Decoupling of Heavy Kaluza-Klein Modes In Models With Five-Dimensional Scalar Fields

Simple item page
dc.creatorAkhoury, Ratindranath
dc.creatorGauthier, Christopher S.
dc.date2007-06-28
dc.date2007-10-09
dc.date.accessioned2026-07-07T11:52:42Z
dc.date.available2026-07-07T11:52:42Z
dc.descriptionWe investigate the decoupling of heavy Kaluza-Klein modes in $ϕ^{4}$ theory and scalar QED with space-time topology $\mathbb{R}^{3,1} \times S^{1}$. We calculate the effective action due to integrating out heavy KK modes. We construct generalized RGE's for the couplings with respect to the compactification scale $M$. With the solutions to the RGE's we find the $M$-scale dependence of the effective theory due to higher dimensional quantum effects. We find that the heavy modes decouple in $ϕ^{4}$ theory, but do not decouple in scalar QED. This is due to the zero mode of the 5-th component $A_{5}$ of the 5-d gauge field. 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 light of these unpleasant features, we explore $S^{1}/\mathbb{Z}_{2}$ compactifications, which eliminate $A_{5}$, allowing for the heavy modes to decouple at low energies. We also explore the possibility of decoupling by including higher dimensional operators. It is found that this is possible, but a high degree of fine tuning is required.
dc.description9 pages, no figures; sign error on equations 20, 36, 37; Added additional references
dc.identifierhttps://arxiv.org/abs/0706.4285
dc.identifierhttp://arxiv.org/abs/0706.4285
dc.identifierJ.Phys.G36:015005,2009
dc.identifierdoi:10.1088/0954-3899/36/1/015005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204275
dc.subjectHigh Energy Physics - Theory
dc.titleDecoupling of Heavy Kaluza-Klein Modes In Models With Five-Dimensional Scalar Fields
dc.typetext

Files

Collections

arXiv