Results 51 to 60 of about 115,374 (223)
Quantum Field Theory on the Noncommutative Plane with $E_q(2)$ Symmetry [PDF]
, 1999 We study properties of a scalar quantum field theory on the two-dimensional noncommutative plane with $E_q(2)$ quantum symmetry. We start from the consideration of a firstly quantized quantum particle on the noncommutative plane.
A. Demichev +12 more
core +2 more sources
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.
core +2 more sources
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
doaj +1 more source
Noncommutative quantum mechanics [PDF]
American Journal of Physics, 2004 We discuss the main features of noncommutative quantum mechanics, a version of nonrelativistic quantum mechanics that involves noncommuting coordinates. After finding a representation for the algebra obeyed by the coordinates and momenta, we analyze the changes due to the noncommutative nature of the coordinates.
openaire +3 more sources
Various topological phases and their abnormal effects of topological acoustic metamaterials
Interdisciplinary Materials, Volume 2, Issue 2, Page 179-230, March 2023., 2023 As an interdisciplinary example, topological acoustic metamaterials, combining topological concept, energy band structures, and acoustics with microstructured materials, exhibit various phases, including quantum Hall effect, topological insulator (TI), topological semimetal families, higher‐order, non‐Hermitian, and Floquet TIs, which show many ...
Yan‐Feng Chen +8 more
wiley +1 more source
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
core +1 more source
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
core +3 more sources
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
doaj +1 more source
On Quantum Statistical Mechanics: A Study Guide
Advances in Mathematical Physics, 2017 We provide an introduction to a study of applications of noncommutative calculus to quantum statistical physics. Centered on noncommutative calculus, we describe the physical concepts and mathematical structures appearing in the analysis of large quantum
Wladyslaw Adam Majewski
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Unification of gravity and quantum field theory from extended noncommutative geometry [PDF]
, 2017 We make biframe and quaternion extensions on the noncommutative geometry, and construct the biframe spacetime for the unification of gravity and quantum field theory (QFT).
Hefu Yu, B. Ma
semanticscholar +1 more source