On a Lorentz-invariant interpretation of noncommutative space-time and its implications on noncommutative QFT

By M. Chaichian, P. Kulish, K. Nishijima, A. Tureanu. 2004

553 citations recorded by the source corpus.

Abstract By invoking the concept of twisted Poincare symmetry of the algebra of functions on a Minkowski space–time, we demonstrate that the noncommutative space–time with the commutation relations [ x μ , x ν ] = i θ μ ν , where θ μ ν is a constant real antisymmetric matrix, can be interpreted in a Lorentz-invariant way. The implications of the twisted Poincare symmetry on QFT on such a space–time is briefly discussed. The presence of the twisted symmetry gives justification to all the previous treatments within NC QFT using Lorentz invariant quantities and the representations of the usual Poincare symmetry.

Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7f1b7270d63b3a66068cf1f1fc86785672de9c76

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In Mathematical Physics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Yang-Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory (2015, background): “Since the symmetries of AdS5 correspond to spacetime symmetries of N = 4 SYM, these deformations lie in the realm of noncommutative field theory,5 in the twist formalism [34, 35], see also e.”
New realizations of Lie algebra kappa-deformed Euclidean space (2006, methodology): “twisted Poincar´e coalgebra were also considered in [ 27-29].”
Quantum-Spacetime Phenomenology (2008, background): “12 In the case of canonical noncommutativity, evidence of some departures from Poincaré symmetry are found both if θμν is a fixed tensor [213, 516] and if it is a fixed observer-independent matrix [161, 236, 100].”