Evans, Nicholas and Scott, Marc (2014) Hyper-scaling relations in the conformal window from dynamic AdS/QCD. Physical Review D, 90 (6), 1-12. (doi:10.1103/PhysRevD.90.065025).
Abstract
Dynamic AdS/QCD is a holographic model of strongly coupled gauge theories with the dynamics included through the running anomalous dimension of the quark bilinear, gamma. We apply it to describe the physics of massive quarks in the conformal window of SU(N_c) gauge theories with N_f fundamental flavours, assuming the perturbative two loop running for gamma. We show that to find regular, holographic, renormalization group flows in the infra-red the decoupling of the quark flavours at the scale of the mass is important and enact it through suitable boundary conditions when the flavours become on shell. We can then compute the quark condensate and the mesonic spectrum (M_rho, M_pi, M_sigma) and decay constants. We compute their scaling dependence on the quark mass for a number of examples. The model matches perturbative expectations for large quark mass and naive dimensional analysis (including the anomalous dimensions) for small quark mass. The model allows study of the intermediate regime where there is an additional scale from the running of the coupling and we present results for the deviation of scalings from assuming only the single scale of the mass.
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- Faculties (pre 2018 reorg) > Faculty of Physical Sciences and Engineering (pre 2018 reorg) > Physics & Astronomy (pre 2018 reorg) > Theory Group (pre 2018 reorg)
Current Faculties > Faculty of Engineering and Physical Sciences > School of Physics and Astronomy > Physics & Astronomy (pre 2018 reorg) > Theory Group (pre 2018 reorg)
School of Physics and Astronomy > Physics & Astronomy (pre 2018 reorg) > Theory Group (pre 2018 reorg) - Faculties (pre 2018 reorg) > Faculty of Natural and Environmental Sciences (pre 2018 reorg) > Chemistry (pre 2018 reorg)
Current Faculties > Faculty of Engineering and Physical Sciences > School of Chemistry > Chemistry (pre 2018 reorg)
School of Chemistry > Chemistry (pre 2018 reorg) - Current Faculties > Faculty of Engineering and Physical Sciences > School of Physics and Astronomy > Theory Group
School of Physics and Astronomy > Theory Group - Faculties (pre 2018 reorg) > Faculty of Physical Sciences and Engineering (pre 2018 reorg) > Physics & Astronomy (pre 2018 reorg)
Current Faculties > Faculty of Engineering and Physical Sciences > School of Physics and Astronomy > Physics & Astronomy (pre 2018 reorg)
School of Physics and Astronomy > Physics & Astronomy (pre 2018 reorg)
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