Instanton Induced Large $N$ Phase Transitions in Two and Four Dimensional QCD

Abstract

The $1/N$ expansion of the weak coupling phase of two-dimensional QCD on a sphere is constructed. It is demonstrated that the phase transition from the weak to the strong coupling phase is induced by instantons. A double scaling limit of the theory at the point of the phase transition is constructed, the value of string susceptibility is determined to be ${\gamma }_{str}=-1$. The possibility of instanton induced large $N$ phase transitions in four dimensional QCD is explored.

24 pages Some changes have been made and references added

References in corpus (2)

• Two Dimensional QCD is a String Theory
• Two Dimensional QCD as a String Theory

Cited by in corpus (85)

• Infinite N phase transitions in continuum Wilson loop operators
• Aspects of Large N Gauge Theory Dynamics as Seen by String Theory
• Lectures on non-perturbative effects in large N gauge theories, matrix models and strings
• Gauge/string duality for QCD conformal operators
• Top eigenvalue of a random matrix: large deviations and third order phase transition
• Supersymmetric Wilson loops on S^3
• Quantized Gauge Theory on the Fuzzy Sphere as Random Matrix Model
• Non-intersecting Brownian walkers and Yang-Mills theory on the sphere
• Mastering the Master Field
• Nonperturbative effects and nonperturbative definitions in matrix models and topological strings
• Large N reduction in the continuum three dimensional Yang-Mills theory
• Wilson loops: From four-dimensional SYM to two-dimensional YM
• Extended Seiberg-Witten Theory and Integrable Hierarchy
• Massive N=2 Gauge Theories at Large N
• Large N Limit of N=2 SU(N) Gauge Theories from Localization
• Extremes of N vicious walkers for large N: application to the directed polymer and KPZ interfaces
• Wilson Loops in N=2 Super-Yang-Mills from Matrix Model
• Two-dimensional QCD, instanton contributions and the perturbative Wu-Mandelstam-Leibbrandt prescription
• Phase transitions, double-scaling limit, and topological strings
• A simple derivation of the Tracy-Widom distribution of the maximal eigenvalue of a Gaussian unitary random matrix
• On the large R-charge $\mathcal{N}=2$ chiral correlators and the Toda equation
• Reunion probability of N vicious walkers: typical and large fluctuations for large N
• Complex Saddles in Two-dimensional Gauge Theory
• Phase transitions in q-deformed 2d Yang-Mills theory and topological strings
• Topological strings and large N phase transitions II: Chiral expansion of q-deformed Yang-Mills theory
• Large N_c confinement and turbulence
• Closed formula for Wilson loops for $SU(N)$ Quantum Yang-Mills Theory in two dimensions
• BPS Wilson Loops on S^2 at Higher Loops
• Modular anomaly equations in N=2* theories and their large-N limit
• Large N duality beyond the genus expansion
• Statistics of first-passage Brownian functionals
• Topological strings and large N phase transitions I: Nonchiral expansion of q-deformed Yang-Mills theory
• Near-extreme eigenvalues and the first gap of Hermitian random matrices
• Instanton contributions to Wilson loops with general winding number in two dimensions and the spectral density
• Large $N$ phase transition in $T\overline{T}$-deformed $2d$ Yang-Mills theory on the sphere
• Partial-Symmetry-Breaking Phase Transitions
• Transmutation of a Trans-series: The Gross-Witten-Wadia Phase Transition
• Instantons in QCD with Many Colors
• Black-holes, topological strings and large N phase transitions
• q-deformations of two-dimensional Yang-Mills theory: Classification, categorification and refinement
• Chern-Simons matrix models, two-dimensional Yang-Mills theory and the Sutherland model
• N = 2* Phase Transitions and Holography
• Dirac Spectra of 2-dimensional QCD-like theories
• A Novel Large-N Reduction on S^3: Demonstration in Chern-Simons Theory
• Non-analyticity in scale in the planar limit of QCD
• From effective actions to the background geometry
• Exact $T\bar{T}$-deformation of two-dimensional Yang-Mills theory on the sphere
• Eigenvalue instantons in the spectral form factor of random matrix model
• The instanton contributions to Yang-Mills theory on the torus: localization, Wilson loops and the perturbative expansion
• Matrix string states in pure 2d Yang Mills theories
• Localization for Yang-Mills Theory on the Fuzzy Sphere
• $T\overline{T}$-deformation of $q$-Yang-Mills theory
• Rectangular Wilson Loops at Large N
• Thermodynamics of theories with sixteen supercharges in non-trivial vacua
• Evaluation of the Free Energy of Two-Dimensional Yang-Mills Theory
• Two-Dimensional Gauge Theory and Matrix Model
• Entanglement entropy and the large $N$ expansion of two-dimensional Yang-Mills theory
• Two-dimensional Yang-Mills theory, Painleve equations and the six-vertex model
• Tracy-Widom distribution as instanton sum of 2D IIA superstrings
• Kosterlitz--Thouless Phase Transitions on Discretized Random Surfaces
• Entropy in quantum chromodynamics
• Non-Perturbative Large N Trans-series for the Gross-Witten-Wadia Beta Function
• Decomposition and the Gross-Taylor string theory
• Two-Dimensional Yang-Mills Theory and Moduli Spaces of Holomorphic Differentials
• Instantons and Extreme Value Statistics of Random Matrices
• A String Theory for Two Dimensional Yang-Mills Theory I
• Two-dimensional Yang-Mills theory: perturbative and instanton contributions, and its relation to QCD in higher dimensions
• Time exponentiation of a Wilson loop for Yang-Mills theories in 2+εdimensions
• Matrix models and stochastic growth in Donaldson-Thomas theory
• The Two-Dimensional O(2) Model on a Random Planar Lattice at Strong Coupling
• Large-N Universality of the Two-Dimensional Yang-Mills String
• The phase diagram of $T\bar{T}$-deformed Yang-Mills theory on the sphere
• Non-minimal couplings in two dimensional gravity: a quantum investigation
• Field Strength Correlators For 2D Yang-Mills Over Riemann Surfaces
• Algebras, traces, and boundary correlators in $\mathcal{N}=4$ SYM
• Topology Change and theta-Vacua in 2D Yang-Mills Theory
• Discontinuous behavior of perturbative Yang-Mills theories in the limit of dimensions D->2
• Double Scaling String Theory of QCD in Two Dimensions
• Nonabelian localization for gauge theory on the fuzzy sphere
• The Master Field For 2D QCD On The Sphere
• Wilson loops in the adjoint representation and multiple vacua in two-dimensional Yang-Mills theory
• A three-dimensional scalar field theory model of center vortices and its relation to k-string tensions
• Phase diagram of $q$-deformed Yang-Mills theory on $S^2$ at non-zero $\theta$-angle
• A new large N phase transition in YM2
• One-dimensional dynamics of QCD2 string