• Corpus ID: 248887776

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

@inproceedings{Bennett2022Sp2NYT,
  title={\$Sp(2N)\$ Yang-Mills theories on the lattice: scale setting and topology},
  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}
}
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 quadratic Casimir C 2 ( F ) of the Sp ( N c ) group, then the resulting quantities display a good agreement among all values of N c considered, over a finite interval in flow time. We use this scaled version of the Wilson flow as a scale-setting procedure, compute the topological susceptibility of the Sp… 

Color dependence of the topological susceptibility in Yang-Mills theories

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

References

SHOWING 1-10 OF 90 REFERENCES

Color dependence of the topological susceptibility in Yang-Mills theories

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

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

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

Glueballs and strings in Sp(2N) Yang-Mills theories

Motivated in part by the pseudo-Nambu Goldstone Boson mechanism of electroweak symmetry breaking in Composite Higgs Models, in part by dark matter scenarios with strongly coupled origin, as well as

Lattice studies of the $Sp(4)$ gauge theory with two fundamental and three antisymmetric Dirac fermions

We consider the Sp (4) gauge theory coupled to N f = 2 fundamental and n f = 3 antisymmetric flavours of Dirac fermions in four dimensions. This theory serves as the microscopic origin for composite

Progress in the lattice simulations of Sp(2N) gauge theories

We report on the status of our programme to simulate Sp($2N$) gauge theories on the lattice. Motivated by the potential realization of an SU($4$)/Sp($4$)$\sim$SO($6$)/SO($5$) composite Higgs model

SO(N) gauge theories in 2 + 1 dimensions: glueball spectra and confinement

A bstractWe calculate the spectrum of light glueballs and the string tension in a number of SO(N) lattice gauge theories in 2+1 dimensions, with N in the range 3 ≤ N ≤ 16. After extrapolating to the
...