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

Abstract

We study Yang-Mills lattice theories with $Sp(N_c)$ gauge group, with $N_c=2N$, for $N=1,\cdots ,4$. 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 $Sp(N_c)$ theories, and extrapolate the results to the continuum limit for each $N_c$.

arXiv comment19 pages, 17 figures. v4: Typos corrected in eq. 35, Figures 3 and 4. Results unchanged

References in corpus (60)

• 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
• The SIMP Miracle
• High-precision scale setting in lattice QCD
• The SIMPlest Miracle
• The Composite Nambu-Goldstone Higgs
• SU(N) gauge theories at large N
• Fermionic UV completions of Composite Higgs models
• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Lattice QCD without topology barriers
• Glueballs and k-strings in SU(N) gauge theories : calculations with improved operators
• SU(N) gauge theories in four dimensions: exploring the approach to N = infinity
• Higher representations on the lattice: numerical simulations. SU(2) with adjoint fermions
• UV descriptions of composite Higgs models without elementary scalars
• Theta dependence of SU(N) gauge theories
• SIMP Spectroscopy
• Speeding up Lattice QCD simulations with clover-improved Wilson Fermions
• Topological susceptibility in the SU(3) gauge theory
• Gauge theories of Partial Compositeness: Scenarios for Run-II of the LHC
• Cosmology and Accelerator Tests of Strongly Interacting Dark Matter
• Sp(4) gauge theory on the lattice: towards SU(4)/Sp(4) composite Higgs (and beyond)
• Fundamental Composite Higgs Dynamics on the Lattice: SU(2) with Two Flavors
• Glueball masses in the large N limit
• SU(N) gauge theories in 3+1 dimensions: glueball spectrum, string tensions and topology
• The Deconfinement Phase Transition of Sp(2) and Sp(3) Yang-Mills Theories in 2+1 and 3+1 Dimensions
• SU(2) Gauge Theory with Two Fundamental Flavours: a Minimal Template for Model Building
• Dark Nuclei II: Nuclear Spectroscopy in Two-Colour QCD
• Light scalars in composite Higgs models
• Universality of the topological susceptibility in the SU(3) gauge theory
• Topology of SU(N) gauge theories at T=0 and T=Tc
• Simply split SIMPs
• Sp(4) gauge theories on the lattice: $N_f=2$ dynamical fundamental fermions
• 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
• The 4D SU(3) gauge theory with an imaginary theta term
• Stochastic locality and master-field simulations of very large lattices
• Color dependence of tensor and scalar glueball masses in Yang-Mills theories
• Towards glueball masses of large-$N$ $\mathrm{SU}(N)$ pure-gauge theories without topological freezing
• Self-interacting dark matter without prejudice
• Multiscale Monte Carlo equilibration: Pure Yang-Mills theory
• Lattice studies of the $Sp(4)$ gauge theory with two fundamental and three antisymmetric Dirac fermions
• Glueballs and Strings in $Sp(2N)$ Yang-Mills theories
• Large-$N$ $SU(N)$ Yang-Mills theories with milder topological freezing
• Symmetry restoration at high-temperature in two-color and two-flavor lattice gauge theories
• Update on SU(2) gauge theory with NF = 2 fundamental flavours
• Topological susceptibility of pure gauge theory using Density of States
• Linear Sigma Dark Matter
• Casimir scaling and Yang-Mills glueballs
• Composite Higgs Dynamics on the Lattice
• Singlet channel scattering in a Composite Higgs model on the lattice
• The Large $N_c$ limit of QCD on the lattice
• SO(N) gauge theories in 2+1 dimensions: glueball spectra and confinement
• A Singlet Dark Matter in the SU(6)/SO(6) Composite Higgs Model
• 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
• Scattering of Goldstone Bosons and resonance production in a Composite Higgs model on the lattice

Cited by in corpus (2)

• Lattice determination of the topological susceptibility slope ${\chi }^{\prime }$ of $2d{\mathrm{CP}}^{N-1}$ models at large $N$
• Thermal evolution of dark matter and gravitational-wave production in the early universe from a symplectic glueball model