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We study paramagnetic quantum criticality in the periodic Anderson model(PAM) using cellular dynamical mean-field theory, with the numericalrenormalization group (NRG) as an impurity solver. The PAM describes anitinerant $c$ band hybridizing with a localized $f$ band. At $T=0$, it exhibitsa hybridization tuned Kondo breakdown quantum critical point (KB-QCP) from aKondo to an RKKY phase. At the KB-QCP, the $f$ band changes character fromitinerant to mainly localized, while the $c$ band remains itinerant. Weelucidate its nature in detail by performing a high-resolution, real-frequencystudy of dynamical quantities. NRG allows us to study the quantum criticalnon-Fermi-liquid (NFL) regime located between $T_{FL}<T_{NFL}$. Surprisingly,self-consistency is essential to stabilize the NFL and the QCP. TheFermi-liquid (FL) scale $T_{FL}$ decreases towards and vanishes at the QCP. At$T=0$, we find the following properties. The $f$ quasiparticle (QP) weight$Z_f$ decreases continuously as the QCP is approached from either side,vanishing only at the QCP. Therefore, $Z_f$ is nonzero in both the Kondo andthe RKKY phase; hence, the FL QP comprise $c$ and $f$ electrons in both phases.The Fermi surface (FS) volumes in the two phases differ. Whereas the large-FSKondo phase has a usual two-band structure, the small-FS RKKY phase has anunexpected three-band structure. We provide a detailed analysis ofquasiparticle properties of both the Kondo and the RKKY phase. The FSreconstruction is accompanied by the appearance of a Luttinger surface (LS) onwhich the $f$ self-energy diverges. The FS and LS volumes are related to thedensity by a generalized Luttinger sum rule. We interpret the small FS volumeand the emergent LS as evidence for $f$-electron fractionalization in the RKKYphase. Our Hall coefficient and specific heat are in good qualitative agreementwith experiment.

Emergent Properties of the Periodic Anderson Model: a High-Resolution, Real-Frequency Study of Heavy-Fermion Quantum Criticality