SU(N) gauge theories at large N
arXiv:1210.4997 · doi:10.1016/j.physrep.2013.01.001
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
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- Excited Heavy Baryons and Their Symmetries I: Formalism
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- Observation of deconfinement in a cold dense quark medium
- Gravitational collapse and thermalization in the hard wall model
- Dark matter scattering cross section and dynamics in dark Yang-Mills theory
- Lattice studies of the gauge theory with two fundamental and three antisymmetric Dirac fermions
- Large quantum field theory
- A different kind of string
- Testing volume independence of SU(N) pure gauge theories at large N
- Hagedorn spectrum and thermodynamics of SU(2) and SU(3) Yang-Mills theories
- Jarzynski's theorem for lattice gauge theory
- Dark QCD Matters
- Tetraquarks in large- QCD
- Glueballs and Strings in Yang-Mills theories
- Exceptional thermodynamics: The equation of state of G(2) gauge theory
- Asymptotic safety with Majorana fermions and new large N equivalences
- Effective potential for SU(2) Polyakov loops and Wilson loop eigenvalues
- Twisted space-time reduced model of large N QCD with two adjoint Wilson fermions
- Gravitational Waves at Strong Coupling from an Effective Action
- Lattice study of large QCD
- Constraints on the decay rate of a scalar glueball from gauge/gravity duality
- dependence in trace deformed Yang-Mills theory: a lattice study
- Yang--Mills Glueballs as Closed Bosonic Strings
- Self-interacting QCD strings and string balls
- Glueballs amass at RHIC and LHC Colliders! - The early quarkless 1st order phase transition at MeV - from pure Yang-Mills glue plasma to GlueBall-Hagedorn states
- Theta dependence of the deconfining phase transition in pure SU(N_c) Yang-Mills theories
- Glueball and meson propagators of any spin in large-N QCD
- Repurposing lattice QCD results for composite phenomenology
- Holographic glueballs from the circle reduction of Romans supergravity
- A Simple Worldsheet Black Hole
- A lattice QCD study of generalized gluelumps
- Large N phase transitions in supersymmetric Chern-Simons theory with massive matter
- Spectrum of the open QCD flux tube and its effective string description I: 3d static potential in SU(N=2,3)
- Color dependence of the topological susceptibility in Yang-Mills theories
- N=2 gauge theories and quantum phases
- A novel background field approach to the confinement-deconfinement transition
- Casimir scaling and Yang-Mills glueballs
- The Myriad Uses of Instantons
- The Large limit of QCD on the lattice
- Stealth dark matter confinement transition and gravitational waves
- Phase structure and propagators at nonvanishing temperature for QCD and QCD-like theories
- String tensions in deformed Yang-Mills theory
- The Nc dependencies of baryon masses: Analysis with Lattice QCD and Effective Theory
- Confining Strings, Infinite Statistics and Integrability
- Phases of planar 5-dimensional supersymmetric Chern-Simons theory
- Yang-Mills theories on the lattice: scale setting and topology
- The static quark potential from a multilevel algorithm for the improved gauge action
- Emergent gravity from Eguchi-Kawai reduction
- Effective QCD string beyond Nambu-Goto
- The Continuum Phase Diagram of the 2d Non-Commutative lambda phi**4 Model
- The Polyakov loop in various representations in the confined phase of QCD
- The resonance as a dynamically generated state: the compositeness condition and the large evolution
- 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
- The QCD Trace Anomaly at Strong Coupling from M-Theory
- Baryon resonances in large QCD
- Topological susceptibility in QCD with two flavors and 3-5 colors -- a pilot study
- Effective models of a semi-quark gluon plasma
- Probing the holographic dilaton
- Topology and dependence in finite temperature lattice gauge theory
- Lattice calculations of the spectroscopy of baryons with broken flavor SU(3) symmetry and 3, 5, or 7 colors
- Strong coupling from non-equilibrium Monte Carlo simulations
- Simple chromatic properties of gradient flow
- Domain walls and deconfinement: a semiclassical picture of discrete anomaly inflow
- Finite temperature properties of QCD with two flavors and three, four and five colors
- The fate of the critical endpoint at large
- Nonlocal Nambu-Jona-Lasinio model and chiral chemical potential
- Correlation Functions of the SU(infinity) Principal Chiral Model
- Matrix model for deconfinement in an SU(2) gauge theory in 2+1 dimensions
- Large N Approach to Kaon Decays and Mixing 28 Years Later: Delta I = 1/2 Rule, \hat B_K and Delta M_K
- Recent results in large-N lattice gauge theories
- Thermodynamics of the Glueball Resonance Gas
- The QCD -function On The String Worldsheet
- Confining strings in three-dimensional gauge theories beyond the Nambu--Gotō approximation
