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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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
J. Zahn
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Towards an axiomatic formulation of noncommutative quantum field theory. II [PDF]
Nuclear Physics B, 2020 Classical results of the axiomatic quantum field theory – irreducibility of the set of field operators, Reeh and Schlieder's theorems and generalized Haag's theorem are proven in SO(1,1) invariant quantum field theory, of which an important example is ...
M. Chaichian +2 more
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, 2021 We discuss the obstruction to the construction of a multiparticle field theory on a κ-Minkowski noncommutative spacetime: the existence of multilocal functions which respect the deformed symmetries of the problem. This construction is only possible for a
Fedele Lizzi, Flavio Mercati
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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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𝒫𝒯-symmetric quantum field theory on the noncommutative spacetime [PDF]
Modern Physics Letters A, 2019 We consider the [Formula: see text]-symmetric quantum field theory on the noncommutative spacetime with angular twist and construct its pseudo-Hermitian interpretation.
Oleg O. Novikov
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Quantum field theory on the noncommutative plane with Eq(2) symmetry [PDF]
, 2000 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.
M. Chaichian +2 more
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Quantum noncommutative ABJM field theory: four- & six-point functions
Journal of High Energy PhysicsFollowing our previous paper “Quantum noncommutative ABJM theory: first steps” [JHEP 1804 (2018) 070)], in this article we investigate one-loop 1PI four- & six-point functions by using the component formalism in the Landau gauge and show that they are UV
Carmelo P. Martin +2 more
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High energy improved scalar quantum field theory from noncommutative geometry without UV/IR-mixing [PDF]
, 2010 We consider an interacting scalar quantum field theory on noncommutative Euclidean space. We implement a family of noncommutative deformations, which -- in contrast to the well known Moyal-Weyl deformation -- lead to a theory with modified kinetic term ...
Alexander Schenkel +1 more
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Toward an axiomatic formulation of noncommutative quantum field theory [PDF]
, 2004 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 ...
M. Chaichian +4 more
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