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arXiv 1401.3100hep-ph
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线性西格玛模型中强子热力学的高斯泛函方法

Thermodynamics of hadrons using the Gaussian functional method in the linear sigma model

Shotaro Imai, Hua-Xing Chen, Hiroshi Toki, Li-Sheng Geng

摘要:

利用高斯泛函方法研究了有限温度下强子的热力学性质。由于介子之间的相互作用很大,我们考虑了介子在平均场附近的涨落。通过求解薛定谔方程得到了基态能量。利用能量极小化条件得到了介子质量。由于非微扰效应,即使在自发的手征对称性破缺相中,南武-戈德斯通玻色子的质量也不为零。然后,我们考虑介子的束缚态的Bethe-Salpeter方程,并证明南布-戈德斯通定理恢复。进一步研究了手征极限和明确手征对称性破缺情况下介子质量和平均场值随温度的变化。

英文摘要:

We investigate thermodynamics of hadrons using the Gaussian functional method (GFM) at finite temperature. Since the interaction among mesons is very large, we take into account fluctuations of mesons around their mean field values using the GFM. We obtain the ground state energy by solving the Schrödinger equation. The meson masses are obtained using the energy minimization condition. The resulting mass of the Nambu-Goldstone boson is not zero even in the spontaneous chiral symmetry broken phase due to the non-perturbative effect. We consider then the bound state of mesons using the Bethe-Salpeter equation and show that the Nambu-Goldstone theorem is recovered. We investigate further the behavior of the meson masses and the mean filed value as functions of temperature for the cases of chiral limit and explicit chiral symmetry breaking.

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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