arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2102.01387hep-lat
收藏

四维紧致QED的格点Landau规范光子传播子

The lattice Landau gauge photon propagator for 4D compact QED

Lee C. Loveridge, Orlando Oliveira, Paulo J. Silva

摘要:

在这项工作中,我们报告的朗道规范光子传播计算纯规范四维紧凑QED在限制和解除限制阶段和大的晶格体积:$32^4$,$48^4$和$96^4$。在约束相,紧凑的QED开发的质量尺度,使传播有限在所有的动量尺度和没有体积依赖性进行的模拟观察。此外,对于受限相的传播子是兼容的汤川大规模型泛函形式。对于退禁闭相位,光子传播子似乎接近自由场传播子,因为晶格体积增加。在这两种情况下,我们还研究了规范组态$m$中的静态势和狄拉克弦数的平均值。在受限阶段,质量间隙转化为线性增长的静电势,而在去受限阶段,静电势在大分离处接近常数。结果表明,$m$是,至少,一个数量级以上的限制相,并确认的外观与规范群的拓扑结构的限制相。

英文摘要:

In this work we report on the Landau gauge photon propagator computed for pure gauge 4D compact QED in the confined and deconfined phases and for large lattices volumes: $32^4$, $48^4$ and $96^4$. In the confined phase, compact QED develops mass scales that render the propagator finite at all momentum scales and no volume dependence is observed for the simulations performed. Furthermore, for the confined phase the propagator is compatible with a Yukawa massive type functional form. For the deconfined phase the photon propagator seems to approach a free field propagator as the lattice volume is increased. In both cases, we also investigate the static potential and the average value of the number of Dirac strings in the gauge configurations $m$. In the confined phase the mass gap translates into a linearly growing static potential, while in the deconfined phase the static potential approaches a constant at large separations. Results shows that $m$ is, at least, one order of magnitude larger in the confined phase and confirm that the appearance of a confined phase is connected with the topology of the gauge group.

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。

↑