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E.S. Fradkin

Bio: E.S. Fradkin is an academic researcher from Lebedev Physical Institute. The author has contributed to research in topics: Gauge theory & Quantization (physics). The author has an hindex of 45, co-authored 134 publications receiving 10663 citations. Previous affiliations of E.S. Fradkin include International Centre for Theoretical Physics & Harvard University.


Papers
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Journal ArticleDOI
TL;DR: In this paper, the effective action for an abelian vector field coupled to the virtual open Bose string was computed in the tree and one-loop approximation for the string theory.

1,179 citations

Journal ArticleDOI
TL;DR: In this article, the general dynamical system with constraints is quantized, and the S-matrix is constructed in the most general class of gauges including relativistic ones, and a new type of additional diagrams arises securing unitarity of the theory: the fourfermion interaction of ghost fields.

846 citations

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TL;DR: In this article, a covariant background field method for quantum string dynamics is presented, which is based on the effective action Γ for fields corresponding to different string modes, and a formalism is developed for the calculation of Γ in the α ′ → 0 limit.

685 citations

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TL;DR: The problem of deriving the gravitational part of Γ is reduced to that of establishing the effective action for a generalized σ-model on a curved two-dimensional background and subsequent integration over two-metrics.

657 citations

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TL;DR: In this paper, it was shown that higher derivative quantum gravity is asymptotically free in all essential coupling constants by the calculation of one-loop counterterms and the solution of the corresponding renormalization group (RG) equations.

622 citations


Cited by
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Journal ArticleDOI
TL;DR: In this paper, a boundary of the anti-deSitter space analogous to a cut-off on the Liouville coordinate of the two-dimensional string theory is introduced to obtain certain Green's functions in 3+1-dimensional N = 4 supersymmetric Yang-Mills theory with a large number of colors via non-critical string theory.

11,887 citations

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TL;DR: In this article, a non-zero B-field is introduced for string theory and the entire string dynamics is described by a minimally coupled (supersymmetric) gauge theory on a noncommutative space, and the corrections away from this limit are discussed.
Abstract: We extend earlier ideas about the appearance of noncommutative geometry in string theory with a nonzero B-field. We identify a limit in which the entire string dynamics is described by a minimally coupled (supersymmetric) gauge theory on a noncommutative space, and discuss the corrections away from this limit. Our analysis leads us to an equivalence between ordinary gauge fields and noncommutative gauge fields, which is realized by a change of variables that can be described explicitly. This change of variables is checked by comparing the ordinary Dirac-Born-Infeld theory with its noncommutative counterpart. We obtain a new perspective on noncommutative gauge theory on a torus, its T-duality, and Morita equivalence. We also discuss the D0/D4 system, the relation to M-theory in DLCQ, and a possible noncommutative version of the six-dimensional (2,0) theory.

5,121 citations

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TL;DR: A comprehensive survey of recent work on modified theories of gravity and their cosmological consequences can be found in this article, where the authors provide a reference tool for researchers and students in cosmology and gravitational physics, as well as a selfcontained, comprehensive and up-to-date introduction to the subject as a whole.

3,674 citations

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TL;DR: In this article, a quantum field theory of gravity with dynamical critical exponent equal to $z = 3$ in the UV is presented. But this theory is restricted to satisfy the condition of detailed balance.
Abstract: We present a candidate quantum field theory of gravity with dynamical critical exponent equal to $z=3$ in the UV. (As in condensed-matter systems, $z$ measures the degree of anisotropy between space and time.) This theory, which at short distances describes interacting nonrelativistic gravitons, is power-counting renormalizable in $3+1$ dimensions. When restricted to satisfy the condition of detailed balance, this theory is intimately related to topologically massive gravity in three dimensions, and the geometry of the Cotton tensor. At long distances, this theory flows naturally to the relativistic value $z=1$, and could therefore serve as a possible candidate for a UV completion of Einstein's general relativity or an infrared modification thereof. The effective speed of light, the Newton constant and the cosmological constant all emerge from relevant deformations of the deeply nonrelativistic $z=3$ theory at short distances.

2,816 citations

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TL;DR: The generalization of field theory to space-time with noncommuting coordinates has been studied intensively in the last few years and many qualitatively new phenomena have been discovered, on both the classical and quantum level as discussed by the authors.
Abstract: This article reviews the generalization of field theory to space-time with noncommuting coordinates, starting with the basics and covering most of the active directions of research. Such theories are now known to emerge from limits of M theory and string theory and to describe quantum Hall states. In the last few years they have been studied intensively, and many qualitatively new phenomena have been discovered, on both the classical and the quantum level.

2,306 citations