Sp(2N) Yang-Mills趋向大N。

Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019) Pub Date : 2019-12-20 DOI:10.22323/1.363.0177

Jack Holligan, E. Bennett, D. Hong, Jong-Wan Lee, C. Lin, B. Lucini, M. Piai, Davide Vadacchino

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引用次数: 8

摘要

Sp(2N)$规范理论的非摄动方面由于现象学和理论的原因是有趣的，迄今为止研究很少，特别是在接近大$N$极限方面。我们研究了胶球的谱和基于这些群的杨-米尔斯理论的弦张力。利用蒙特卡罗生成的点阵规范结构，用变分法对胶球质量进行了数值计算。在取$N$ = 1,2,3和4的连续极限后，我们将结果外推到大$N$。我们将得到的谱与$SU(N)$规范理论的谱进行比较，无论是在$N$有限处还是在$N$趋于无穷时。

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Sp(2N) Yang-Mills towards large N.

Non-perturbative aspects of the physics of $Sp(2N)$ gauge theories are interesting for phenomenological and theoretical reasons, and little studied so far, particularly in the approach to the large-$N$ limit. We examine the spectrum of glueballs and the string tension of Yang-Mills theories based upon these groups. Glueball masses are calculated numerically with a variational method from Monte-Carlo generated lattice gauge configurations. After taking continuum limits for $N$ = 1, 2, 3 and 4, we extrapolate the results towards large $N$. We compare the resulting spectrum with that of $SU(N)$ gauge theories, both at finite $N$ and as $N$ approaches infinity.

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Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)

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