Work

T-Minkowski Noncommutative Spacetimes II: Classical Field Theory

Year: 2024

Type: article

Abstract: This paper is the second part of a series that develops the mathematical framework necessary for studying field theories on “T-Minkowski” noncommutative spacetimes. These spacetimes constitute a class of noncommutative geometries, introduced in Part I, that are each invariant under distinct quantum-group deformations of the Poincaré group. All these noncommutative geometries possess certain physically desirable characteristics, which allow me to develop all the tools of differential geometry and functional analysis that are necessary in order to build consistent and T-Poincaré-invariant noncommutative classical field theories.

Source: Progress of Theoretical and Experimental Physics

DOI: 10.1093/ptep/ptae175

Author: Flavio Mercati

Institution: Universidad de Burgos

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $979

Funders: Ministerio de Ciencia e Innovación, Junta de Castilla y León, Agencia Estatal de Investigación