Pure gauge QCD and holography
arXiv:1310.5913 · doi:10.1142/S0217751X14501310
Abstract
Holographic models for the pure gauge QCD vacuum are explored. The holographic renormalization of these models is considered as required by a phenomenological approach that takes the -functions of the models as the only input. This approach is done taking the dilaton as the coordinate orthogonal to the border. This choice greatly simplifies the analysis and gives a geometrical interpretation for the fixed points of the renormalization group flow. Examples are constructed that present asymptotic freedom, confinement of static quarks, either with vanishing or non-vanishing gluon condensate . The latter models require an extension of the dilaton-gravity models already considered in the literature. This extension is also determined by the only input, i.e. the -function. In addition the restrictions imposed by the trace anomaly equation are studied. In doing so a holographic derivation of this equation is presented.
9 pages