The University of Southampton
University of Southampton Institutional Repository

Hyper-scaling relations in the conformal window from dynamic AdS/QCD

Hyper-scaling relations in the conformal window from dynamic AdS/QCD
Hyper-scaling relations in the conformal window from dynamic AdS/QCD
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.
2470-0029
1-12
Evans, Nicholas
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
Scott, Marc
4a6abe2e-59fb-4a70-8452-7c13bd0c5ce2
Evans, Nicholas
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
Scott, Marc
4a6abe2e-59fb-4a70-8452-7c13bd0c5ce2

Evans, Nicholas and Scott, Marc (2014) Hyper-scaling relations in the conformal window from dynamic AdS/QCD. Physical Review D, (arXiv:1405.5373), 1-12.

Record type: Article

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.

Text
1405.5373.pdf - Accepted Manuscript
Download (826kB)

More information

Accepted/In Press date: 21 May 2014
e-pub ahead of print date: 13 June 2014
Published date: 22 September 2014
Organisations: Chemistry, Theory Group

Identifiers

Local EPrints ID: 368053
URI: https://eprints.soton.ac.uk/id/eprint/368053
ISSN: 2470-0029
PURE UUID: eeff89f6-a1dc-43a9-9b62-f30080908c4f

Catalogue record

Date deposited: 14 Aug 2014 12:20
Last modified: 20 Nov 2017 17:33

Export record

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of https://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×