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

Abstract

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 values, we find that the mass ratios, M/sqrt(K), appear to show a rapid approach to the large-N limit, and, indeed, can be described all the way down to SU(2) using just a leading O(1/NxN) correction. We confirm that the smooth large-N limit we find, is obtained by keeping a constant 't Hooft coupling. We also calculate the topological charge of the gauge fields. We observe that, as expected, the density of small-size instantons vanishes rapidly as N increases, while the topological susceptibility appears to have a non-zero N=infinity limit.

Discussion on the correlation time of the topological charge improved and 1 figure added; other minor changes; conclusions unchanged. To appear on JHEP

Cited by in corpus (170)

• Effective field theories for heavy quarkonium
• The Confinement Problem in Lattice Gauge Theory
• Exploring improved holographic theories for QCD: Part II
• Instantons at work
• SU(N) gauge theories at large N
• Deconfinement and Gluon Plasma Dynamics in Improved Holographic QCD
• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Glueballs and k-strings in SU(N) gauge theories : calculations with improved operators
• The high temperature phase transition in SU(N) gauge theories
• Properties of the deconfining phase transition in SU(N) gauge theories
• Heavy ions and string theory
• Theta dependence of SU(N) gauge theories
• Improved Holographic Yang-Mills at Finite Temperature: Comparison with Data
• Improved Holographic QCD
• Confining strings in SU(N) gauge theories
• QCD phenomenology of static sources and gluonic excitations at short distances
• Dynamical holographic QCD model for glueball and light meson spectra
• Topological susceptibility in the SU(3) gauge theory
• Hidden SU(N) Glueball Dark Matter
• Glueball Regge trajectories and the Pomeron -- a lattice study --
• Effects of non-perturbatively improved dynamical fermions in QCD at fixed lattice spacing
• Thermal Transport and Drag Force in Improved Holographic QCD
• Does the crossover from perturbative to nonperturbative physics in QCD become a phase transition at infinite N ?
• Sp(4) gauge theory on the lattice: towards SU(4)/Sp(4) composite Higgs (and beyond)
• Critical slowing down of topological modes
• On a Holographic Model for Confinement/Deconfinement
• Glueball masses in the large N limit
• SU(2) lattice gluon propagator: continuum limit, finite-volume effects and infrared mass scale m_IR
• The static three-quark SU(3) and four-quark SU(4) potentials
• The deconfinement transition in SU(N) gauge theories
• SU(N) gauge theories in 3+1 dimensions: glueball spectrum, string tensions and topology
• Confining ensemble of dyons
• Mesons in large-N QCD
• Precision study of the SU(3) topological susceptibility in the continuum
• Topology of SU(N) gauge theories at T=0 and T=Tc
• SU(N) gauge theories in 2+1 dimensions -- further results
• Closed flux tubes and their string description in D=3+1 SU(N) gauge theories
• Spectrum of confining strings in SU(N) gauge theories
• Nucleon mass radii and distribution: Holographic QCD, Lattice QCD and GlueX data
• On the glueball spectrum in O(a)-improved lattice QCD
• The pressure of the SU(N) lattice gauge theory at large-N
• k-string tensions in SU(N) gauge theories
• High-Precision Thermodynamics and Hagedorn Density of States
• $\theta$ dependence of 4D $SU(N)$ gauge theories in the large-$N$ limit
• Symmetry Breaking In Twisted Eguchi-Kawai Models
• Glueball Regge Trajectories in (2+1) Dimensional Gauge Theories
• Composite bosonic baryon dark matter on the lattice: SU(4) baryon spectrum and the effective Higgs interaction
• Casimir scaling and renormalization of Polyakov loops in large-N gauge theories
• Effective string description of confining flux tubes
• The topological susceptibility in the large-N limit of SU(N) Yang-Mills theory
