Updating QCD${}_2$

Abstract

We review two-dimensional QCD. The report contains: 1. Introduction. 2. QCD${}_2$ as a field theory 2.1 The 1/N expansion and spectrum, 2.2 Ambiguity in the self-energy of the quark, 2.3 Polyakov--Wiegmann formula and gauge interactions, 2.4 Strong coupling analysis, 2.5 A Lagrangian realization of the coset construction, 2.6 Chiral interactions. 3. Pure QDC${}_2$ and string theory, 3.1 Introduction, 3.2 Wilson loop average and large-N limit, 3.3 String interpretation, 3.4 Collective coordinates approach, 3.5 Phase structure of QCD${}_2$, 4. Generalized QCD${}_2$ and adjoint-matter coupling, 4.1 Introduction and motivation, 4.2 Scalar and fermionic matter coupling; quantization 4.3 The Hagedorn transition; supersymmetry 4.4 Landau--Ginzburg description; spectrum and string theory 5. Algebraic aspects of QCD${}_2$ and integrability 5.1 $W_{\infty }$ algebras for colourless bilinears 5.2 Integrability and duality 5.3 Constraint structure of the theory 5.4 Spectrum and comparison with the 1/N expansion 5.5 Integrability conditions and Calogero-type models 5.6 QCD at high energies and two-dimensional field theory 6. Conclusions, 3 appendices.

121 pages, figures contained in a uuencoded separate file. Some references have been added, and figure file replaced

References in corpus (35)

• Duality, Quotients, and Currents
• High energy QCD as a completely integrable model
• Two Dimensional QCD is a String Theory
• Large $N$ Phase Transition in Continuum QCD${}_2$
• Two Dimensional QCD as a String Theory
• Twists and Wilson Loops in the String Theory of Two Dimensional QCD
• Infinite Symmetry in the Quantum Hall Effect
• On Non-Abelian Duality
• Hamiltonian systems of Calogero type and two dimensional Yang-Mills theory
• Axial Vector Duality as a Gauge Symmetry and Topology Change in String Theory
• Two Dimensional QCD coupled to Adjoint Matter and String Theory
• Exact Duality Symmetries in CFT and String Theory
• Induced QCD at Large N
• Equivalence of Two Dimensional QCD and the $c=1$ Matrix Model
• Interacting Fermion Systems from Two Dimensional QCD
• Bosonization and QCD in Two Dimensions
• One-Dimensional Fermions as Two-Dimensional Droplets Via Chern-Simons Theory
• Density Correlation Functions in Calogero Sutherland Models
• The String Theory Approach to Generalized 2D Yang-Mills Theory
• High Temperature Limit of the Confining Phase
• Classification of Quantum Hall Universality Classes by $W_{1+\infty }$ symmetry
• Quantum Hadrondynamics in Two Dimensions
• Nonabelian Bosonization as Duality
• Bosonization of Nonrelativistic Fermions and W-infinity Algebra
• Generalized Two-Dimensional QCD
• $W_{\infty }$ coherent states and path-integral derivation of bosonization of non-relativistic fermions in one dimension
• String Field Theory of Two Dimensional QCD: A Realization of W-infinity Algebra
• Two dimensional QCD is a one dimensional Kazakov-Migdal model
• $W_{\infty }$ Algebras in the Quantum Hall Effect
• A Bilocal Field Approach to the Large-N Expansion of Two-Dimensional (Gauge) Theories
• Large N Phase Transitions and Multi-Critical Behaviour in Generalized 2D QCD
• Integrability and duality in two-dimensional QCD
• Higher algebras and mesonic spectrum in two-dimensional QCD
• Off critical current algebras
• Generalized QCD${}_2$ via the Bilocal Method

Cited by in corpus (38)

• Quarkyonic Chiral Spirals
• Emergence of Skyrme crystal in Gross-Neveu and 't Hooft models at finite density
• Three-gluon vertex in arbitrary gauge and dimension
• Quark-gluon vertex in arbitrary gauge and dimension
• Remarks on nuclear matter: how an ${\omega }_0$ condensate can spike the speed of sound, and a model of $Z(3)$ baryons
• The effects of Gribov copies in 2D gauge theories
• Bose Symmetry and Chiral Decomposition of 2D Fermionic Determinants
• Mesonic Spectra of Bosonized QCD_2 Models
• Anomalous Soft Photons in Hadron Production
• Large-N limits of 2d CFTs, Quivers and AdS_3 duals
• The String Tension in Two Dimensional Gauge Theories
• The spectrum of multi-flavor QCD_2 and the non-Abelian Schwinger equation
• Non-Integrability of Two-Dimensional QCD
• Schwinger pair production and string breaking in non-Abelian gauge theory from real-time lattice improved Hamiltonians
• Loop Correlators and Theta States in 2D Yang-Mills Theory
• The Wigner Function of Produced Particles in String Fragmentation
• Observables of the generalized 2D Yang-Mills theories on arbitrary surfaces: a path integral approach
• Screening in Two-dimensional QCD
• Variational Mass Perturbation Theory for Light-Front Bound-State Equations
• Hadron potentials within the gauge/string correspondence
• On the mass spectrum of noncommutative Schwinger model in Euclidean ${\mathbb{R}}^2$ space
• Operator Product Expansion and Quark-Hadron Duality: Facts and Riddles
• The Compactification of QCD${}_4$ to QCD${}_2$ in a Flux Tube
• θ-angle monodromy in two dimensions
• 2d QCD and Integrability, Part I: 't Hooft model
• Decoupled path integral formulation of chiral QCD${}_2$ with $a_{JR}=2$
• BRST Cohomology and Hilbert Spaces of Non-Abelian Models in the Decoupled Path Integral Formulation
• $Q\bar{Q}$ potential in the Schwinger model on curved space - time
• Functional renormalization of QCD in $1+1$ dimensions: four-fermion interactions from quark-gluon dynamics
• Mesons in a quantum Ising ladder
• Phase structure of the quartic-cubic generalized two dimensional Yang Mills U(N) on the sphere
• Quark Confinement and the Fractional Quantum Hall Effect
• Effective mesonic theory for the 't Hooft model on the lattice
• Chirality distributions inside baryons in $\mathrm{QC}{\mathrm{D}}_2$
• Integrable models: from dynamical solutions to string theory
• Grassmann manifold Bosonization of QCD in Two Dimensions
• A general solution for the quark propagator in two-dimensional covariant gauge QCD
• Compensating fields, bosonization and soldering in QCD2