Quantum Field Theories on a Noncommutative Euclidean Space: Overview of New Physics

TL;DR

This paper reviews recent advances in quantum field theories on noncommutative Euclidean spaces, highlighting new physics insights relevant to string theory, condensed matter, and particle phenomenology.

Contribution

It provides an overview of the latest developments in noncommutative quantum field theories and their implications for various physical systems.

Findings

New physics insights from noncommutative field theories

Applications to string theory and condensed matter systems

Potential relevance to particle phenomenology

Abstract

In this talk I briefly review recent developments in quantum field theories on a noncommutative Euclidean space, with Heisenberg-like commutation relations between coordinates. I will be concentrated on new physics learned from this simplest class of non-local field theories, which has applications to both string theory and condensed matter systems, and possibly to particle phenomenology.