Results 51 to 60 of about 117,966 (253)
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
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Noncommutative Cohomological Field Theory and GMS soliton [PDF]
, 2001 We show that it is possible to construct a quantum field theory that is invariant under the translation of the noncommutative parameter $\theta_{\mu\nu}$. This is realized in a noncommutative cohomological field theory.
Ishikawa, Tomomi +2 more
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Some Studies in Noncommutative Quantum Field Theories [PDF]
, 2008 Ph.D.
Sunandan Gangopadhyay
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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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Scalar and vector gauges unification in de Sitter ambient space formalism
Nuclear Physics B, 2022 We consider the massless minimally coupled scalar field in the de Sitter ambient space formalism as a gauge potential or connection field. We construct the scalar gauge theory by helping an arbitrary constant five-vector field Bα analogous to the ...
M.V. Takook
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Quantum Kaluza-Klein theory with M 2(ℂ)
Journal of High Energy Physics, 2023 Following steps analogous to classical Kaluza-Klein theory, we solve for the quantum Riemannian geometry on C ∞ (M) ⊗ M 2(ℂ) in terms of classical Riemannian geometry on a smooth manifold M , a finite quantum geometry on the algebra M 2(ℂ) of 2 × 2 ...
Chengcheng Liu, Shahn Majid
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Lorentz invariant and supersymmetric interpretation of noncommutative quantum field theory [PDF]
, 2004 In this paper, using a Hopf-algebraic method, we construct deformed Poincare SUSY algebra in terms of twisted (Hopf) algebra. By adapting this twist deformed super-Poincare algebra as our fundamental symmetry, we can see the consistency between the ...
Yoshishige Kobayashi, S. Sasaki
semanticscholar +1 more source
Advances in Difference Equations, 2020 Quantum calculus (the calculus without limit) appeared for the first time in fluid mechanics, noncommutative geometry and combinatorics studies. Recently, it has been included into the field of geometric function theory to extend differential operators ...
Rabha W. Ibrahim +2 more
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Holographic complexity and noncommutative gauge theory
Journal of High Energy Physics, 2018 We study the holographic complexity of noncommutative field theories. The four-dimensional N = 4 $$ \mathcal{N}=4 $$ noncommutative super Yang-Mills theory with Moyal algebra along two of the spatial directions has a well known holographic dual as a type
Josiah Couch +3 more
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Light cone in a quantum spacetime
Physics Letters B, 2018 Noncommutative spacetimes are a proposed effective description of the low-energy regime of Quantum Gravity. Defining the microcausality relations of a scalar quantum field theory on the κ-Minkowski noncommutative spacetime allows us to define for the ...
Flavio Mercati, Matteo Sergola
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