Quantum kappa-deformed differential geometry and field theory
Quantum Algebra
2018-11-05 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
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.
Cite
@article{arxiv.1112.2426,
title = {Quantum kappa-deformed differential geometry and field theory},
author = {Flavio Mercati},
journal= {arXiv preprint arXiv:1112.2426},
year = {2018}
}
Comments
23 pages, latex