Proposal for the numerical solution of planar QCD

Abstract

Using quenched reduction, we propose a method for the numerical calculation of meson correlation functions in the planar limit of QCD. General features of the approach are outlined, and an example is given in the context of two-dimensional QCD.

31 pages, 10 figures, uses axodraw.sty, To appear in Physical Review D

References in corpus (4)

• Exact Chiral Symmetry on the Lattice
• Fermions on tori in uniform abelian fields
• A Study of the 't Hooft Model with the Overlap Dirac Operator
• Glueballs, strings and topology in SU(N) gauge theory

Cited by in corpus (36)

• On the discretization of physical momenta in lattice QCD
• Large N reduction in the continuum three dimensional Yang-Mills theory
• Does the crossover from perturbative to nonperturbative physics in QCD become a phase transition at infinite N ?
• A non-perturbative study of 4d U(1) non-commutative gauge theory -- the fate of one-loop instability
• Ginsparg-Wilson Relation, Topological Invariants and Finite Noncommutative Geometry
• Chiral symmetry breaking at large N_c
• Non-perturbative volume-reduction of large-N QCD with adjoint fermions
• Large N Volume Independence and an Emergent Fermionic Symmetry
• Ginsparg-Wilson Relation and 't Hooft-Polyakov Monopole on Fuzzy 2-Sphere
• Breakdown of large-N quenched reduction in SU(N) lattice gauge theories
• Flavor Twisted Boundary Conditions, Pion Momentum, and the Pion Electromagnetic Form Factor
• The quark mass dependence of the pion mass at infinite N
• Flavor Twisted Boundary Conditions and the Nucleon Axial Current
• Can fermions save large N dimensional reduction?
• Flavor Twisted Boundary Conditions and Isovector Form Factors
• Quarks with Twisted Boundary Conditions in the Epsilon Regime
• Phases of Gauge Theories
• Large Nc Continuum Reduction and the Thermodynamics of QCD
• Flavor Twisted Boundary Conditions and the Nucleon Vector Current
• Volume dependence of two-dimensional large-N QCD with a nonzero density of baryons
• The index of the overlap Dirac operator on a discretized 2d non-commutative torus
• Volume independence for Yang-Mills fields on the twisted torus
• Lattice Perturbation Theory in Noncommutative Geometry and Parity Anomaly in 3D Noncommutative QED
• On the relation between non-commutative field theories at theta = infinity and large N matrix field theories
• Large $N_c$ QCD at non-zero chemical potential
• Chiral anomalies in the reduced model
• Admissibility Condition and Nontrivial Indices on a Noncommutative Torus
• The Large N Reduction in Matrix Quantum Mechanics -- a Bridge between BFSS and IKKT --
• Large N QCD in two dimensions with a baryonic chemical potential
• Axial anomaly in the reduced model: Higher representations
• Lattice Superstring and Noncommutative Geometry
• Axial anomaly in the reduced model: Higher representations
• Volume independence of large-N QCD with adjoint fermions
• Large N lattice gauge theory
• Large N QCD -- Continuum reduction and chiral condensate
• Remarks on the discretization of physical momenta in lattice QCD