Quantum Gravity, Field Theory and Signatures of Noncommutative Spacetime

TL;DR

This paper introduces field theories on noncommutative spacetimes, exploring their implications for quantum gravity, gauge theories, and potential experimental signatures, with detailed discussions on UV/IR mixing and deformed dispersion relations.

Contribution

It provides a pedagogical overview of noncommutative field theories and investigates their connections to gravity, renormalization, and experimental tests, highlighting new insights into quantum spacetime models.

Findings

UV/IR mixing explained and related to renormalization

Noncommutative gauge theories may model aspects of gravity

Potential experimental probes of spacetime noncommutativity discussed

Abstract

A pedagogical introduction to some of the main ideas and results of field theories on quantized spacetimes is presented, with emphasis on what such field theories may teach us about the problem of quantizing gravity. We examine to what extent noncommutative gauge theories may be regarded as gauge theories of gravity. UV/IR mixing is explained in detail and we describe its relations to renormalization, to gravitational dynamics, and to deformed dispersion relations in models of quantum spacetime of interest in string theory and in doubly special relativity. We also discuss some potential experimental probes of spacetime noncommutativity.