A Kaluza-Klein Model with Spontaneous Symmetry Breaking: Light-Particle Effective Action and its Compactification Scale Dependence
| dc.creator | Akhoury, Ratindranath | |
| dc.creator | Gauthier, Christopher S. | |
| dc.date | 2007-10-09 | |
| dc.date.accessioned | 2026-07-07T11:53:27Z | |
| dc.date.available | 2026-07-07T11:53:27Z | |
| dc.description | We investigate decoupling of heavy Kaluza-Klein modes in an Abelian Higgs model with space-time topologies $\mathbb{R}^{3,1} \times S^{1}$ and $\mathbb{R}^{3,1} \times S^{1}/\mathbb{Z}_{2}$. After integrating out heavy KK modes we find the effective action for the zero mode fields. We find that in the $\mathbb{R}^{3,1} \times S^{1}$ topology the heavy modes do not decouple in the effective action, due to the zero mode of the 5-th component of the 5-d gauge field $A_{5}$. Because $A_{5}$ is a scalar under 4-d Lorentz transformations, there is no gauge symmetry protecting it from getting mass and $A_{5}^{4}$ interaction terms after loop corrections. In addition, after symmetry breaking, we find new divergences in the $A_{5}$ mass that did not appear in the symmetric phase. The new divergences are traced back to the gauge-goldstone mixing that occurs after symmetry breaking. The relevance of these new divergences to Symanzik's theorem is discussed. In order to get a more sensible theory we investigate the $S^{1}/\mathbb{Z}_{2}$ compactification. With this kind of compact topology, the $A_{5}$ zero mode disappears. With no $A_{5}$, there are no new divergences and the heavy modes decouple. We also discuss the dependence of the couplings and masses on the compactification scale. We derive a set of RG-like equations for the running of the effective couplings with respect to the compactification scale. It is found that magnitudes of both couplings decrease as the scale $M$ increases. The effective masses are also shown to decrease with increasing compactification scale. All of this opens up the possibility of placing constraints on the size of extra dimensions. | |
| dc.description | 35 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/0710.1672 | |
| dc.identifier | http://arxiv.org/abs/0710.1672 | |
| dc.identifier | Phys.Rev.D78:105002,2008 | |
| dc.identifier | doi:10.1103/PhysRevD.78.105002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/204543 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | A Kaluza-Klein Model with Spontaneous Symmetry Breaking: Light-Particle Effective Action and its Compactification Scale Dependence | |
| dc.type | text |