Results 31 to 40 of about 115,374 (223)
LORENTZ INVARIANT AND SUPERSYMMETRIC INTERPRETATION OF NONCOMMUTATIVE QUANTUM FIELD THEORY [PDF]
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, Shin Sasaki
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Quantum Field Theory on Curved Noncommutative Spacetimes [PDF]
We summarize our recently proposed approach to quantum field theory on noncommutative curved spacetimes. We make use of the Drinfel'd twist deformed differential geometry of Julius Wess and his group in order to define an action functional for a real scalar field on a twist-deformed time-oriented, connected and globally hyperbolic Lorentzian manifold ...
Alexander Schenkel
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Noncommutative field theory description of quantum Hall Skyrmions [PDF]
23 pages, Revtex, more references added ...
Bum-Hoon Lee, Kyungsun Moon, Chaiho Rim
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Noncommutative field theory from quantum mechanical space–space noncommutativity [PDF]
13 ...
M. Rosenbaum+2 more
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On the operator product expansion in noncommutative quantum field theory [PDF]
Motivated by the mixing of UV and IR effects, we test the OPE formula in non-commutative field theory. First we look at the renormalization of local composite operators, identifying some of their characteristic IR/UV singularities.
Frederic Zamora
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Twists of quantum groups and noncommutative field theory
The role of quantum universal enveloping algebras of symmetries in constructing a noncommutative geometry of space-time and corresponding field theory is discussed. It is shown that in the framework of the twist theory of quantum groups, the noncommutative (super) space-time defined by coordinates with Heisenberg commutation relations, is (super ...
P. P. Kulish
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UV/IR duality in noncommutative quantum field theory [PDF]
We review the construction of renormalizable noncommutative Euclidean ϕ4-theories based on the UV/IR duality covariant modification of the standard field theory, and how the formalism can be extended to scalar field theories defined on noncommutative ...
André Fischer, R. Szabo
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Matrix Quantum Mechanics and Soliton Regularization of Noncommutative Field Theory [PDF]
We construct an approximation to field theories on the noncommutative torus based on soliton projections and partial isometries which together form a matrix algebra of functions on the sum of two circles.
Giovanni Landi+2 more
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Twisted Poincaré Symmetry and Some Implications on Noncommutative Quantum Field Theory [PDF]
The concept of twisted Poincar\'e symmetry, as well as some implications, are reviewed. The spin-statistics relation and the nonlocality of NC QFT are discussed in the light of this quantum symmetry.
Anca Tureanu
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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 ...
Ioannis P. Zois
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