Anomalous dimensions and scalar glueball spectroscopy in AdS/QCD

• Published in: The European physical journal. C, Particles and fields Vol. 73; no. 9; pp. 1 - 14
• Main Authors: Boschi-Filho, H., Braga, N. R. F., Jugeau, F., Torres, M. A. C.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2013; Springer; Springer Nature B.V
• Subjects: Astronomy; Astrophysics and Cosmology; Asymptotic properties; Elementary Particles; Hadrons; Heavy Ions; Infrared; Joining; Lattices; Mass spectroscopy; Mathematical analysis; Mathematical models; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Regular Article - Theoretical Physics; Scalars; String Theory; Beta Function; Scalar Glueball; Anomalous Contribution; Anomalous Dimension; Hooft Coupling
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-013-2540-5

An extended version of the AdS/QCD soft-wall model that incorporates QCD-like anomalous contributions to the dimensions of gauge theory operators is proposed. This exploratory approach leads to a relation between scalar glueball masses and beta functions. Using this relation, the properties of the glueball mass spectroscopy that emerge from phenomenological beta functions proposed in the literature are investigated. The reverse problem is also considered: starting from a linear Regge trajectory which fits the lattice glueball masses, beta functions with different asymptotic infrared behaviors are found. Remarkably, some of them present a fixed point at finite coupling.