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Renormalizable noncommutative quantum field theory [PDF]
General Relativity and Gravitation, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grosse, Harald, Wulkenhaar, Raimar
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Quantum noncommutative ABJM theory: first steps
Journal of High Energy Physics, 2018 We introduce ABJM quantum field theory in the noncommutative spacetime by using the component formalism and show that it is N $$ \mathcal{N} $$ = 6 supersymmetric. For the U(1) κ × U(1)−κ case, we compute all one-loop 1PI two and three point functions in
Carmelo P. Martin +2 more
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Aspects of Nonrelativistic Strings
Frontiers in Physics, 2022 We review recent developments on nonrelativistic string theory. In flat spacetime, the theory is defined by a two-dimensional relativistic quantum field theory with nonrelativistic global symmetries acting on the worldsheet fields.
Gerben Oling, Gerben Oling, Ziqi Yan
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Wilson Loops and Area-Preserving Diffeomorphisms in Twisted Noncommutative Gauge Theory [PDF]
, 2007 We use twist deformation techniques to analyse the behaviour under area-preserving diffeomorphisms of quantum averages of Wilson loops in Yang-Mills theory on the noncommutative plane.
J. Wess +6 more
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Momentum-space entanglement in scalar field theory on fuzzy spheres
Journal of High Energy Physics, 2021 Quantum field theory defined on a noncommutative space is a useful toy model of quantum gravity and is known to have several intriguing properties, such as nonlocality and UV/IR mixing. They suggest novel types of correlation among the degrees of freedom
Shoichi Kawamoto, Tsunehide Kuroki
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Unification of κ-Minkowski and extended Snyder spaces
Physics Letters B, 2021 In a recent paper, we have studied associative realizations of the noncommutative extended Snyder model, obtained by including the Lorentz generators (tensorial coordinates) and their conjugated momenta.
S. Meljanac, S. Mignemi
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Noncommutative Gauge Fields on Poisson Manifolds [PDF]
, 1999 It is shown by Connes, Douglas and Schwarz that gauge theory on noncommutative torus describes compactifications of M-theory to tori with constant background three-form field.
Aref'eva, I. Ya., Volovich, I. V.
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Evidence for winding states in noncommutative quantum field theory [PDF]
, 2000 We study noncommutative field theories at finite temperature to learn more about the degrees of freedom in the non-planar sector of these systems. We find evidence for winding states.
W. Fischler +5 more
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Inequivalence of QFT's on Noncommutative Spacetimes: Moyal versus Wick-Voros [PDF]
, 2010 In this paper, we further develop the analysis started in an earlier paper on the inequivalence of certain quantum field theories on noncommutative spacetimes constructed using twisted fields. The issue is of physical importance.
A. Ibort +8 more
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Field Equations and Radial Solutions in a Noncommutative Spherically Symmetric Geometry
Advances in High Energy Physics, 2014 We study a noncommutative theory of gravity in the framework of torsional spacetime. This theory is based on a Lagrangian obtained by applying the technique of dimensional reduction of noncommutative gauge theory and that the yielded diffeomorphism ...
Aref Yazdani
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