arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节（Veterans Day），12 日无更新
arXiv 1806.00835hep-phhep-lathep-th
收藏

零温手征有效拉格朗日模型中真空能量密度与θ关系的研究

Study of the theta dependence of the vacuum energy density in chiral effective Lagrangian models at zero temperature

Francesco Luciano, Enrico Meggiolaro

备注：
36 pages, 2 figures; revised version, published in PRD
发表信息：
Phys. Rev. D 98, 074001 (2018)
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

我们利用不同的有效拉格朗日模型，包括味单重态介子场和实现基础理论中的$T=0$轴向反常，系统地研究了零温情况下由参数$θ$的一个小的但非零的值引起的QCD真空能量密度$ε_{vac}$的修正.特别是，我们推导出的表达式的拓扑磁化率$χ$和第二累积量$c_4$从$θ$依赖的$ε_{vac}(θ)$在各种模型，我们已经考虑。此外，我们数值评估我们的结果，以便相互比较，与手征有效拉格朗日的预测，最后，也与可用的晶格数据。

英文摘要：

We perform a systematic study of the modifications to the QCD vacuum energy density $ε_{vac}$ in the zero-temperature case ($T=0$) caused by a small, but non-zero, value of the parameter $θ$, using different effective Lagrangian models which include the flavour-singlet meson field and implement the $U(1)$ axial anomaly of the fundamental theory. In particular, we derive the expressions for the topological susceptibility $χ$ and for the second cumulant $c_4$ starting from the $θ$ dependence of $ε_{vac}(θ)$ in the various models that we have considered. Moreover, we evaluate numerically our results, so as to compare them with each other, with the predictions of the Chiral Effective Lagrangian, and, finally, also with the available lattice data.

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。

↑