Mesons in large-N QCD

Abstract

We present the results of a systematic, first-principles study of the spectrum and decay constants of mesons for different numbers of color charges N, via lattice computations. We restrict our attention to states in the non-zero isospin sector, evaluating the masses associated with the ground-state and first excitation in the pseudoscalar, vector, scalar, and axial vector channels. Our results are based on a new set of simulations of four dimensional SU(N) Yang-Mills theories with the number of colors ranging from N=2 to N=17; the spectra and the decay constants are computed in the quenched approximation (which becomes exact in the 't Hooft limit) using Wilson fermions. After discussing the extrapolations to the chiral and large-N limits, we present a comparison of our results to some of the numerical computations and analytical predictions available in the literature - including, in particular, those from holographic computations.

50 pages, 39 figures

References in corpus (70)

• Gauge Theory Correlators from Non-Critical String Theory
• Low energy hadron physics in holographic QCD
• QCD and a Holographic Model of Hadrons
• Superconformal Field Theory on Threebranes at a Calabi-Yau Singularity
• Adding flavor to AdS/CFT
• Hard Scattering and Gauge/String Duality
• Towards the large N limit of pure N=1 super Yang Mills
• The Chroma Software System for Lattice QCD
• Chiral symmetry breaking from five dimensional spaces
• Chiral perturbation theory
• Mesons in Gauge/Gravity Duals - A Review
• Chiral Perturbation Theory
• Meson Spectroscopy in AdS/CFT with Flavour
• On the Foundations of Chiral Perturbation Theory
• Review of lattice results concerning low energy particle physics
• Thermodynamics of the QCD plasma and the large-N limit
• SU(N) gauge theories at large N
• Large N_c in chiral perturbation theory
• Light hadrons from lattice QCD with light (u,d), strange and charm dynamical quarks
• The wall of the cave
• Deconfinement and Gluon Plasma Dynamics in Improved Holographic QCD
• 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
• The high temperature phase transition in SU(N) gauge theories
• Nature of the f_0(600) from its N_c dependence at two loops in unitarized Chiral Perturbation Theory
• Properties of the deconfining phase transition in SU(N) gauge theories
• Holographic Models for QCD in the Veneziano Limit
• Volume independence in large Nc QCD-like gauge theories
• Quenched Light Hadron Spectrum
• Theta dependence of SU(N) gauge theories
• Improved Holographic Yang-Mills at Finite Temperature: Comparison with Data
• Nonperturbative Renormalisation of Composite Operators in Lattice QCD
• Improved Holographic QCD
• The scalar and pseudoscalar sector in a five-dimensional approach to chiral symmetry breaking
• The pion mass in finite volume
• On finite-temperature holographic QCD in the Veneziano limit
• Large N reduction in the continuum three dimensional Yang-Mills theory
• Superconformal Gauge Theories and Non-Critical Superstrings
• Does the crossover from perturbative to nonperturbative physics in QCD become a phase transition at infinite N ?
• Probing Flavored Mesons of Confining Gauge Theories by Supergravity
• Glueball masses in the large N limit
• An AdS/QCD model from tachyon condensation: II
• Twenty-first Century Lattice Gauge Theory: Results from the QCD Lagrangian
• Exotic Scalar States in the AdS/CFT Correspondence
• Topology of SU(N) gauge theories at T=0 and T=Tc
• Spectrum of confining strings in SU(N) gauge theories
• SU(N_c) gauge theories at deconfinement
• Computation of the relation between the bare lattice coupling and the MSbar coupling in SU(N) gauge theories to two loops
• The pressure of the SU(N) lattice gauge theory at large-N
• Glueball Regge Trajectories in (2+1) Dimensional Gauge Theories
• Thermodynamics of SU(N) Yang-Mills theories in 2+1 dimensions II - The deconfined phase
• The closed string spectrum of SU(N) gauge theories in 2+1 dimensions
• Non-perturbative Renormalization of Quark bilinears
• Theta-dependence of the spectrum of SU(N) gauge theories
• Chiral symmetry breaking at large N_c
• Thermodynamics of SU(N) Yang-Mills theories in 2+1 dimensions I - The confining phase
• Topological susceptibility of SU(N) gauge theories at finite temperature
• Quenched mesonic spectrum at large N
• Nature of the axial-vector mesons from their Nc behavior within the chiral unitary approach
• On the running of the bare coupling in SU(N) lattice gauge theories
• The quark mass dependence of the pion mass at infinite N
• The running of the coupling in SU(N) pure gauge theories
• The three-loop beta-fuction of QCD with the clover action
• The pion and proton mass in finite volume
• Casimir scaling of domain wall tensions in the deconfined phase of D=3+1 SU(N) gauge theories
• Mesons at large Nc from lattice QCD
• Universal signatures of the effective string in finite temperature lattice gauge theories
• The vector meson mass in the large N limit of QCD
• Topological Effects in Matrix Models representing Lattice Gauge Theories at Large N
• The Lattice Free Energy of QCD with Clover Fermions, up to Three-Loops

