Introductory lectures to large-N QCD phenomenology and lattice results

Abstract

An elementary, pedagogical introduction to the large-N limit of QCD and to its phenomenological implications is presented, and a survey of lattice results in the 't Hooft limit is briefly discussed.

60 pages, 25 eps figures, prepared for submission to Progress in Particle and Nuclear Physics; v2: minor text revision, added references: version published in the journal

References in corpus (101)

• Linear Confinement and AdS/QCD
• The QCD transition temperature: results with physical masses in the continuum limit
• The QCD transition temperature: results with physical masses in the continuum limit II.
• Viscosity, Black Holes, and Quantum Field Theory
• Exploring improved holographic theories for QCD: Part II
• Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
• SU(N) gauge theories at large N
• Inverse magnetic catalysis and the Polyakov loop
• QCD Phase Transition in a Strong Magnetic Background
• Center-stabilized Yang-Mills theory: confinement and large $N$ volume independence
• QCD and dimensional deconstruction
• Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
• Deconfinement and Gluon Plasma Dynamics in Improved Holographic QCD
• Superconductivity of QCD vacuum in strong magnetic field
• Nature of the f_0(600) from its N_c dependence at two loops in unitarized Chiral Perturbation Theory
• Volume independence in large Nc QCD-like gauge theories
• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• Magnetic field-induced gluonic (inverse) catalysis and pressure (an)isotropy in QCD
• 1/q^2 Corrections and Gauge/String Duality
• Improved Holographic QCD
• Toward a Systematic Holographic QCD: A Braneless Approach
• Quark-hadron phase transition in a magnetic field
• Baryons and the phase diagram for a large number of colors and flavors
• Comparing the drag force on heavy quarks in N=4 super-Yang-Mills theory and QCD
• Renormalized Polyakov loops in many representations
• String Theory and Quantum Chromodynamics
• Effective String Theory Revisited
• Non-lattice simulation for supersymmetric gauge theories in one dimension
• A BPS Skyrme model and baryons at large Nc
• QCD Thermodynamics from the Lattice
• Finite size phase transitions in QCD with adjoint fermions
• Narrow Tetraquarks at Large N
• (In)validity of large N orientifold equivalence
• Glueball masses in the large N limit
• N=4 Super Yang-Mills from the Plane Wave Matrix Model
• New Phases of SU(3) and SU(4) at Finite Temperature
• Color Screening, Casimir Scaling, and Domain Structure in G(2) and SU(N) Gauge Theories
• Fuzzy Bags and Wilson Lines
• Corrections to Nambu-Goto energy levels from the effective string action
• The discontinuities of conformal transitions and mass spectra of V-QCD
• Closed flux tubes and their string description in D=3+1 SU(N) gauge theories
• On the effective theory of long open strings
• Onset Transition to Cold Nuclear Matter from Lattice QCD with Heavy Quarks
• Polyakov loop and correlator of Polyakov loops at next-to-next-to-leading order
• Continuum Thermodynamics of the GluoN_c Plasma
• The string tension from smeared Wilson loops at large N
• Covering the Fermi Surface with Patches of Quarkyonic Chiral Spirals
• The pressure of the SU(N) lattice gauge theory at large-N
• Deconfinement phase transition in N=4 super Yang-Mills theory on RxS^3 from supersymmetric matrix quantum mechanics
• Some Thermodynamic Aspects of Pure Glue, Fuzzy Bags and Gauge/String Duality
• A precise calculation of the fundamental string tension in SU(N) gauge theories in 2+1 dimensions
• Symmetry Breaking In Twisted Eguchi-Kawai Models
• Closed k-strings in SU(N) gauge theories : 2+1 dimensions
• The closed string spectrum of SU(N) gauge theories in 2+1 dimensions
• Large-N reduction in QCD-like theories with massive adjoint fermions
• The AdS/QCD Correspondence: Still Undelivered
• Poincare invariance in effective string theories
• Phase structure of twisted Eguchi-Kawai model
• Thermodynamics of SU(N) Yang-Mills theories in 2+1 dimensions I - The confining phase
• Large-N Structure of Tetraquark Mesons
• Trace Anomaly, Thermal Power Corrections and Dimension Two condensates in the deconfined phase
• Large N_c confinement and turbulence
• Breakdown of large-N quenched reduction in SU(N) lattice gauge theories
• Susceptibility of the QCD vacuum to CP-odd electromagnetic background fields
• Static potential, force, and flux-tube profile in 4D compact U(1) lattice gauge theory with the multi-level algorithm
• On the running of the bare coupling in SU(N) lattice gauge theories
• Solving two-dimensional large-N QCD with a nonzero density of baryons and arbitrary quark mass
• The interface free energy: Comparison of accurate Monte Carlo results for the 3D Ising model with effective interface models
• Near the sill of the conformal window: gauge theories with fermions in two-index representations
• Finite Volume Phases of Large N Gauge Theories with Massive Adjoint Fermions
• The nuclear liquid-gas phase transition at large $N_c$ in the Van der Waals approximation
• Probing boundary-corrections to Nambu-Goto open string energy levels in 3d SU(2) gauge theory
• Twisted space-time reduced model of large N QCD with two adjoint Wilson fermions
• The partition function of interfaces from the Nambu-Goto effective string theory
• Large-N reduction of SU(N) Yang-Mills theory with massive adjoint overlap fermions
• QCD-Thermodynamics using 5-dim Gravity
• Glueball and meson propagators of any spin in large-N QCD
• Spatial string tension of finite temperature QCD matter in gauge/gravity duality
• Trouble Finding the Optimal AdS/QCD
• Confinement- Deconfinement Phase Transition in Hot and Dense QCD at Large N
• Burgers' equation in 2D SU(N) YM
• Revisiting the deconfinement phase transition in SU(4) Yang-Mills theory in 2+1 dimensions
• Mesons at large Nc from lattice QCD
• On the spectrum of closed k=2 flux tubes in D=2+1 SU(N) gauge theories
• The Stefan-Boltzmann law in a small box and the pressure deficit in hot SU(N) lattice gauge theory
• Analytical study of a gas of gluonic quasiparticles at high temperature: effective mass, pressure and trace anomaly
• The static quark potential from a multilevel algorithm for the improved gauge action
• Possible Ferromagnetism in the Large N(c) and N(f) limit of quark matter
• The vector meson mass in the large N limit of QCD
• The confining string beyond the free-string approximation in the gauge dual of percolation
• Complex Burgers' equation in 2D SU(N) YM
• Lattice calculations of the spectroscopy of baryons with broken flavor SU(3) symmetry and 3, 5, or 7 colors
• The Dichotomous Nucleon: Some Radical Conjectures for the Large Nc Limit
• Eigenvalue density of Wilson loops in 2D SU(N) YM
• Glueballs and the Yang-Mills plasma in a $T$-matrix approach
• Matrix model for deconfinement in an SU(2) gauge theory in 2+1 dimensions
• A large N phase transition in the continuum two dimensional SU(N) X SU(N) principal chiral model
• A numerical investigation of orientifold planar equivalence for quenched mesons
• Tunneling in two dimensional QCD
• A Linear Equation for Wilson Loops
• Form factor and width of a quantum string

