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Publications Influence

Exact equation for the loop average in multicolor QCD

- Y. Makeenko, A. Migdal
- Physics
- 3 December 1979

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 is… Expand

303 13

Induced QCD at Large N

- V. Kazakov, A. Migdal
- Physics
- 3 June 1992

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

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 of… Expand

346 8- PDF

Multicolor QCD as a dual-resonance theory

- A. Migdal
- Physics
- 1 December 1977

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. The… Expand

63 7- PDF

Recent progress in the theory of noncritical strings

- V. Kazakov, A. Migdal
- Physics
- 19 December 1988

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 recent… Expand

129 4

Exact Solution of Induced Lattice Gauge Theory at Large $N$

- A. Migdal
- Physics
- 2 June 1992

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 integral… Expand

37 4- PDF

Loop Equation and Area Law in Turbulence

- A. Migdal
- Physics
- 30 March 1994

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 the… Expand

17 4

Critical properties of randomly triangulated planar random surfaces

- V. Kazakov, I. Kostov, A. Migdal
- Physics
- 18 July 1985

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 with… Expand

469 3- PDF