Energy Landscape of d-Dimensional Q-balls

dc.creatorGleiser, Marcelo
dc.creatorThorarinson, Joel
dc.date2005-05-27
dc.date2006-02-15
dc.date.accessioned2026-07-07T08:26:30Z
dc.date.available2026-07-07T08:26:30Z
dc.descriptionWe investigate the properties of $Q$-balls in $d$ spatial dimensions. First, a generalized virial relation for these objects is obtained. We then focus on potentials $V(ϕϕ^{\dagger})= \sum_{n=1}^{3} a_n(ϕϕ^{\dagger})^n$, where $a_n$ is a constant and $n$ is an integer, obtaining variational estimates for their energies for arbitrary charge $Q$. These analytical estimates are contrasted with numerical results and their accuracy evaluated. Based on the results, we offer a simple criterion to classify ``large'' and ``small'' $d$-dimensional $Q$-balls for this class of potentials. A minimum charge is then computed and its dependence on spatial dimensionality is shown to scale as $Q_{\rm min} \sim \exp(d)$. We also briefly investigate the existence of $Q$-clouds in $d$ dimensions.
dc.description13 pages, 10 figures, final version to appear in Physical Review D. Small corrections
dc.identifierhttps://arxiv.org/abs/hep-th/0505251
dc.identifierhttp://arxiv.org/abs/hep-th/0505251
dc.identifierPhys. Rev. D 73, 065008 (2006)
dc.identifierdoi:10.1103/PhysRevD.73.065008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136959
dc.subjectHigh Energy Physics - Theory
dc.titleEnergy Landscape of d-Dimensional Q-balls
dc.typetext

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