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High Energy Physics - Phenomenology

arXiv:0809.1449 (hep-ph)
[Submitted on 8 Sep 2008 (v1), last revised 5 Jan 2009 (this version, v2)]

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

Authors:R. L. S. Farias, G. Krein, R. O. Ramos
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Abstract: 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.
Comments: 13 pages, 10 eps figures, revtex, replaced with published version
Subjects: High Energy Physics - Phenomenology (hep-ph); Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Theory (hep-th); Nuclear Theory (nucl-th)
Cite as: arXiv:0809.1449 [hep-ph]
  (or arXiv:0809.1449v2 [hep-ph] for this version)
  https://doi.org/10.48550/arXiv.0809.1449
Journal reference: Phys.Rev.D78:065046,2008
Related DOI: https://doi.org/10.1103/PhysRevD.78.065046

Submission history

From: Ricardo Farias [view email]
[v1] Mon, 8 Sep 2008 20:51:56 UTC (45 KB)
[v2] Mon, 5 Jan 2009 19:22:07 UTC (45 KB)
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