• Corpus ID: 248887583

Color dependence of the topological susceptibility in Yang-Mills theories

@inproceedings{Bennett2022ColorDO,
  title={Color dependence of the topological susceptibility in Yang-Mills theories},
  author={Ed Bennett and Deog Ki Hong and Jong-Wan Lee and C.-J. David Lin and Biagio Lucini and Maurizio Piai and Davide Vadacchino},
  year={2022}
}
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… 

Figures and Tables from this paper

$Sp(2N)$ Yang-Mills theories on the lattice: scale setting and topology

We study Yang-Mills lattice theories with Sp ( N c ) gauge group, with N c = 2 N , for N = 1 , · · · , 4 . We show that if we divide the renormalised couplings appearing in the Wilson flow by the

Fractional topological charge in $SU(N)$ gauge theories without dynamical quarks

In SU ( N ) gauge theories without dynamical quarks, we discuss how configurations with fractional topological charge, ∼ 1 /N , can arise in the vacuum and dominate in the confining phase. They are not

References

SHOWING 1-10 OF 72 REFERENCES

Topological susceptibility in SU(3) gauge theory.

TLDR
The topological susceptibility for the SU(3) Yang-Mills theory is computed by employing the expression of the topological charge density operator suggested by Neuberger's fermions and supports the Witten-Veneziano explanation for the large mass of the eta('.

$Sp(2N)$ Yang-Mills theories on the lattice: scale setting and topology

We study Yang-Mills lattice theories with Sp ( N c ) gauge group, with N c = 2 N , for N = 1 , · · · , 4 . We show that if we divide the renormalised couplings appearing in the Wilson flow by the

Interglueball potential in lattice SU(N) gauge theories

The dynamics of the glueballs is important in the context of the experimental search as well as for understanding the non-Abelian gauge theory. The glueballs of the dark 𝑆𝑈 ( 𝑁 𝑐 ) Yang-Mills

Universality of the topological susceptibility in the SU(3) gauge theory

The definition and computation of the topological susceptibility in non-abelian gauge theories is complicated by the presence of non-integrable short-distance singularities. Recently, alternative

Color dependence of tensor and scalar glueball masses in Yang-Mills theories

We report the masses of the lightest spin-0 and spin-2 glueballs obtained in an extensive lattice study of the continuum and infinite volume limits of $Sp(N_c)$ gauge theories for $N_c=2,4,6,8$. We

SU(N) gauge theories in 3+1 dimensions: glueball spectrum, string tensions and topology

Abstract We calculate the low-lying glueball spectrum, several string tensions and some properties of topology and the running coupling for SU(N) lattice gauge theories in 3 + 1 dimensions. We do so

SU(N) gauge theories in four dimensions: exploring the approach to N = infinity

We calculate the string tension, K, and some of the lightest glueball masses, M, in 3+1 dimensional SU(N) lattice gauge theories for N=2,3,4,5 . From the continuum extrapolation of the lattice
...