Color dependence of the topological susceptibility in Yang-Mills theories

Abstract

For Yang-Mills theories in four dimensions, we propose to rescale the ratio between topological susceptibility and string tension squared in a universal way, dependent only on group factors. We apply this suggestion to $SU(N_c)$ and $Sp(N_c)$ groups, and compare lattice measurements performed by several independent collaborations. We show that the two sequences of (rescaled) numerical results in these two families of groups are compatible with each other. We hence perform a combined fit, and extrapolate to the common large-$N_c$ limit.

arXiv comment8 pages, 2 figures; v2 minor change, a reference added; v3. minor changes to match the version accepted in PLB

References in corpus (36)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• Properties and uses of the Wilson flow in lattice QCD
• Theta Dependence In The Large N Limit Of Four-Dimensional Gauge Theories
• SU(N) gauge theories at large N
• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Generalized Dimensional Analysis
• Glueball Spectrum for QCD from AdS Supergravity Duality
• Higher representations on the lattice: numerical simulations. SU(2) with adjoint fermions
• Speeding up Lattice QCD simulations with clover-improved Wilson Fermions
• Topological susceptibility in the SU(3) gauge theory
• Sp(4) gauge theory on the lattice: towards SU(4)/Sp(4) composite Higgs (and beyond)
• Universality of the topological susceptibility in the SU(3) gauge theory
• Topology of SU(N) gauge theories at T=0 and T=Tc
• Non-critical, near extremal AdS_6 background as a holographic laboratory of four dimensional YM theory
• Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions
• $\theta$ dependence of 4D $SU(N)$ gauge theories in the large-$N$ limit
• $\theta$ dependence in $SU(3)$ Yang-Mills theory from analytic continuation
• The topological susceptibility in the large-N limit of SU(N) Yang-Mills theory
• Multiscale confining dynamics from holographic RG flows
• Future applications of the Yang-Mills gradient flow in lattice QCD
• Color dependence of tensor and scalar glueball masses in Yang-Mills theories
• Glueballs and Strings in $Sp(2N)$ Yang-Mills theories
• Confinement, Glueballs and Strings from Deformed AdS
• Large mass hierarchies from strongly-coupled dynamics
• Holographic glueballs from the circle reduction of Romans supergravity
• Topological susceptibility of pure gauge theory using Density of States
• Casimir scaling and Yang-Mills glueballs
• QCD${}_4$ Glueball Masses from AdS-6 Black Hole Description
• The Large $N_c$ limit of QCD on the lattice
• SO(N) gauge theories in 2+1 dimensions: glueball spectra and confinement
• Glueball Scattering Amplitudes from Holography
• Ergodic sampling of the topological charge using the density of states
• On the weak N-dependence of SO(N) and SU(N) gauge theories in 2+1 dimensions
• Towards top-down holographic composite Higgs: minimal coset from maximal supergravity

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