SU(N) gauge theories at large N

Abstract

We review the theoretical developments and conceptual advances that stemmed from the generalization of QCD to the limit of a large number of color charges, originally proposed by 't Hooft. Then, after introducing the gauge-invariant non-perturbative formulation of non-Abelian gauge theories on a spacetime lattice, we present a selection of results from recent lattice studies of theories with a different number of colors, and the findings obtained from their extrapolation to the 't Hooft limit. We conclude with a brief discussion and a summary.

2+97 pages, 29 pdf figures; prepared for submission to Physics Reports. V2: 3+104 pages, 30 figures: references added, discussion expanded, typos corrected: version submitted to and published in Physics Reports

References in corpus (86)

• An Improved Experimental Limit on the Electric Dipole Moment of the Neutron
• 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
• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• Exploring improved holographic theories for QCD: Part II
• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
• Infinite N phase transitions in continuum Wilson loop operators
• Deconfinement and Gluon Plasma Dynamics in Improved Holographic QCD
• 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 Masses from Lattice QCD
• Abelian duality, confinement, and chiral symmetry breaking in QCD(adj)
• 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
• String Theory and Quantum Chromodynamics
• Effective String Theory Revisited
• QCD Thermodynamics from the Lattice
• Conformality or confinement: (IR)relevance of topological excitations
• Finite size phase transitions in QCD with adjoint fermions
• Glueball masses in the large N limit
• A Rational Approach to Resonance Saturation in large-Nc QCD
• Twenty-first Century Lattice Gauge Theory: Results from the QCD Lagrangian
• Fuzzy Bags and Wilson Lines
• Corrections to Nambu-Goto energy levels from the effective string action
• The Width of the Confining String in Yang-Mills Theory
• Closed flux tubes and their string description in D=3+1 SU(N) gauge theories
• On the effective theory of long open strings
• Phase diagrams of SU(N) gauge theories with fermions in various representations
• The pressure of the SU(N) lattice gauge theory at large-N
• A precise calculation of the fundamental string tension in SU(N) gauge theories in 2+1 dimensions
• The string/gauge theory correspondence in QCD
• Symmetry Breaking In Twisted Eguchi-Kawai Models
• Quark-Gluon Plasmas and Thermalization
• Closed k-strings in SU(N) gauge theories : 2+1 dimensions
• Classification of Supersymmetric Lattice Gauge Theories by Orbifolding
• The closed string spectrum of SU(N) gauge theories in 2+1 dimensions
• Orbifold equivalence and the sign problem at finite baryon density
• The AdS/QCD Correspondence: Still Undelivered
• Renormalized Polyakov Loop in the Deconfined Phase of SU(N) Gauge Theory and Gauge/String Duality
• The Hamiltonian Approach to Yang-Mills (2+1): An Expansion Scheme and Corrections to String Tension
• Phase structure of twisted Eguchi-Kawai model
• Poincare invariance in effective string theories
• Thermodynamics of SU(N) Yang-Mills theories in 2+1 dimensions I - The confining phase
• Large N_c confinement and turbulence
• Pions in Large-$N$ Quantum Chromodynamics
• 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
• The interface free energy: Comparison of accurate Monte Carlo results for the 3D Ising model with effective interface models
• Finite Volume Phases of Large N Gauge Theories with Massive Adjoint Fermions
• Lattice Supersymmetry: Equivalence between the Link Approach and Orbifolding
• Probing boundary-corrections to Nambu-Goto open string energy levels in 3d SU(2) gauge theory
• The Seesaw with Many Right-Handed Neutrinos
• One flavor QCD
• Large-N volume reduction of lattice QCD with adjoint Wilson fermions at weak-coupling
• 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
• Relations among Supersymmetric Lattice Gauge Theories via Orbifolding
• The Width of the Color Flux Tube at 2-Loop Order
• Plaquette expectation value and lattice free energy of three-dimensional SU(N) gauge theory
• Trouble Finding the Optimal AdS/QCD
• Thermodynamics of SU(3) Gauge Theory in 2 + 1 Dimensions
• Burgers' equation in 2D SU(N) YM
• Confinement- Deconfinement Phase Transition in Hot and Dense QCD at Large N
• Revisiting the deconfinement phase transition in SU(4) Yang-Mills theory in 2+1 dimensions
• On the gauge-algebra dependence of Landau-gauge Yang-Mills propagators
• On the spectrum of closed k=2 flux tubes in D=2+1 SU(N) gauge theories
• Mesons at large Nc from lattice QCD
• Universality of k-string Tensions from Holography and the Lattice
• Phases of three dimensional large N QCD on a continuum torus
• 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
• The Dichotomous Nucleon: Some Radical Conjectures for the Large Nc Limit
• QCD-like technicolor on the lattice
• Eigenvalue density of Wilson loops in 2D SU(N) YM
• Computation of the string tension in three dimensional Yang-Mills theory using large N reduction
• A minimal quasiparticle approach for the QGP and its large-$N_c$ limits
• A large N phase transition in the continuum two dimensional SU(N) X SU(N) principal chiral model
• Chiral symmetry restoration at finite temperature in the planar limit
• Quantum Broadening of k-Strings from the AdS/CFT Correspondence
• A Linear Equation for Wilson Loops
• Tunneling in two dimensional QCD
• The spatial string tension in the deconfined phase of three dimensional QCD in the large N limit

Cited by in corpus (5)

• The static quark potential from a multilevel algorithm for the improved gauge action
• Recent results in large-N lattice gauge theories
• The string tension for Large N gauge theory from smeared Wilson loops
• Volume dependence in 2+1 Yang-Mills theory
• Large Nc volume reduction and chiral random matrix theory