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arXiv 1507.03508hep-ph
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有限温度下的尺度不变恢复扰动

Scale Invariant Resummed Perturbation at Finite Temperatures

J. -L. Kneur, M. B. Pinto

摘要:

我们使用四次相互作用的标量模型来说明如何结合重整化群(RG)的性质的非微扰变分技术有效地恢复热场论的微扰展开。由此产生的收敛性和规模的依赖性优化的化学量,在这里说明了两个循环的顺序,大大改善相比,标准的微扰展开,以及其他相关的方法,如筛选扰动或(merged)硬热循环扰动,错过RG不变性,我们解释。该方法具有很强的通用性和易于实现的特点,是一种处理热QCD等场论中相变问题的潜在的分析方法。

英文摘要:

We use the scalar model with quartic interaction to illustrate how a nonperturbative variational technique combined with renormalization group (RG) properties efficiently resums perturbative expansions in thermal field theories. The resulting convergence and scale dependence of optimized thermodynamical quantities, here illustrated up to two-loop order, are drastically improved as compared to standard perturbative expansions, as well as to other related methods such as the screened perturbation or (resummed) hard-thermal-loop perturbation, that miss RG invariance as we explain. Being very general and easy to implement, our method is a potential analytical alternative to deal with the phase transitions of field theories such as thermal QCD.

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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