Results 111 to 120 of about 117,966 (253)
New class of plane waves for κ -noncommutative quantum field theory
Physical Review D, 2023 Maria Grazia Di Luca, F. Mercati
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PBW Deformations of Smash Products Involving Hopf Algebra of Kac–Paljutkin Type
Journal of Mathematics, Volume 2025, Issue 1, 2025.Let H2n2 be the Kac–Paljutkin–type Hopf algebra of dimension 2n2, A its graded Koszul Artin–Schelter regular H2n2‐module algebra of Dimension 2, A! the Koszul dual of A, and Acop the braided‐opposite algebra of A. This paper describes (0, 1)‐degree PBW deformations of the smash product A♯H2n2 and those of A!♯H2n2 under the condition that the Koszul ...
Yujie Gao, Shilin Yang, Naihuan Jing
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Noncommutative Field Theory from twisted Fock space
, 2006 We construct a quantum field theory in noncommutative spacetime by twisting the algebra of quantum operators (especially, creation and annihilation operators) of the corresponding quantum field theory in commutative spacetime.
Chang Hyon Vac +9 more
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Harnessing quantum power: Revolutionizing materials design through advanced quantum computation
Materials Genome Engineering Advances, Volume 2, Issue 4, December 2024.The robust framework for advanced materials design via the quantum machine learning is summarized in this review, emphasizing the transformative potential of quantum technologies in revolutionizing materials innovation. Abstract The design of advanced materials for applications in areas of photovoltaics, energy storage, and structural engineering has ...
Zikang Guo +4 more
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, 2014 We present some ideas for a possible Noncommutative Topological Quantum Field Theory (NCTQFT) and Noncommutative Floer Homology (NCFH). Our motivation is two-fold and it comes both from physics and mathematics: On the one hand we argue that NCTQFT is the correct mathematical framework for a quantum field theory of all known interactions in nature ...
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Tubings, chord diagrams, and Dyson–Schwinger equations
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract We give series solutions to single insertion place propagator‐type systems of Dyson–Schwinger equations using binary tubings of rooted trees. These solutions are combinatorially transparent in the sense that each tubing has a straightforward contribution.
Paul‐Hermann Balduf +5 more
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Fortschritte der Physik, Volume 72, Issue 9-10, October 2024.Abstract In the present work, an extended description of the covariant noncommutative space is presented, which accommodates the Fuzzy Gravity model constructed previously. It is based on the historical lesson that the use of larger algebras containing all generators of the isometry of the continuous one helped in formulating a fuzzy covariant ...
Danai Roumelioti +2 more
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Quantum scalar field on fuzzy de Sitter space. Part I. Field modes and vacua
Journal of High Energy PhysicsWe study a scalar field on a noncommutative model of spacetime, the fuzzy de Sitter space, which is based on the algebra of the de Sitter group SO(1, d) and its unitary irreducible representations. We solve the Klein-Gordon equation in d = 2, 4 and show,
Bojana Brkić +3 more
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Finite group gauge theory on graphs and gravity-like modes
Nuclear Physics BWe study gauge theory with finite group G on a graph X using noncommutative differential geometry and Hopf algebra methods with G-valued holonomies replaced by gauge fields valued in a ‘finite group Lie algebra’ subset of the group algebra CG ...
Shahn Majid, Francisco Simão
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Towards Noncommutative Topological Quantum Field Theory: New invariants for 3-manifolds [PDF]
, 2017 Ioannis P. Zois
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