Topological susceptibility in QCD with two flavors and 3-5 colors -- a pilot study

Abstract

I present a calculation of the topological susceptibility ${\chi }_T$ in $SU(N_c)$ gauge theory with $N_c=3-5$ colors and $N_f=2$ degenerate flavors of fermions. The results lie on a common curve when expressed in terms of the combination $N_c{m}_{PS}^2{t}_0$ where $m_{PS}$ is the pseudoscalar meson mass and $t_0$ is the flow parameter. ${\chi }_T$ approaches its quenched value as the pseudoscalar mass becomes large. The lattice simulations use clover fermions. They are done at a single lattice spacing, roughly matched across $N_c$, and over a restricted range of fermion masses.

arXiv comment26 pages, 15 figures; fixed title

References in corpus (26)

• A New Way to Set the Energy Scale in Lattice Gauge Theories and its Application to the Static Force and ${\alpha }_s$ in SU(2) Yang--Mills Theory
• Properties and uses of the Wilson flow in lattice QCD
• Flavor Symmetry and the Static Potential with Hypercubic Blocking
• Trivializing maps, the Wilson flow and the HMC algorithm
• Infinite N phase transitions in continuum Wilson loop operators
• Speeding up the Hybrid-Monte-Carlo algorithm for dynamical fermions
• SU(N) gauge theories at large N
• HMC algorithm with multiple time scale integration and mass preconditioning
• Testing and tuning symplectic integrators for Hybrid Monte Carlo algorithm in lattice QCD
• Hypercubic Smeared Links for Dynamical Fermions
• Mesons in large-N QCD
• Non-Gaussianities in the topological charge distribution of the SU(3) Yang--Mills theory
• Chiral perturbation theory for gradient flow observables
• Topological susceptibility and the sampling of field space in $N_f=2$ lattice QCD simulations
• Topological susceptibility in two-flavor lattice QCD with exact chiral symmetry
• Topological Susceptibility to the One-Loop Order in Chiral Perturbation Theory
• The topological susceptibility in the large-N limit of SU(N) Yang-Mills theory
• SU(4) lattice gauge theory with decuplet fermions: Schrödinger functional analysis
• Topological Susceptibility in Two Flavors Lattice QCD with the Optimal Domain-Wall Fermion
• Lattice baryons in the 1/N expansion
• Lattice study of large $N_c$ QCD
• Topological susceptibility in full QCD: lattice results versus the prediction from the QCD partition function with granularity
• Pseudoscalar Meson in Two Flavors QCD with the Optimal Domain-Wall Fermion
• The flavor dependence of $m_{\varrho }/f_{\pi }$
• Simple chromatic properties of gradient flow
• The Leutwyler-Smilga relation on the lattice

Cited by in corpus (6)

• Towards glueball masses of large-$N$ $\mathrm{SU}(N)$ pure-gauge theories without topological freezing
• Short flow-time coefficients of CP-violating operators
• The Large $N_c$ limit of QCD on the lattice
• Finite temperature properties of QCD with two flavors and three, four and five colors
• $U(1{)}_A$ axial anomaly, ${\eta }^{\prime }$, and topological susceptibility in the holographic soft-wall model
• The $\pi \pi$ scattering amplitude at large $N_{\text{c}}$