Study on the nonperturbative existence of Yang-Mills theories with large extra dimensions
Study on the nonperturbative existence of Yang-Mills theories with large extra dimensions
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大附加维Yang-Mills理论的非微扰存在性研究
DOI：
10.1103/physrevd.62.105025
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发表时间：
2000
影响因子：
5
通讯作者：
M. Murata
中科院分区：
文献类型：
--
作者：
S. Ejiri;J. Kubo;M. Murata
考虑了五维纯格SU（2）Yang-Mills理论，其中一个额外的维是在圆上紧化的. MonteCarlo模拟表明，当紧化半径小于弦张力平方根的倒数O（1/10）时，该理论具有弦张力不为零的连续极限.我们验证非微扰的规范耦合常数的幂律运行。我们的方法可以应用于其他高维规范理论中连续极限的研究。
Pure lattice $\mathrm{SU}(2)$ Yang-Mills theory in five dimensions is considered, where an extra dimension is compactified on a circle. Monte Carlo simulations indicate that the theory possesses a continuum limit with a nonvanishing string tension if the compactification radius is smaller than a certain value ${R}_{M}$ which is $O(1/10)$ of the inverse of the square root of the string tension. We verify nonperturbatively the power-law running of the gauge coupling constant. Our method can be applied to the investigation of continuum limits in other higher-dimensional gauge theories.