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Remarks on twisted noncommutative quantum field theory [PDF]
Physical Review D, 2006 We review recent results on twisted noncommutative quantum field theory by embedding it into a general framework for the quantization of systems with a twisted symmetry. We discuss commutation relations in this setting and show that the twisted structure
Jochen Zahn
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Noncommutative quantum mechanics from noncommutative quantum field theory. [PDF]
Physical Review Letters, 2001 We derive noncommutative multiparticle quantum mechanics from noncommutative quantum field theory in the nonrelativistic limit. Particles of opposite charges are found to have opposite noncommutativity.
P. Ho, H. Kao
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Evidence for winding states in noncommutative quantum field theory [PDF]
Journal of High Energy Physics, 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.
Willy Fischler +5 more
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Noncommutative quantum field theory [PDF]
Fortschritte der Physik, 2014 AbstractWe summarize our recent construction of the ϕ4‐model on four‐dimensional Moyal space. This is achieved by solving the quartic matrix model for a general external matrix in terms of the solution of a non‐linear equation for the 2‐point function and the eigenvalues of that matrix. The β‐function vanishes identically.
Harald Grosse, Raimar Wulkenhaar
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Haag's Theorem in Noncommutative Quantum Field Theory [PDF]
Ядерная физика, 2013 Haag’s theorem was extended to the general case of noncommutative quantum field theory when time does not commute with spatial variables. It was proven that if S matrix is equal to unity in one of two theories related by unitary transformation, then the ...
K. V. Antipin +2 more
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On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2010 The harmonic term in the scalar field theory on the Moyal space removes the UV-IR mixing, so that the theory is renormalizable to all orders. In this paper, we review the three principal interpretations of this harmonic term: the Langmann-Szabo duality ...
Axel de Goursac
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Toward an axiomatic formulation of noncommutative quantum field theory [PDF]
Journal of Mathematical Physics, 2011 We propose new Wightman functions as vacuum expectation values of products of field operators in the noncommutative space–time. These Wightman functions involve the ⋆-product among the fields, compatible with the twisted Poincare symmetry of the ...
Масуд Чайчиан +4 more
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Noncommutative 3-colour scalar quantum field theory model in 2D [PDF]
European Physical Journal C: Particles and Fields, 2018 We introduce the 3-colour noncommutative quantum field theory model in two dimensions. For this model we prove a generalised Ward–Takahashi identity, which is special to coloured noncommutative QFT models.
Alexander Hock, Raimar Wulkenhaar
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Quantum field theory on noncommutative spaces [PDF]
Physics Reports, 2003 111 pages LaTeX, 6 eps figures; Some material and discussions added for clarity, corrections done, references added; Final version to be published in Physics ...
Richard J. Szabo
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ON FINITE NONCOMMUTATIVITY IN QUANTUM FIELD THEORY [PDF]
International Journal of Modern Physics A, 2010 We consider various modifications of the Weyl–Moyal star-product, in order to obtain a finite range of nonlocality. The basic requirements are to preserve the commutation relations of the coordinates as well as the associativity of the new product.
Miklos Långvik, Ali Zahabi
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