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arXiv 1007.3879hep-lathep-phhep-th
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大N极限下的地球质量

Glueball masses in the large N limit

Biagio Lucini, Antonio Rago, Enrico Rinaldi

摘要:

本文用SU($N$)规范理论计算了时空格点上的最低胶球质量,格点间距$a$为常数,$N$为3 ~ 8。使用晶格$N_T = 6$的时间延伸处的解除限制温度来固定晶格间距。计算进行采用在每个通道中的变分的ananadian上进行的大的基础上的运营商,其中还包括torelon和(最轻的状态)散射试验功能。这个基础是使用自动算法构建的,该算法允许我们在立方群的任何不可约表示中构建任何大小和形状的算子。在几个对称通道中提取了基态和第一激发的良好信号。结果表明,所有的观察到的状态很好地描述了他们的大$N$值,适度的${\cal O}(1/N^2)$修正。此外,虚假的国家被确定耦合到torelon和散射运营商。作为计算的副产品,我们确定了N=5和N=7的解除禁闭相变的临界耦合和晶格$N_T=6$的时间扩展。

英文摘要:

The lowest-lying glueball masses are computed in SU($N$) gauge theory on a spacetime lattice for constant value of the lattice spacing $a$ and for $N$ ranging from 3 to 8. The lattice spacing is fixed using the deconfinement temperature at temporal extension of the lattice $N_T = 6$. The calculation is conducted employing in each channel a variational ansatz performed on a large basis of operators that includes also torelon and (for the lightest states) scattering trial functions. This basis is constructed using an automatic algorithm that allows us to build operators of any size and shape in any irreducible representation of the cubic group. A good signal is extracted for the ground state and the first excitation in several symmetry channels. It is shown that all the observed states are well described by their large $N$ values, with modest ${\cal O}(1/N^2)$ corrections. In addition spurious states are identified that couple to torelon and scattering operators. As a byproduct of our calculation, the critical couplings for the deconfinement phase transition for N=5 and N=7 and temporal extension of the lattice $N_T=6$ are determined.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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