Constant H field, cosmology and faster than light solitons

dc.creatorNastase, Horatiu
dc.date2006-01-24
dc.date2006-02-17
dc.date.accessioned2026-07-07T06:58:21Z
dc.date.available2026-07-07T06:58:21Z
dc.descriptionWe analyze the possibility of having a constant spatial NS-NS field, $H_{123}$. Cosmologically, it will act as stiff matter, and there will be very tight constraints on the possible value of $H_{123}$ today. However, it will give a noncommutative structure with an {\em associative} star product of the type $θ^{ij}=αε^{ijk} x^k$. This will be a fuzzy space with constant radius slices being fuzzy spheres. We find that gauge theory on such a space admits a noncommutative soliton with galilean dispersion relation, thus having speeds arbitrarily higher than c. This is the analogue of the Hashimoto-Itzhaki construction at constant $θ$, except that one has fluxless solutions of arbitrary mass. A holographic description supports this finding. We speculate thus that the presence of constant (yet very small) $H_{123}$, even though otherwise virtually undetectable could still imply the existence of faster than light solitons of arbitrary mass (although possibly quantum-mechanically unstable). The spontaneous Lorentz violation given by $H_{123}$ is exactly the same one already implied by the FRW metric ansatz.
dc.description30 pages, latex, references added
dc.identifierhttps://arxiv.org/abs/hep-th/0601182
dc.identifierhttp://arxiv.org/abs/hep-th/0601182
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107321
dc.subjectHigh Energy Physics - Theory
dc.titleConstant H field, cosmology and faster than light solitons
dc.typetext

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