2015
DOI: 10.1103/physrevd.92.125035
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O(N)model within theΦ-derivable expansion to orderλ2: On the

Abstract: We discuss various aspects of the O(N )-model in the vacuum and at finite temperature within the Φ-derivable expansion scheme to order λ 2 . In continuation of an earlier work, we look for a physical parametrization in the N = 4 case that allows us to accommodate the lightest mesons. Using zero-momentum curvature masses to approximate the physical masses, we find that, in the parameter range where a relatively large sigma mass is obtained, the scale of the Landau pole is lower compared to that obtained in the … Show more

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Cited by 21 publications
(44 citation statements)
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“…It is noted that the previous studies also throw light on the loss of solutions of the gap equation [35,50]. Similar to the analysis in these papers, the algorithm we employ in this paper also meet this issue when dealing with the evolution from the Wigner solution to the pseudo-Wigner solution, because the derivatives of the effective quark masses M 0 u , M 0 s might diverge for some values of (T, μ) as the current quark mass increases.…”
Section: Introductionmentioning
confidence: 72%
“…It is noted that the previous studies also throw light on the loss of solutions of the gap equation [35,50]. Similar to the analysis in these papers, the algorithm we employ in this paper also meet this issue when dealing with the evolution from the Wigner solution to the pseudo-Wigner solution, because the derivatives of the effective quark masses M 0 u , M 0 s might diverge for some values of (T, μ) as the current quark mass increases.…”
Section: Introductionmentioning
confidence: 72%
“…It is noted that the previous studies also throw light on the loss of solutions of the gap equation [35,50]. Similar to the analysis in these papers, the algorithm we employ in this paper also meet this issue when dealing with the evolution from the Wigner solution to the pseudo-Wigner solution, because the derivatives of the effective quark masses M ′ u , M ′ s might diverge for some values of (T, µ) as the current quark mass increases.…”
Section: Introductionmentioning
confidence: 72%
“…In this localized approximation the dressed bosonic inverse propagator appearing in ( 7) is of tree-level type, just that the tree-level mass is replaced by the one-loop curvature mass M 2 (φ) ≡ m2 (φ)+Π(K = 0; φ). Since with a homogeneous scalar background the curvature mass does not depend on the momentum, the renormalization of the integral becomes an easy task, as discussed in [23] (see also (58) in Sec. V).…”
Section: Localized Gaussian Approximation In the Yukawa Modelmentioning
confidence: 99%
“…The superscripts indicate the absence or the presence of statistical factors in the respective integrands. In a covariant calculation the vacuum part T (0) (m f ) is the integral in (23), while in a noncovariant calculation it is…”
Section: A Brute Force Calculationmentioning
confidence: 99%