KK-Masses in Dipole Deformed Field Theories

TL;DR

This paper explores non-commutative dipole deformations of field theories, revealing potential new phases, calculating quantum corrections to KK masses, and demonstrating non-renormalizability of dipole QED.

Contribution

It provides new insights into phase structures and quantum corrections in dipole-deformed theories, including the non-renormalizability of dipole QED.

Findings

Hints of stripe phases with spontaneous translation symmetry breaking

Quantum corrections to KK masses vary widely, including possible tachyonic states

Dipole deformation of QED is non-renormalizable

Abstract

We reconsider aspects of non-commutative dipole deformations of field theories. Among our findings there are hints to new phases with spontaneous breaking of translation invariance (stripe phases), similar to what happens in Moyal-deformed field theories. Furthermore, using zeta-function regularization, we calculate quantum corrections to KK-state masses. The corrections coming from non-planar diagrams show interesting but non-universal behaviour. Depending on the type of interaction the corrections can make the KK-states very heavy but also very light or even tachyonic. Finally we point out that the dipole deformation of QED is not renormalizable!