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Article Dans Une Revue Nuclear Physics B - Proceedings Supplements Année : 2016

Quark Condensate from Renormalization Group Optimized Spectral Density

Jean-Loïc Kneur
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Andre Neveu
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Résumé

Our renormalization group consistent variant of optimized perturbation, RGOPT, is used to calculate the nonperturbative QCD spectral density of the Dirac operator and the related chiral quark condensate $\langle \bar q q \rangle$, for $n_f=2$ and $n_f=3$ massless quarks. Sequences of approximations at two-, three-, and four-loop orders are very stable and give $\langle \bar q q \rangle^{1/3}_{n_f=2}(2\, {\rm GeV}) = -(0.833-0.845) \bar\Lambda_2 $, and $ \langle \bar q q \rangle^{1/3}_{n_f=3}(2\, {\rm GeV}) = -(0.814-0.838) \bar\Lambda_3 $ where the range is our estimated theoretical error and $\bar\Lambda_{n_f}$ the basic QCD scale in the $\rm \bar{MS}$-scheme. We compare those results with other recent determinations (from lattice calculations and spectral sum rules).

Dates et versions

hal-01264155 , version 1 (28-01-2016)

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Citer

Jean-Loïc Kneur, Andre Neveu. Quark Condensate from Renormalization Group Optimized Spectral Density. Nuclear Physics B - Proceedings Supplements, 2016, 270, pp.98-102. ⟨10.1016/j.nuclphysbps.2016.02.021⟩. ⟨hal-01264155⟩
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