Cited by in corpus (29)

• A lattice study of the jet quenching parameter
• Effective holographic models for QCD: glueball spectrum and trace anomaly
• Large-$N_c$ naturalness in coupled-channel meson-meson scattering
• Criticality from Einstein-Maxwell-dilaton holography at finite temperature and density
• Tetraquarks in large-$N_c$ QCD
• Hagedorn spectrum and thermodynamics of SU(2) and SU(3) Yang-Mills theories
• Exceptional thermodynamics: The equation of state of G(2) gauge theory
• The Myriad Uses of Instantons
• Effective holographic models for QCD: Thermodynamics and viscosity coefficients
• On a novel evalutation of the hadronic contribution to the muon's $g-2$ from QCD
• On the weak N-dependence of SO(N) and SU(N) gauge theories in 2+1 dimensions
• Finite-temperature phase transitions of third and higher order in gauge theories at large $N$
• Effective models of a semi-quark gluon plasma
• An Exceptional G(2) Extension of the Standard Model from the Correspondence with Cayley-Dickson Algebras Automorphism Groups
• Thermodynamics of the Glueball Resonance Gas
• Melting of scalar mesons and black-hole quasinormal modes in a holographic QCD model
• When cold, dense quarks in 1+1 and 3+1 dimensions are not a Fermi liquid
• QCD in magnetic field, Landau levels and double-life of unbroken center-symmetry
• Large N Scalars: From Glueballs to Dynamical Higgs Models
• A holographic relation between the deconfinement temperature and gluon condensate
• Investigating jet quenching on the lattice
• Spectrum of Large N Glueballs: Holography vs Lattice
• QCD, with Strings Attached
• $N_C$ evolution of the light meson resonances
• Building models of quarks and gluons with an arbitrary number of colors using Cartan-Polyakov loops
• Universal aspects in the equation of state for Yang-Mills theories
• Heavy baryons in the large Nc limit
• Fine structure of the confining string in an analytically solvable 3D model
• The Resurgence of the G(2) Group for the Strong Sector and the Emergence of Dark Matter