Quantum kappa-deformed differential geometry and field theory

Details Quantum kappa-deformed differential geometry and field theory Quantum kappa-deformed differential geometry and field theory

2011-12-12

arxiv.org/abs/1112.2426v1

Mathematics

Quantum Algebra

23 pages, latex

Scientific paper

I introduce in kappa-Minkowski noncommutative spacetime the basic tools of quantum differential geometry, namely bicovariant differential calculus, Lie and inner derivatives, the integral, the Hodge-star and the metric. I show the relevance of these tools for field theory with an application to complex scalar field, for which I am able to identify a vector-valued four-form which generalizes the energy-momentum tensor. Its closedness is proved, expressing in a covariant form the conservation of energy-momentum.

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