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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
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
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
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
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
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
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
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