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Publications Influence

Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory - Nucl. Phys. B241, 333 (1984)

- A. Belavin, A. Polyakov, A. Zamolodchikov
- Physics
- 23 July 1984

We present an investigation of the massless, two-dimentional, interacting field theories. Their basic property is their invariance under an infinite-dimensional group of conformal (analytic)… Expand

3,652 193

Gauge Fields And Strings

- A. Polyakov
- Physics
- 1987

Statistical mechanics and quantum field theory asymptotic freedom and the renormalization group the strong coupling expansion instantons in Abelian systems Quark confinement, superfluidity,… Expand

1,628 127

Quantum Geometry of Bosonic Strings

- A. Polyakov
- Physics
- 23 July 1981

We develop a formalism for computing sums over random surfaces which arise in all problems containing gauge invariance (like QCD, three-dimensional Ising model etc.). These sums are reduced to the… Expand

2,286 107

Pseudoparticle Solutions of the Yang-Mills Equations

- A. Belavin, A. Polyakov, A. Schwartz, Y. Tyupkin
- Physics
- 13 October 1975

We find regular solutions of the four dimensional euclidean Yang-Mills equations. The solutions minimize locally the action integrals which is finite in this case. The topological nature of the… Expand

1,914 37

Nonhamiltonian approach to conformal quantum field theory

- A. Polyakov
- Mathematics
- 1974

A requirement of completeness of the operator set involved in the theory at small distances is formulated which replaces the unitarity condition of the S- matrix in the usual theory. Explicit… Expand

360 35

Quark confinement and topology of gauge theories

- A. Polyakov
- Physics
- 21 March 1977

Abstract The phenomenon of quark confinement is known to be connected with the restoration of apparently broken gauge symmetry. In this paper we focus on a special mechanism which is responsible for… Expand

1,056 31

Fractal Structure of 2D Quantum Gravity

- V. G. Knizhnik, A. Polyakov, A. Zamolodchikov
- Physics
- 15 November 1988

We resolve renormalization problems, indicated in Ref. 1 and find explicit formulae for the spectrum of anomalous dimensions in 2d—quantum gravity. Comparison with combinatorial approximation of… Expand

915 31

Quantum Gravity in Two Dimensions

- A. Polyakov
- Physics
- 1 November 1987

Two dimensional induced quantum gravity is analyzed. By the use of light-cone gauge we derive a gravitational analogue of the Wess-Zumino action and discover its amazing connection with SL (2, ℝ)… Expand

539 20

Compact gauge fields and the infrared catastrophe

- A. Polyakov
- Physics
- 13 October 1975

It is shown that infrared phenomena in the gauge theories are guided by certain classical solutions of the Yang-Mills equations. The existence of such solutions can lead to a finite correlation… Expand

592 19