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General formulation of general-relativistic higher-order gauge-invariant perturbation theory
General formulation perturbation theory
2010/12/27
Gauge-invariant treatments of general-relativistic higher-order perturbations on generic background spacetime is proposed. After reviewing the general framework of the second-order gauge-invariant pe...
Next-to-leading resummations in cosmological perturbation theory
Next-to-leading resummations cosmological perturbation theory
2010/12/27
One of the nicest results in cosmological perturbation theory is the analytical resummaton of the leading corrections at large momentum, which was obtained by Crocce and Scoccimarro for the propagato...
Perturbation Theory on the Non-Commutative Plane with a Singular Potential
Perturbation Theory the Non-Commutative Plane
2010/12/27
In this article we study the problem of a non-relativistic particle in the presence of a singular potential in the noncommutative plane. The potential contains a term proportional to $1/R^2$, where $...