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arXiv · 2512.07913

Formal developments in curved momentum space: the quantum field theory roadmap

S. A. Franchino-Viñas
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Abstract

We advocate that the dual picture of spacetime noncommutativity , i.e. the existence of a curved momentum space, could be a way out to solve some of the open conceptual problems in the field, such as the basis dependence of observables. In this framework, we show how to build deformed Klein--Gordon and Dirac equations. In addition, we give an outlook of how one could define quantum field theories, both free and interacting ones.

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S. A. Franchino-Viñas. 2025-12-08. Formal developments in curved momentum space: the quantum field theory roadmap. https://doi.org/10.1088/1742-6596%2F2667%2F1%2F012069

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