Journal ArticleDOI
Scale and Conformal Invariance in Quantum Field Theory
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In this paper, the relation between invariance under rigid and local changes of length scale was studied in two dimensions and three dimensions, and it was shown that the rigid invariance implies the local under broad conditions.About:
This article is published in Nuclear Physics.The article was published on 1988-06-27. It has received 435 citations till now. The article focuses on the topics: Conformal field theory & Scale invariance.read more
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Large N Field Theories, String Theory and Gravity
TL;DR: In this paper, the holographic correspondence between field theories and string/M theory is discussed, focusing on the relation between compactifications of string theory on anti-de Sitter spaces and conformal field theories.
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Topological quantum field theory
TL;DR: A twisted version of four dimensional supersymmetric gauge theory is formulated in this paper, which refines a nonrelativistic treatment by Atiyah and appears to underlie many recent developments in topology of low dimensional manifolds; the Donaldson polynomial invariants of four manifolds and the Floer groups of three manifolds appear naturally.
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Galileon as a local modification of gravity
TL;DR: In this article, the authors study the connection between self-acceleration and the presence of ghosts for a quite generic class of theories that modify gravity in the infrared, defined as those that at distances shorter than cosmological, reduce to a certain generalization of the Dvali-Gabadadze-Porrati (DGP) effective theory.
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Solving the 3D Ising Model with the Conformal Bootstrap
Sheer El-Showk,Miguel F. Paulos,David Poland,Slava Rychkov,David Simmons-Duffin,Alessandro Vichi +5 more
TL;DR: In this article, the constraints of crossing symmetry and unitarity in general 3D conformal field theories were studied, and it was shown that the 3D Ising model lies at a corner point on the boundary of the allowed parameter space.
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The Geometry of String Perturbation Theory
Eric D'Hoker,Duong H. Phong +1 more
TL;DR: In this paper, recent progress made towards the understanding of closed bosonic and fermionic string perturbation theory, formulated in a Lorentz-covariant way on Euclidean space-time, is devoted to recent progress.
References
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Book
Quantum Fields in Curved Space
N. D. Birrell,Paul Davies +1 more
TL;DR: A comprehensive review of the subject of gravitational effects in quantum field theory can be found in this paper, where special emphasis is given to the Hawking black hole evaporation effect, and to particle creation processes in the early universe.
Quantum Fields in Curved Space
N. D. Birrell,Paul Davies +1 more
TL;DR: A comprehensive review of the subject of gravitational effects in quantum field theory can be found in this paper, where special emphasis is given to the Hawking black hole evaporation effect, and to particle creation processes in the early universe.
Journal ArticleDOI
Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
N. D. Mermin,Herbert Wagner +1 more
TL;DR: In this paper, it is rigorously proved that at any nonzero temperature, a one- or two-dimensional isotropic spin-S$ Heisenberg model with finite-range exchange interaction can be neither ferromagnetic nor antiferromagnetic.
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Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory
TL;DR: In this paper, the authors present an investigation of the massless, two-dimentional, interacting field theories and their invariance under an infinite-dimensional group of conformal transformations.
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There are no Goldstone bosons in two-dimensions
TL;DR: In this article, it was shown that in two dimensions the Goldstone phenomenon can not occur; Goldstone's theorem does not end with two alternatives (either manifest symmetry or Goldstone bosons) but with only one (manifest symmetry).