• Theta-dependence of the spectrum of SU(N) gauge theories
• Glueball scattering cross section in lattice SU(2) Yang-Mills theory
• Introductory lectures to large-N QCD phenomenology and lattice results
• Hadronic Spectra from Deformed AdS Backgrounds
• Multiscale confining dynamics from holographic RG flows
• Confinement from Merons
• Topological susceptibility of SU(N) gauge theories at finite temperature
• Quenched mesonic spectrum at large N
• Monopole clusters at short and large distances
• A Cosmic Selection Rule for Glueball Dark Matter Relic Density
• Quantum broadening of k-strings in gauge theories
• Lattice studies of the $Sp(4)$ gauge theory with two fundamental and three antisymmetric Dirac fermions
• B decays into light scalar particles and glueball
• Debye screening mass near deconfinement from holography
• Jarzynski's theorem for lattice gauge theory
• Non-perturbative Test of the Witten-Veneziano Formula from Lattice QCD
• Glueballs and Strings in $Sp(2N)$ Yang-Mills theories
• The dynamical holographic QCD method for hadron physics and QCD matter
• Anomalous dimensions and scalar glueball spectroscopy in AdS/QCD
• Towards a Perfect QCD Gravity Dual
• Confinement, Glueballs and Strings from Deformed AdS
• The Stringy S-matrix Bootstrap: Maximal Spin and Superpolynomial Softness
• The running of the coupling in SU(N) pure gauge theories
• Spin Two Glueball Mass and Glueball Regge Trajectory from Supergravity
• Large mass hierarchies from strongly-coupled dynamics
• Large-$N$ $SU(N)$ Yang-Mills theories with milder topological freezing
• Once more on the interrelation between Abelian monopoles and P-vortices in SU(2) LGT
• Large-$N$ expansion and $\theta$-dependence of $2d$ $C{P}^{N-1}$ models beyond the leading order
• Exploring the Universe with Dark Light Scalars
• Glueballs and deconfinement temperature in AdS/QCD
• Scalar and Tensor Glueballs as Gravitons
• Holographic glueballs from the circle reduction of Romans supergravity
• A lattice QCD study of generalized gluelumps
• Topology and chiral symmetry breaking in SU(N) gauge theories
• Center vortex model for the infrared sector of SU(3) Yang-Mills theory: Topological susceptibility
• Two-gluon and trigluon glueballs from dynamical holography QCD
• Lattice gauge theory without link variables
• Quirks in supersymmetry with gauge coupling unification
• On the mass of the world-sheet `axion' in SU(N) gauge theories in 3+1 dimensions
• The Laplacian Gauge Gluon Propagator in SU(N_c)
• Large $N_c$ scaling of meson masses and decay constants
• Methods for Pseudoscalar Flavour-Singlet Mesons with Staggered Fermions
• Lattice calculations of hadron properties
• On the gauge-algebra dependence of Landau-gauge Yang-Mills propagators
• $\theta$-dependence and center symmetry in Yang-Mills theories
• The Large $N_c$ limit of QCD on the lattice
• Tensor Glueball Photoproduction and Decay
• Calorons and monopoles from smeared SU(2) lattice fields at non-zero temperature
• SO(N) gauge theories in 2+1 dimensions: glueball spectra and confinement
• Strong to weak coupling transitions of SU(N) gauge theories in 2+1 dimensions
• Exact Chiral Symmetry on the Lattice: QCD Applications
• Instantons in QCD with Many Colors
• Evaporation of the gluon condensate: a model for pure gauge SU(3)_c phase transition
• The Nc dependencies of baryon masses: Analysis with Lattice QCD and Effective Theory
• Spectra of glueballs and oddballs and the equation of state from holographic QCD
• Scalar and higher even spin glueball masses from an anomalous modified holographic model
• Universality of k-string Tensions from Holography and the Lattice
• $Sp(2N)$ Yang-Mills theories on the lattice: scale setting and topology
• Lattice status of gluonia/glueballs
• <A^2> Condensate, Bianchi Identities and Chromomagnetic Fields Degeneracy in SU(2) YM Theory
• The topological susceptibility and f_pi from lattice QCD