- Numerical stochastic perturbation theory applied to the twisted Eguchi-Kawai model
- Fractional topological charge in gauge theories without dynamical quarks
- On the Landau-gauge adjoint quark propagator
- Matrix model for deconfinement in a SU(Nc) gauge theory in 2+1 dimensions
- When cold, dense quarks in 1+1 and 3+1 dimensions are not a Fermi liquid
- Large N lattice QCD and its extended strong-weak connection to the hypersphere
- Dark Matter from Dark Glueball Dominance
- QCD in magnetic field, Landau levels and double-life of unbroken center-symmetry
- Perturbative aspects of the deconfinement transition -- Physics beyond the Faddeev-Popov model
- Partition function of N=2* SYM on a large four-sphere
- The large N limit of SU(N) integrals in lattice models
- Spectrum of very excited flux tubes in SU(3) gauge theory
- Progress applying density of states for gravitational waves
- Conformal perturbation theory confronts lattice results in the vicinity of a critical point
- Polyakov loop, gluon mass, gluon condensate and its asymmetry near deconfinement
- Neutron stars in the large- limit
- Center phase transition from matter propagators in (scalar) QCD
- Spatial volume dependence for 2+1 dimensional SU(N) Yang-Mills theory
- Advances in using density of states for large-N Yang--Mills
- Aspects of the QCD -vacuum
- Jet quenching from the lattice
- Investigating jet quenching on the lattice
- Spectrum of Large N Glueballs: Holography vs Lattice
- Thermodynamics of large N gauge theory from top down holography
- Schrödinger functional boundary conditions and improvement for N>3
- A window on infrared QCD with small expansion parameters
- Glueball masses in 2+1 dimensional SU(N) gauge theories with twisted boundary conditions
- Theta dependence of 4D SU(N) gauge theories at finite temperature
- Gross-Witten-Wadia Phase Transition in Induced QCD on the Graph
- Induced QCD with two auxiliary bosonic fields
- A Scaling Relation, -type Deconfinement Phases and Imaginary Chemical Potentials in Finite Temperature Large- Gauge Theories
- Thermal evolution of dark matter and gravitational-wave production in the early universe from a symplectic glueball model
- Volume dependence in 2+1 Yang-Mills theory
- Spectroscopy of SU(4) lattice gauge theory with fermions in the two index anti-symmetric representation
- The string tension for Large N gauge theory from smeared Wilson loops
- Interglueball potential in SU(N) lattice gauge theory
- The thermodynamics of large-N QCD and the nature of metastable phases
- stability and continuity in twisted Eguchi-Kawai model with two-flavor adjoint fermions
- Generalized symmetry constraints on deformed 4d (S)CFTs
- Scalar and tensor glueball decay rates from the Witten-Sakai-Sugimoto model
- Hydrodynamics of the Polyakov Line in SU Yang-Mills
- Towers of positive parity excited baryons and their mixing in the large limit
- Review of Neutral Naturalness
- The gap equations of background field invariant Refined Gribov-Zwanziger action proposals and the deconfinement transition
- Large scaling and factorization in SU() Yang-Mills gauge theory
- Meson spectrum in SU(N) gauge theories with quarks in higher representations: A check of Casimir scaling hypothesis
- Large- gauge theory and chiral random matrix theory
- Perturbative study of large principal chiral model with twisted reduction
- evolution of the light meson resonances
- Meson spectrum in the large limit
- Dark-technicolour at colliders
- On the holographic width of flux tubes
- Large Thermodynamics with Dynamical Fermions
- Hyper Stealth Dark Matter and Long-Lived Particles
- Heavy baryons in the large Nc limit
- Non-perturbative quantum Yang--Mills at finite temperature beyond lattice: a Dyson--Schwinger approach
- Large Nc volume reduction and chiral random matrix theory
- A comparison of updating algorithms for large N reduced models
- Fine structure of the confining string in an analytically solvable 3D model
- Sp(4) gauge theories and beyond the standard model physics
- High-Precision Bootstrap of Multimatrix Quantum Mechanics
- Casimir effect in critical models from non-equilibrium Monte Carlo simulations
- Lieb-Mattis ordering theorem of electronic energy levels in the thermodynamic limit
- Remarks on correlators of Polyakov Loops
- Solution of the Klein-Gordon equation in external Yang-Mills gauge field
- Confinement/deconfinement transition temperature from the Polyakov loop potential and gauge-invariant gluon mass
- The phases of QCD reached in terrestrial and cosmic colliders
- Hagedorn spectrum and equation of state of Yang-Mills theories
- Correction to Nambu-Jona-Lasinio model from QCD at the next-to-leading order
- The 't Hooft coupling and baryon mass splitting in the large-N chiral model
- Squared width and profile of the confining flux tube in the U(1) LGT in 3D
- The Fröhlich-Morchio-Strocchi mechanism: A underestimated legacy
- Equivalence of large- gauge theories on a group manifold and its coset space