Noncommutative geometry, at its core, challenges the classical notion of a point by allowing coordinates to fail to commute. This alteration leads to a rich interplay between geometry and algebra, ...

Noncommutative Quantum Field Theory represents an ambitious extension of standard quantum field theory that incorporates a fundamental noncommutativity in the structure of spacetime. In these models, ...

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Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

Quantum field theory is notoriously complicated, built from mind-bendingly abstract mathematics. But are the underlying rules of reality really so far from human intuition? Or are physicists just ...

Even in an incomplete state, quantum field theory is the most successful physical theory ever discovered. Nathan Seiberg, one of its leading architects, talks about the gaps in QFT and how ...

This article is the first part of a series about quantum field theory published by Quanta Magazine. Other stories in the series can be found here. Over the past century, quantum field theory has ...

Quantum field theory marries the ideas of other quantum theories to depict all particles as “excitations” that arise in underlying fields. The British physicist Paul Dirac started the ball rolling in ...