• Beta-functions for a SU(2) Matrix Model in 2 + epsilon Dimensions
• Confinement from Instantons or Merons
• SU(2) Gluodynamics and HP1 sigma-model embedding: Scaling, Topology and Confinement
• Topology and Low Lying Fermion Modes
• Is $N=2$ Large?
• Towards a solution of pure Yang-Mills theory in 3+1 dimensions
• Investigating the conformal behaviour of SU(2) with one adjoint Dirac flavor
• Positivity Bounds on Massive Vectors
• SO(2N) and SU(N) gauge theories in 2+1 dimensions
• The locality of the square-root method for improved staggered quarks
• Confining Effective Theories Based on Instantons and Merons
• BPS Z(N) String Tensions, Sine Law and Casimir Scaling and Integrable Field Theories
• Lectures on nonperturbative QCD ( Nonperturbative Topological Phenomena in QCD and Related Theories)
• Eight very excited spectra and one possible axion in SU(3) lattice gauge theory
• Fractional topological charge in $SU(N)$ gauge theories without dynamical quarks
• Topology of Minimal Walking Technicolor
• Matrix model for deconfinement in a SU(Nc) gauge theory in 2+1 dimensions
• Dissecting the $\Delta I=1/2$ rule at large $N_c$
• A Study of the 't Hooft Model with the Overlap Dirac Operator
• Glueballs, strings and topology in SU(N) gauge theory
• AdS gravity and glueball spectrum
• Lattice Gauge Fields Topology Uncovered by Quaternionic sigma-model Embedding
• Discretisation effects in the topological susceptibility in lattice QCD
• The conformal anomaly of k-strings
• k-string tensions in the 3-d SU(N) Georgi-Glashow model
• Glueball enhancements in p(gamma,VV)p through vector meson dominance
• On the gauge dependence of the singlet and adjoint potentials
• SU(N) Gauge Theories Near $T_c$
• Topological charge and cooling scales in pure SU(2) lattice gauge theory
• On the invariant measure for the Yang-Mills configuration space in (3+1) dimensions
• Aspects of the QCD $\theta$-vacuum
• Parton physics of the large-$N_c$ mesons
• Spectrum of Large N Glueballs: Holography vs Lattice
• On the Continuum Limit of Topological Charge Density Distribution
• On the spectrum of pure Yang-Mills theory
• Variational Monte Carlo with Neural Network Quantum States for Yang-Mills Matrix Model
• One Loop Calculations in Gauge Theories Regulated on an $x^{+}$-$p^{+}$ Lattice
• A Scaling Relation, $Z_m$-type Deconfinement Phases and Imaginary Chemical Potentials in Finite Temperature Large-$N$ Gauge Theories
• Do Instantons and Strings Cluster when the Number of Colors is Large?
• ${\mathbb{Z}}_N$ stability and continuity in twisted Eguchi-Kawai model with two-flavor adjoint fermions
• The critical region of strong-coupling lattice QCD in different large-N limits
• Vacuum structure and string tension in Yang-Mills dimeron ensembles
• K-string tensions at finite temperature and integrable models
• Topology and Confinement in SU(N) Gauge Theories
• Glueball Spectrum and Regge Trajectory from Supergravity
• Topology of trace deformed Yang-Mills theory
• Dynamical Versions to the Holographic Softwall Model: Using Type IIB Superstring Backgrounds via AdS/CFT Correspondence in Hadronic Physics
• Meson spectrum in the large $N$ limit
• Topological susceptibility and excess kurtosis in SU(3) Yang-Mills theory
• Anomalous and Linear Holographic Hard Wall Models for Glueballs and the Pomeron
• Sp(4) gauge theories and beyond the standard model physics
• Kaon weak interactions in powers of 1/Nc
• Matching of Wilson loop eigenvalue densities in 1+1, 2+1 and 3+1 dimensions
• Topology and glueballs in SU(7) Yang-Mills with open boundary conditions
• Bulk Thermodynamics of SU(N) Lattice Gauge Theories at Large-N
• Confinement and Pseudoscalar Glueball Spectrum in the $2+1$D QCD-Like Theory from the Non-Susy D$2$ Brane
• SU(2) gauge theory with one and two adjoint fermions towards the continuum limit
• Scale Setting and Topological Observables in Pure SU(2) LGT
• Instantons and chiral symmetry breaking in SU(N) gauge theories