Cited by in corpus (48)

• From controversy to precision on the sigma meson: a review on the status of the non-ordinary $f_0(500)$ resonance
• Lattice tests of beyond Standard Model dynamics
• The glueball spectrum of SU(3) gauge theory in 3+1 dimension
• Glueball Decay Rates in the Witten-Sakai-Sugimoto Model
• The discontinuities of conformal transitions and mass spectra of V-QCD
• Universal description of radially excited heavy and light vector mesons
• Massive holographic QCD in the Veneziano limit
• Composite bosonic baryon dark matter on the lattice: SU(4) baryon spectrum and the effective Higgs interaction
• Finite coupling corrections to holographic predictions for hot QCD
• Introductory lectures to large-N QCD phenomenology and lattice results
• Large-$N_c$ naturalness in coupled-channel meson-meson scattering
• Cornering Large-$N_c$ QCD with Positivity Bounds
• Weak decay of magnetized pions
• Strong dynamics with matter in multiple representations: SU(4) gauge theory with fundamental and sextet fermions
• Tetraquarks in large-$N_c$ QCD
• Lattice study of large $N_c$ QCD
• Constraints on the $\eta {\eta }^{\prime }$ decay rate of a scalar glueball from gauge/gravity duality
• Repurposing lattice QCD results for composite phenomenology
• Universal magnetoresponse in QCD and $\mathcal{N}=4$ SYM
• Witten-Veneziano mechanism and pseudoscalar glueball-meson mixing in holographic QCD
• Large $N_c$ scaling of meson masses and decay constants
• Meson spectra of asymptotically free gauge theories from holography
• The Large $N_c$ limit of QCD on the lattice
• The Nc dependencies of baryon masses: Analysis with Lattice QCD and Effective Theory
• On a novel evalutation of the hadronic contribution to the muon's $g-2$ from QCD
• The ${\Lambda }_c(2595)$ resonance as a dynamically generated state: the compositeness condition and the large $N_c$ evolution
• Phenomenological implications of asymmetric $Ad{S}_5$ shockwave collision studies for heavy ion physics
• Non-leptonic kaon decays at large $N_c$
• The flavor dependence of $m_{\varrho }/f_{\pi }$
• Topological susceptibility in QCD with two flavors and 3-5 colors -- a pilot study
• Simple chromatic properties of gradient flow
• Radiative Meson and Glueball Decays in the Witten-Sakai-Sugimoto Model
• Holographic Observables at Large $d$
• Expanding the Interpolator Basis in the Variational Method to Explicitly Account for Backward Running States
• Dissecting the $\Delta I=1/2$ rule at large $N_c$
• Baryons under Strong Magnetic Fields or in Theories with Space-dependent $\theta$-term
• The equation of state in two-, three-, and four-color QCD at non-zero temperature and density
• Comments on high-energy total cross sections in QCD
• Baryons, multi-hadron systems, and composite dark matter in non-relativistic QCD
• Spin-1 Glueballs in the Witten-Sakai-Sugimoto Model
• Pion decay in magnetic fields
• Parton physics of the large-$N_c$ mesons
• The $\pi \pi$ scattering amplitude at large $N_{\text{c}}$
• Meson spectrum in SU(N) gauge theories with quarks in higher representations: A check of Casimir scaling hypothesis
• Top-down Holographic Glueball Decay Rates
• Non-leptonic kaon decays at large $N_c$
• Dark-technicolour at colliders
• Theory, phenomenology, and experimental avenues for dark showers: a Snowmass 2021 report