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arXiv 0809.1449hep-phcond-mat.stat-mechhep-thnucl-th
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有限温度下λ φ ^4场论线性δ展开在对称相和破缺相的适用性

Applicability of the Linear delta Expansion for the lambda phi^4 Field Theory at Finite Temperature in the Symmetric and Broken Phases

R. L. S. Farias, G. Krein, R. O. Ramos

摘要:

用线性δ展开(LDE)方法研究了具有四次相互作用的标量场的热力学性质。使用时间的形式主义的自由能进行评估,直到第二阶的LDE。该方法产生非微扰的结果,然后用于获得热力学量,如压力。研究了该模型的相变模式,即从破缺相到对称性恢复相。所得结果与其它非微扰方法及普通微扰理论所得结果进行了比较。与LDE方法,最小灵敏度原则(PMS)和最快的表观收敛(FAC)的结合使用的两个主要的优化程序的结果也相互比较,并研究在何种情况下,他们是适用或不。优化程序直接应用于自由能。

英文摘要:

The thermodynamics of a scalar field with a quartic interaction is studied within the linear delta expansion (LDE) method. Using the imaginary-time formalism the free energy is evaluated up to second order in the LDE. The method generates nonperturbative results that are then used to obtain thermodynamic quantities like the pressure. The phase transition pattern of the model is fully studied, from the broken to the symmetry restored phase. The results are compared with those obtained with other nonperturbative methods and also with ordinary perturbation theory. The results coming from the two main optimization procedures used in conjunction with the LDE method, the Principle of Minimal Sensitivity (PMS) and the Fastest Apparent Convergence (FAC) are also compared with each other and studied in which cases they are applicable or not. The optimization procedures are applied directly to the free energy.

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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