AI 中文总结
研究有限温度下强子共振性质，利用热粒子概念定义有限温度两粒子散射并建立幺正关系，通过有限体积关联函数推导量子化条件，求解该条件约束热散射振幅及共振性质，还可研究真空分析中的有限时间尺寸效应。
AI 中文摘要
有限温度下强子共振的性质是热QCD介质的重要探针。本文利用热粒子概念定义有限温度下两粒子散射概念并建立热散射振幅的幺正关系。通过有限体积关联函数的骨架展开推导真空两粒子量子化条件的有限温度推广。在系统的有限体积能级求解此条件可约束热散射振幅形式及共振性质。与真空情况不同，含主要有限体积修正的运动学函数在所有能量下有限，反映热粒子因与热介质相互作用谱峰变宽。因所有晶格模拟有有限时间范围，该方法也可用于研究真空分析中的有限时间尺寸效应。
英文摘要
The properties of hadronic resonances at finite temperature constitute an important probe of the thermal QCD medium. In this work we use the concept of thermoparticles, which characterise thermally-modified but stable particle-like states, to define the notion of two-particle scattering at finite temperature, and establish a unitarity relation for the thermal scattering amplitude. We derive a finite-temperature generalisation of the vacuum two-particle quantisation condition via a skeleton expansion of the finite-volume correlation function. Solving this condition at the finite-volume energy levels of the system constrains the form of the thermal scattering amplitude, and hence the properties of resonances. In contrast to the vacuum case, the kinematic function containing the leading finite-volume corrections is finite at all energies, reflecting the fact that thermoparticles have broadened spectral peaks due to their interactions with the thermal medium. Since all lattice simulations involve a finite temporal extent, our approach can also be used to study finite-temporal size effects in vacuum analyses.
Comments33 pages, 10 figures
