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Rinaldi, M., & Vento, V. (2022). Glueballs at high temperature within the hard-wall holographic model. Eur. Phys. J. C, 82(2), 140–10pp.
Abstract: In this investigation an holographic description of the deconfined phase transition of scalar and tensor glueballs is presented within the so called hard-wall model. The spectra of these bound states of gluons have been calculated from the linearized Einstein equations for a graviton propagating from a thermal AdS(5) space to an AdS Black-Hole. In this framework, the deconfined phase is reached via a two steps mechanism. We propose that the transition between the AdS thermal sector to the BH is described via a first order phase transition, with discontinuous masses at the critical temperature, which has been determined by Herzog's method of regulating the free energy densities. Then, the glueball masses diverge with increasing T in the BH phase and thus lead to deconfined states a la Hagedorn.
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Rinaldi, M., Ceccopieri, F. A., & Vento, V. (2022). The pion in the graviton soft-wall model: phenomenological applications. Eur. Phys. J. C, 82(7), 626–18pp.
Abstract: The holographic graviton soft-wall model, introduced to describe the spectrum of scalar and tensor glueballs, is improved to incorporate the realization of chiral-symmetry as in QCD. Such a goal is achieved by including the longitudinal dynamics of QCD into the scheme. Using the relation between AdS/QCD and light-front dynamics, we construct the appropriate wave function for the pion which is used to calculate several pion observables. The comparison of our results with phenomenology is remarkably successful.
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Rinaldi, M., & Vento, V. (2023). Phase transition in the holographic hard-wall model. Phys. Rev. D, 108(11), 114020–10pp.
Abstract: A Hawking-Page phase transition between anti-de Sitter (AdS) thermal and AdS black hole was presented as a mechanism for explaining the QCD deconfinement phase transition within holographic models. In order to implement temperature dependence in the confined phase we use a hard-wall AdS/QCD model, where the geometry at low temperatures is described also by a black hole metric. We then investigate the temperature dependence of glueball states described as gravitons propagating in deformed background spaces. Finally, we use potential models to physically describe the implications of our study.
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Rinaldi, M. (2017). GPDs at non-zero skewness in ADS/QCD model. Phys. Lett. B, 771, 563–567.
Abstract: We study Generalized Parton Distribution functions (GPDs) usually measured in hard exclusive processes and encoding information on the three dimensional partonic structure of hadrons and their spin decomposition, for non-zeroskewness within the AdS/QCD formalism. To this aim the canonical scheme to calculate GPDs at zero skewness has been properly generalized. Furthermore, we show that the latter quantities, in this non-forwardregime, are sensitive to non-trivialdetails of the hadronic light front wave function, such as a kind of parton correlations usually not accessible in studies of form factors and GPDs at zero skewness.
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Rinaldi, M., & Vento, V. (2018). Scalar and tensor glueballs as gravitons. Eur. Phys. J. A, 54(9), 151–7pp.
Abstract: The bottom-up approach of the AdS/CFT correspondence leads to the study of field equations in an AdS(5) background and from their solutions to the determination of the hadronic mass spectrum. We extend the study to the equations of AdS(5) gravitons and determine from them the glueball spectrum. We propose an original presentation of the results which facilitates the comparison of the various models with the spectrum obtained by lattice QCD. This comparison allows to draw some phenomenological conclusions.
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