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Journals and Conferences
We have calculated the energy levels of the hydrogen atom as well as the Lamb shift within the noncommutative quantum electrodynamics theory. The results show deviations from the usual QED both on the classical and the quantum levels. On both levels, the deviations depend on the parameter of space/space noncommutativity.
The twist-deformation of the Poincaré algebra as symmetry of the field theories on noncommutative space-time with Heisenberg-like commutation relation is discussed in connection to the relation between a sound approach to the twist and the quantization in noncommutative field theory. The recent claims of violation of Pauli's spin-statistics relation and the… (More)
A noncommutative version of the usual electro-weak theory is constructed. We discuss how to overcome the two major problems: 1) although we can have noncom-mutative U (n) (which we denote by U ⋆ (n)) gauge theory we cannot have noncommu-tative SU (n) and 2) the charges in noncommutative QED are quantized to just 0, ±1. We show how the latter problem with… (More)
Based on the analysis of the most natural and general ansatz, we conclude that the concept of twist symmetry, originally obtained for the noncommutative space-time, cannot be extended to include internal gauge symmetry. The case is reminiscent of the Coleman-Mandula theorem. Invoking the supersymmetry may reverse the situation.
By applying properly the concept of twist symmetry to the gauge invariant theories, we arrive at the conclusion that previously proposed in the literature noncommutative gauge theories, with the use of ⋆-product, are the correct ones, which possess the twisted Poincaré symmetry. At the same time, a recent approach to twisted gauge transformations is in… (More)
A deformed Schwarzschild solution in noncommutative gauge theory of gravitation is obtained. The gauge potentials (tetrad fields) are determined up to the second order in the noncommutativity parameters Θ µν. A deformed real metric is defined and its components are obtained. The noncommutativity correction to the red shift test of General Relativity is… (More)
We present a systematic framework for noncommutative (NC) quantum field theory (QFT) within the new concept of relativistic invariance based on the notion of twisted Poincare symmetry, as proposed by Chaichian et al. [Phys. Lett. B 604, 98 (2004)]. This allows us to formulate and investigate all fundamental issues of relativistic QFT and offers a firm frame… (More)
In the framework of quantum field theory (QFT) on noncommutative (NC) space-time with SO(1, 1) × SO(2) symmetry, which is the feature arising when one has only space-space noncommutativity (θ 0i = 0), we prove that the Jost-Lehmann-Dyson representation , based on the causality condition usually taken in connection with this symmetry, leads to the mere… (More)
Within the context of the twisted Poincaré algebra, there exists no noncom-mutative analogue of the Minkowski space interpreted as the homogeneous space of the Poincaré group quotiented by the Lorentz group. The usual definition of commutative classical fields as sections of associated vector bundles on the homogeneous space does not generalise to the… (More)