• Publications
  • Influence
Recursion Equations in Gauge Theories
  • 199
  • 13
Exact equation for the loop average in multicolor QCD
A closed equation for the loop average is obtained in QCD with an infinite number of colors. It is shown, how this equation generates the planar graphs. The lattice regularization of this equation isExpand
  • 303
  • 13
Induced QCD at Large N
We propose and study at large N a new lattice gauge model , in which the Yang-Mills interaction is induced by the heavy scalar field in adjoint representation. At any dimension of space and any $ N $Expand
  • 48
  • 10
  • PDF
Loop equations and 1N expansion
  • 298
  • 10
A Nonperturbative Treatment of Two-dimensional Quantum Gravity
We propose a nonperturbative definition of two-dimensional quantum gravity, based on a double scaling limit of the random matrix model. We develop an operator formalism for utilizing the method ofExpand
  • 346
  • 8
  • PDF
Multicolor QCD as a dual-resonance theory
Abstract The quantum chromodynamics with massless quarks and an infinite number of colors is represented as a theory of the noninteracting mesons which lie on rising Regge trajectories. TheExpand
  • 63
  • 7
  • PDF
Recent progress in the theory of noncritical strings
Abstract We compare the results of analytical and numerical studies of lattice 2D quantum gravity, where the internal quantum metric is described by random (dynamical) triangulation, with the recentExpand
  • 129
  • 4
Exact Solution of Induced Lattice Gauge Theory at Large $N$
We find the exact solution of a recently proposed model of the lattice gauge theory induced by heavy scalar field in adjoint representation at N=∞ for arbitrary dimension D. The nonlinear integralExpand
  • 37
  • 4
  • PDF
Loop Equation and Area Law in Turbulence
The incompressible fluid dynamics is reformulated as dynamics of closed loops C in coordinate space. We derive explicit functional equation for the pdf of the circulation P c (Γ) which allows theExpand
  • 17
  • 4
Critical properties of randomly triangulated planar random surfaces
A discrete version of the Polyakov string is studied by analytical and numerical methods. The role of the intrinsic metric is played by random triangulation. The results only qualitatively agree withExpand
  • 469
  • 3
  • PDF