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• W1996570003 abstract "We conjecture that the phase transitions in QCD at large number of colours Ngg 1 is triggered by the drastic change in the instanton density. As a result of it, all physical observables also experience some sharp modification in the theta behaviour. This conjecture is motivated by the holographic model of QCD where confinement -deconfinement phase transition indeed happens precisely at temperature T=T_c where $theta$ dependence of the vacuum energy experiences a sudden change in behaviour: from N^2cos(theta/N) at T<T_c to costhetaexp(-N) at T>T_c. This conjecture is also supported by recent lattice studies. We employ this conjecture to study a possible phase transition as a function of kappaequiv N_f/N from confinement to conformal phase in the Veneziano limit N_fsim N when number of flavours and colours are large, but the ratio kappa is finite. Technically, we consider an operator which gets its expectation value solely from nonperturbative instaton effects. When kappa exceeds some critical value kappa> kappa_c the integral over instanton size is dominated by small-size instatons, making the instanton computations reliable with expected exp(-N) behaviour. However, when kappa<kappa_c, the integral over instaton size is dominated by large-size instantons, and the instanton expansion breaks down. This regime with kappa<kappa_c corresponds to the confinement phase. We also compute the variation of the critical kappa_c(T, mu) when the temperature and chemical potential T, mu ll Lambda_{QCD} slightly vary. We also discuss the scaling (x_i-x_j)^{-gamma_{rm det}} in the conformal phase." @default.
• W1996570003 created "2016-06-24" @default.
• W1996570003 creator A5081567851 @default.
• W1996570003 date "2014-01-01" @default.
• W1996570003 modified "2023-09-30" @default.
• W1996570003 title "Conformal window in QCD for large numbers of colors and flavors" @default.
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• W1996570003 doi "https://doi.org/10.1016/j.nuclphysa.2013.10.011" @default.
• W1996570003 hasPublicationYear "2014" @default.
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