Constant H field, cosmology and faster than light solitons
Jan, 2006Citations per year
Abstract:
We analyze the possibility of having a constant spatial NS-NS field, . Cosmologically, it will act as stiff matter, and there will be very tight constraints on the possible value of today. However, it will give a noncommutative structure with an {\em associative} star product of the type . 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 , 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) , 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 is exactly the same one already implied by the FRW metric ansatz.- gravitation: action
- field theory: scalar
- field theory: tensor
- tensor: energy-momentum
- cosmological model
- soliton
- differential geometry: noncommutative
- holography
- duality
- gauge field theory: Yang-Mills
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