From noncommutative κ-Minkowski to Minkowski space–time
نویسندگان
چکیده
منابع مشابه
Gauge theories on the κ - Minkowski spacetime
This study of gauge field theories on κ-deformed Minkowski spacetime extends previous work on field theories on this example of a noncommutative spacetime. We construct deformed gauge theories for arbitrary compact Lie groups using the concept of enveloping algebra-valued gauge transformations and the SeibergWitten formalism. Derivative-valued gauge fields lead to field strength tensors as the ...
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We have proposed a generally covariant non-relativistic particle model that can represent the κ-Minkowski noncommutative spacetime. The idea is similar in spirit to the noncommutative particle coordinates in the lowest Landau level. Physically our model yields a novel type of dynamical system, (termed here as Exotic ”Oscillator”), that obeys a Harmonic Oscillator like equation of motion with a ...
متن کاملUncertainty of Velocity in κ-Minkowski Spacetime
A velocity of a point particle in the κ-Minkowski spacetime is investigated. Characteristic points of the spacetime are that the Poincare group becomes a quantum group with κ, which is a mass dimension parameter, and is a kind of noncommutative geometry. We consider a particle in a coordinate space instead of it in a momentum space which is discussed in many articles. We see that the particle’s...
متن کاملEffective Framework of κ-Minkowski Spacetime and Its Application
An effective Minkowski spacetime having no deformation in formal is established by introducing a well-defined proper time from the κ-deformed Minkowski spacetime related to the standard basis. The κ-Minkowski spacetime connects with a special curved spacetime through this effective spacetime. In the framework of such an effective Minkowski spacetime as a mapped coordinate system of the κ-deform...
متن کاملκ-Minkowski spacetime as the result of Jordanian twist deformation
Two one-parameter families of twists providing κ−Minkowski ∗−product deformed spacetime are considered: Abelian and Jordanian. We compare the derivation of quantum Minkowski space from two perspectives. First one is the Hopf module algebra point of view, which is strictly related with Drinfeld’s twisting tensor technique. An other one relies on an appropriate extension of deformed realizations ...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 2007
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2007.02.056