Meson-loop contributions to the quark condensate from the instanton vacuum

Kim, Hyun-Chul; Musakhanov, M.M.; Siddikov, Marat

doi:10.1016/j.physletb.2005.11.054

Cited by 25 publications

(42 citation statements)

References 34 publications

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“…Note that a recent analysis of the quark mass dependence of the chiral condensate in the instanton vacuum leading to comparable results can be found in [36].…”

Section: Chiral Effective Parameters In the Iilmsupporting

confidence: 57%

Exploring the chiral regime of QCD in the interacting instanton liquid model

et al. 2007

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The Interacting Instanton Liquid Model is used to explore the role of instanton induced dynamics in hadron structure. To support the validity of this model in the chiral regime, the quark mass dependencies of several properties are shown to agree with chiral perturbation theory, including the density of eigenmodes of the Dirac operator and the masses of the pion and nucleon. A quark mass m * = 80 MeV emerging naturally from the model is shown to specify the mass scale above which the fermion determinant is suppressed, the zero modes become subdominant, and the density of quasi-zero modes become independent of the quark mass.

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“…Note that a recent analysis of the quark mass dependence of the chiral condensate in the instanton vacuum leading to comparable results can be found in [36].…”

Section: Chiral Effective Parameters In the Iilmsupporting

confidence: 57%

Exploring the chiral regime of QCD in the interacting instanton liquid model

et al. 2007

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“…È þ È 0 , which corresponds to 1=N c corrections as pointed out in Refs. [19,20]. This next-to-leading-order (NLO) contribution can be derived straightforwardly by functional derivatives of S LO eff with respect to the meson fields:…”

Section: Effective Chiral Action From the Instanton Vacuummentioning

confidence: 99%

“…0) have been made already extensively in Refs. [14][15][16][17][18][19][20], in which the finite current-quark mass was explicitly treated [14][15][16][17][18], and meson-loop (ML) corrections showed a sizable modification to the leading N c contribution [19,20]. From these previous works, it also turned out that the ML corrections are crucial in treating the finite current-quark mass.…”

Section: Introductionmentioning

confidence: 99%

Scalar susceptibility from the instanton vacuum with meson-loop corrections

Nam

2009

Phys. Rev. D

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The scalar susceptibility ( s ) of QCD, which represents the response of the chiral condensate to a small perturbation of explicit chiral-symmetry breaking (m Þ 0), is investigated within the nonlocal chiral quark model (NLQM) based on the instanton vacuum configuration for N f ¼ 2. We also take into account 1=N c meson-loop (ML) corrections including scalar and pseudoscalar mesons. It turns out that the chiral condensate is modified to a large extend by the ML corrections in the vicinity of m ¼ 0, whereas its effect becomes weak beyond m % 100 MeV. As numerical results, we find that s ¼ À0:34 GeV 2 with the ML corrections and 0:18 GeV 2 without it. From these observations, we conclude that the ML corrections play an important role in the presence of finite current-quark mass.

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“…Its value characterizes the SχSB. In the chosen framework we can extract it directly from the effective action taking derivative over the current quark mass [36] qq = 1 2 [35]. Notice that the scale of the lattice data is 1.64 GeV , not ρ −1 ≈ 0.6 GeV .…”

Section: Quark Condensatementioning

confidence: 99%

Low energy constants ofχPTfrom the instanton vacuum model

2007

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In the framework of the instanton vacuum model we make expansion over the current mass m and number of colors Nc and evaluate O(1/Nc, m, m/Nc, m ln m/Nc)-corrections to the dynamical quark mass M , the quark condensate qq , the pion mass Mπ and decay constant Fπ. There are several sources of these corrections: meson loops, finite size of the instanton distribution and the quark-quark "tensor" interaction terms. In contrast to the expectations, we found that numerically the 1/Nc-corrections to dynamical mass are large and mostly come from meson loops. As a consequence, we have large 1/Nc-corrections to all the other quantities. To provide the values of Fπ(m = 0), qq(m = 0) in agreement with χPT, we offer a new set of parameters ρ, R. Finally, we find the low-energy SU (2) f chiral lagrangian constantsl3,l4 in a rather good correspondence with the phenomenology.

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Meson-loop contributions to the quark condensate from the instanton vacuum

Cited by 25 publications

References 34 publications

Exploring the chiral regime of QCD in the interacting instanton liquid model

Exploring the chiral regime of QCD in the interacting instanton liquid model

Scalar susceptibility from the instanton vacuum with meson-loop corrections

Low energy constants ofχPTfrom the instanton vacuum model

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