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arXiv · 1112.2426

Quantum kappa-deformed differential geometry and field theory

Flavio Mercati
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Abstract

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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Flavio Mercati. 2011-12-12. Quantum kappa-deformed differential geometry and field theory. https://doi.org/10.1142/s021827181650053x

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