arXiv 0908.03242009-08hep-phastro-ph.COhep-lat

相互作用瞬子液体模型巨正则模拟的拓扑磁化率：手征相变和轴子质量

The topological susceptibility from grand canonical simulations in the interacting instanton liquid model: chiral phase transition and axion mass

Olivier Wantz, E. P. S. Shellard

备注：: 65 pages, 36 figures. As accepted by Nucl.Phys.B
发表信息：: Nucl.Phys.B829:110-160,2010
DOI：: 10.1016/j.nuclphysb.2009.12.005

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摘要：

这是最后在一系列论文的拓扑磁化率在相互作用的瞬子液体模型（IILM）。我们将推导出改进的有限温度相互作用，以研究在轻的物理夸克质量的淬灭和未淬灭情况下的巨正则蒙特卡罗模拟的热力学极限。特别地，我们将对手征对称性破缺感兴趣。该文件的高潮，第一次，一个动机良好的温度依赖的轴子质量。特别地，本文最后给出了低温区轴子质量的计算，$m^2_a f^2_a = 1.46 10^{-3}Λ^4 \frac{1+0.50 T/Λ}{1+(3.53 T/Λ)^{7.48}}$。它平滑地连接到高温稀气体近似;后者通过包括夸克阈值效应而得到改进。为了与以前的研究相比较，我们还提供了通常的幂律$m^2_a = \frac{α_a Λ^4}{f_a^2 (T/Λ)^n}$，其中$Λ=400\units{MeV}$，$n=6.68$和$α=1.68 10^{-7}$ .

英文摘要：

This is the last in a series of papers on the topological susceptibility in the interacting instanton liquid model (IILM). We will derive improved finite temperature interactions to study the thermodynamic limit of grand canonical Monte Carlo simulations in the quenched and unquenched case with light, physical quark masses. In particular, we will be interested in chiral symmetry breaking. The paper culminates by giving, for the first time, a well-motivated temperature-dependent axion mass. Especially, this work finally provides a computation of the axion mass in the low temperature regime, $m^2_a f^2_a = 1.46 10^{-3}Λ^4 \frac{1+0.50 T/Λ}{1+(3.53 T/Λ)^{7.48}}$. It connects smoothly to the high temperature dilute gas approximation; the latter is improved by including quark threshold effects. To compare with earlier studies, we also provide the usual power-law $m^2_a = \frac{α_a Λ^4}{f_a^2 (T/Λ)^n}$, where $Λ=400\units{MeV}$, $n=6.68$ and $α=1.68 10^{-7}$.

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