论文标题
来自功能方法的标量和伪级胶合球的光谱
Spectrum of scalar and pseudoscalar glueballs from functional methods
论文作者
论文摘要
我们使用Dyson-Schwinger和Bethe-Salpeter方程的无参数完全独立的截断,为纯Yang-Mills理论中的标量和伪级胶合球提供结果。唯一的输入是通过与晶格计算进行比较固定的。我们获得了$ 1.9 \,\ text {gev} $和$ 2.6 \,\ text {gev} $的基态质量,分别为标量和伪cal glueballs,以及$ 2.6 \,\ text {gev} $ and $ 3.9 \ $ 3.9 \,\ 3.9 \,\ text {geev} $ for for The Mevers first first first first兴奋。这与可用的晶格结果非常有良好的定量协议。此外,我们预测第二个兴奋状态的质量为$ 3.7 \,\ text {gev} $和$ 4.3 \,\ text {gev} $。结果的质量取决于所采用的输入的自我矛盾。群众独立于对幽灵传播器的红外行为的特定选择,提供进一步的证据,表明这仅反映了非扰动仪表的完成。
We provide results for the spectrum of scalar and pseudoscalar glueballs in pure Yang-Mills theory using a parameter-free fully self-contained truncation of Dyson-Schwinger and Bethe-Salpeter equations. The only input, the scale, is fixed by comparison with lattice calculations. We obtain ground state masses of $1.9\,\text{GeV}$ and $2.6\,\text{GeV}$ for the scalar and pseudoscalar glueballs, respectively, and $2.6\,\text{GeV}$ and $3.9\,\text{GeV}$ for the corresponding first excited states. This is in very good quantitative agreement with available lattice results. Furthermore, we predict masses for the second excited states at $3.7\,\text{GeV}$ and $4.3\,\text{GeV}$. The quality of the results hinges crucially on the self-consistency of the employed input. The masses are independent of a specific choice for the infrared behavior of the ghost propagator providing further evidence that this only reflects a nonperturbative gauge completion.