Quantum Theory of Tensionless Noncommutative p-Branes

TL;DR

This paper develops a quantum theory for tensionless noncommutative p-branes using path integral methods, revealing how noncommutativity induces confinement among null p-branes and unifies thermodynamics with tensionless string theory.

Contribution

It introduces a simple, covariant path integral approach for noncommutative tensionless p-branes, encompassing thermodynamics and tensionless string theory as special cases.

Findings

Noncommutativity causes confinement among null p-branes.

The framework unifies thermodynamics with tensionless string theory.

A covariant path integral method simplifies analysis of noncommutative extended systems.

Abstract

The quantum theory involving noncommutative tensionless p-branes is studied following path integral methods. Our procedure allow a simple treatment for generally covariant noncommutative extended systems and it contains, as a particular case, the thermodynamics and the quantum tensionless string theory. The effect induced by noncommutativity in the field space is to produce a confinement among pairing of null p-branes.