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arXiv 2012.02926hep-phhep-latnucl-thquant-ph
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临界点附近Chern-Simons涨落的实时动力学

Real-time dynamics of Chern-Simons fluctuations near a critical point

Kazuki Ikeda, Dmitri E. Kharzeev, Yuta Kikuchi

摘要:

研究了带有$θ$项的$(1+1)$维大质量Schwinger模型的实时拓扑磁化率.我们评估了电场的实时关联函数,它表示$(1+1)$维的拓扑Chern-Pontryagin数密度。在位于$θ=π$和费米子质量$m$与耦合$g$之比$m/g \approx 0.33$的宇称破缺临界点附近,我们观察到拓扑磁化率的急剧最大值。我们解释这个最大的临界点附近的临界波动的增长,并绘制大量的Schwinger模型,QCD附近的临界点,居里点附近的铁电体之间的类比。

英文摘要:

The real-time topological susceptibility is studied in $(1+1)$-dimensional massive Schwinger model with a $θ$-term. We evaluate the real-time correlation function of electric field that represents the topological Chern-Pontryagin number density in $(1+1)$ dimensions. Near the parity-breaking critical point located at $θ=π$ and fermion mass $m$ to coupling $g$ ratio of $m/g \approx 0.33$, we observe a sharp maximum in the topological susceptibility. We interpret this maximum in terms of the growth of critical fluctuations near the critical point, and draw analogies between the massive Schwinger model, QCD near the critical point, and ferroelectrics near the Curie point.

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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