also compute the topological susceptibility for various values of $N$, extrapolate the results to the large $N$ limit, and discuss certain universal properties in Yang-Mills theories.

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