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.

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

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• SU(N) gauge theories at large N
• $\theta$ dependence of 4D $SU(N)$ gauge theories in the large-$N$ limit
• The topological susceptibility in the large-N limit of SU(N) Yang-Mills theory
• Color dependence of tensor and scalar glueball masses in Yang-Mills theories
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Cited by in corpus (4)

• Fractional topological charge in $SU(N)$ gauge theories without dynamical quarks
• Composite dynamics in Sp($2N$) gauge theories
• Thermal evolution of dark matter and gravitational-wave production in the early universe from a symplectic glueball model
• Chiral Separation Effect from Holographic QCD