Author
L. D. Faddeev
Other affiliations: University of Helsinki, Saint Petersburg State University, Russian Academy of Sciences ...read more
Bio: L. D. Faddeev is an academic researcher from Steklov Mathematical Institute. The author has contributed to research in topics: Quantization (physics) & Yang–Mills theory. The author has an hindex of 59, co-authored 189 publications receiving 21528 citations. Previous affiliations of L. D. Faddeev include University of Helsinki & Saint Petersburg State University.
Papers published on a yearly basis
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Book•
01 Jan 1987
TL;DR: The Nonlinear Schrodinger Equation (NS Model) and Zero Curvature Representation (ZCR) as discussed by the authors have been used for the classification and analysis of Integrable Evolution Equations.
Abstract: The Nonlinear Schrodinger Equation (NS Model)- Zero Curvature Representation- The Riemann Problem- The Hamiltonian Formulation- General Theory of Integrable Evolution Equations- Basic Examples and Their General Properties- Fundamental Continuous Models- Fundamental Models on the Lattice- Lie-Algebraic Approach to the Classification and Analysis of Integrable Models- Conclusion- Conclusion
2,539 citations
TL;DR: In this paper, a simple method for calculation of the contribution from arbitrary diagrams with closed loops was proposed, based on the method of Feynman functional integration, which is used in this paper.
1,646 citations
24 Sep 1987
TL;DR: The quantum inverse scattering method for solving nonlinear equations of evolution, the quantum theory of magnets, the method of commuting transfer-matrices in classical statistical mechanics, and factorizable scattering theory as discussed by the authors emerged as a natural development of the various directions in mathematical physics.
Abstract: Publisher Summary
This chapter focuses on the quantization of lie groups and lie algebras. The Algebraic Bethe Ansatz—the quantum inverse scattering method—emerges as a natural development of the various directions in mathematical physics: the inverse scattering method for solving nonlinear equations of evolution, the quantum theory of magnets, the method of commuting transfer-matrices in classical statistical mechanics, and factorizable scattering theory. The chapter discusses quantum formal groups, a finite-dimensional example, an infinite-dimensional example, and reviews the deformation theory and quantum groups.
1,584 citations
1,005 citations
Book•
01 Jan 1980
TL;DR: In this article, the fundamental foundations of classical Gauge field theory and quantum theory in terms of path integrals are discussed. And the Yang-Mills Field theory is formally formalized.
Abstract: * Introduction: Fundamentals of Classical Gauge Field Theory * Quantum Theory in Terms of Path Integrals * Quantization of the Yang-Mills Field * Renormalization of Gauge Theories * Some Application and Conclusion
841 citations
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TL;DR: In this article, it was shown that the global charges of a gauge theory may yield a nontrivial central extension of the asymptotic symmetry algebra already at the classical level.
Abstract: It is shown that the global charges of a gauge theory may yield a nontrivial central extension of the asymptotic symmetry algebra already at the classical level. This is done by studying three dimensional gravity with a negative cosmological constant. The asymptotic symmetry group in that case is eitherR×SO(2) or the pseudo-conformal group in two dimensions, depending on the boundary conditions adopted at spatial infinity. In the latter situation, a nontrivial central charge appears in the algebra of the canonical generators, which turns out to be just the Virasoro central charge.
3,072 citations
TL;DR: By disentangling the hamiltonian constraint equations, 2 + 1 dimensional gravity (with or without a cosmological constant) is shown to be exactly soluble at the classical and quantum levels.
2,636 citations
01 Jan 1988
TL;DR: A monograph on inflationary cosmology and cosmological phase transitions is presented in this article, which investigates modern cosmology's relationship to elementary particle physics and includes a non-technical discussion of the theory for those unfamiliar with the theory.
Abstract: A monograph on inflationary cosmology and cosmological phase transitions, investigating modern cosmology's relationship to elementary particle physics. This work also includes a non-technical discussion of inflationary cosmology for those unfamiliar with the theory.
2,200 citations
Book•
01 Jan 1990
TL;DR: A monograph on inflationary cosmology and cosmological phase transitions is presented in this paper, which investigates modern cosmology's relationship to elementary particle physics and includes a non-technical discussion of the theory for those unfamiliar with the theory.
Abstract: A monograph on inflationary cosmology and cosmological phase transitions, investigating modern cosmology's relationship to elementary particle physics. This work also includes a non-technical discussion of inflationary cosmology for those unfamiliar with the theory.
2,110 citations
TL;DR: The general properties of the factorized S-matrix in two-dimensional space-time are considered in this article, where the relation between the factorization property of the scattering theory and the infinite number of conservation laws of the underlying field theory is discussed.
1,985 citations