Mass-spin relation for quark anti-quark bound states in non-commutative Yang-Mills theory

TL;DR

This paper studies the mass-spin relationship of quark-antiquark bound states in non-commutative N=4 supersymmetric Yang-Mills theory using holographic duality, revealing that non-commutativity does not alter the energy-angular momentum relation.

Contribution

It demonstrates that the mass-spin relation remains unchanged despite the deformation of open string configurations caused by non-commutativity.

Findings

The energy-angular momentum relation is unaffected by non-commutativity.

Open string configurations are significantly deformed by non-commutativity.

Holographic interpretation of quark-antiquark potential is clarified.

Abstract

We investigate the relationship between mass and spin of quark anti-quark bound state in non-commutative gauge theory with N=4 supersymmetry. In the large N and large 't Hooft coupling limit, these bound states correspond to rotating open strings ending on a D-brane embedded into the supergravity background dual of the non-commutative field theory. Although the physical configuration of the open strings are drastically deformed by the non-commutativity, we find that the relation between the energy and the angular momentum of the bound state is unaffected by the non-commutativity parameter. We also clarify the holographic interpretation of quark anti-quark potential in non-commutative gauge theories.