Quantum field theory on noncommutative spaces
TLDR
In this article, a pedagogical and self-contained introduction to noncommutative quantum field theory is presented, with emphasis on those properties that are intimately tied to string theory and gravity.About:
This article is published in Physics Reports.The article was published on 2003-05-01 and is currently open access. It has received 1752 citations till now. The article focuses on the topics: Noncommutative quantum field theory & Noncommutative geometry.read more
Citations
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Ministry of Education and Science of the Russian Federation
TL;DR: The abstract should follow the structure of the article (relevance, degree of exploration of the problem, the goal, the main results, conclusion) and characterize the theoretical and practical significance of the study results.
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On a Lorentz-invariant interpretation of noncommutative space-time and its implications on noncommutative QFT
TL;DR: By invoking the twisted Poincare symmetry of the algebra of functions on a Minkowski space-time, this paper showed that the non-commutative space time with the commutation relations [ x μ, x ν ] = i θ μ ν, where θμ ν is a constant real antisymmetric matrix, can be interpreted in a Lorentz-invariant way.
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Quantum-Spacetime Phenomenology
TL;DR: This work reviews the current status of phenomenological programs inspired by quantum-spacetime research and stresses the significance of results establishing that certain data analyses provide sensitivity to effects introduced genuinely at the Planck scale.
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Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
V. A. Miransky,Igor A. Shovkovy +1 more
TL;DR: In this article, a range of quantum field theoretical phenomena driven by external magnetic fields and their applications in relativistic systems and quasirelativistic condensed matter ones, such as graphene and Dirac/Weyl semimetals, are reviewed.
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Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review
Piero Nicolini,Piero Nicolini +1 more
TL;DR: In this paper, the authors present a review of models proposed in the literature for describing deformations of General Relativity in the presence of noncommutativity, seen as an effective theory of Quantum Gravity.
References
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Book
Quantum mechanics: Non-relativistic theory,
TL;DR: The basic concepts of quantum mechanics Energy and momentum Schrodinger's equation Angular momentum Perturbation theory Spin The identity of particles The atom The theory of symmetry Polyatomic molecules Motion in a magnetic field Nuclear structure Elastic collisions Mathematical appendices.
Book ChapterDOI
On the quantum correction for thermodynamic equilibrium
TL;DR: In this article, the Boltzmann formula for lower temperatures has been developed for a correction term, which can be developed into a power series of h. The formula is developed for this correction by means of a probability function and the result discussed.
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String theory and noncommutative geometry
Nathan Seiberg,Edward Witten +1 more
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.
Book
Infinite Dimensional Lie Algebras
TL;DR: The invariant bilinear form and the generalized casimir operator are integral representations of Kac-Moody algebras and the weyl group as mentioned in this paper, as well as a classification of generalized cartan matrices.
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A planar diagram theory for strong interactions
TL;DR: In this article, it was shown that only planar diagrams with the quarks at the edges dominate; the topological structure of the perturbation series in 1/N is identical to that of the dual models, such that the number 1/n corresponds to the dual coupling constant.