Some recent ideas are generalized from four dimensions to the general dimension n. Two terms of the trace anomaly in external gravity, the Euler density Gn and 2 R, are relevant to the problem of quantum irreversibility. By adding the divergence of a gauge-invariant current, Gn can be extended to a new notion of Euler density G̃n, linear in the conformal factor. We call it pondered Euler density...

In this paper we discuss the interplay among (super-)coordinate, Weyl and Lorentz anomaly both in chiral and non-chiral super-gravity represented by (1, 0) and (1, 1) two-dimensional models. It is shown that for this purpose two regu-larization dependent parameters are needed in the effective action. We discuss in full generality the regularization ambiguities of the induced effective action an...

We generalize the method of quantizing effective strings proposed by Polchinski and Strominger to superstrings. The Ramond-Neveu-Schwarz string is different from the Green-Schwarz string in non-critical dimensions. Both are anomaly-free and Poincare invariant. Some implications of the results are discussed. The formal analogy with 4D (super)gravity is pointed out.

We show that any BRST invariant quantum action with open or closed gauge algebra has a corresponding local background gauge invariance. If the BRST symmetry is anomalous, but the anomaly can be removed in the antifield formalism, then the effective action possesses a local background gauge invariance. The presence of antifields (BRST sources) is necessary. As an example we analyze chiral W3 gra...

Recently, Brownstein and Moffat proposed a gravitational mechanism to explain the Pioneer anomaly based on their scalar-tensorvector (STVG) metric theory of gravity. In this paper we show that their model, fitted to the presently available data for the anomalous Pioneer 10/11 acceleration, is in contrast with the latest observational determinations of the perihelion advances of Jupiter, Saturn ...

The holographic Weyl anomaly associated to Chern-Simons gravity in 2n + 1 dimensions is proportional to the Euler term in 2n dimensions, with no contributions from the Weyl tensor. We compute the holographic energy-momentum tensor associated to ChernSimons gravity directly from the action, in an arbitrary odd-dimensional spacetime. We show, in particular, that the counterterms rendering the act...

The special properties of scalars having a mass such that the two possible dimensions of the dual scalar respect the unitarity and the BreitenlohnerFreedman bounds and their ratio is integral (“resonant scalars”) are studied in the AdS/CFT correspondence. The role of logarithmic branches in the gravity theory is related to the existence of a trace anomaly and to a marginal deformation in the Co...

In two-dimensional dilaton gravity theories, there may exist a global Weyl invariance which makes black hole spurious. If the global invariance and the local Weyl invariance of the matter coupling are intact at the quantum level, there is no Hawking radiation. We explicitly verify the absence of anomalies in these symmetries for the model proposed by Callan, Giddings, Harvey and Strominger. The...

Particle swarm optimization is a heuristic global optimization method and also an optimization algorithm, which is based on swarm intelligence. It comes from the research on the bird and fish flock movement behavior. In this paper we introduce and use this method in gravity inverse problem. We discuss the solution for the inverse problem of determining the shape of a fault whose gravity anomaly...

We discuss the two-dimensional dilaton gravity with a scalar field as the source matter where the coupling with gravity is given, besides the minimal one, through an external field. This coupling generalizes the conformal anomaly in the same way as those found in recent literature, but with a diferent motivation. The modification to the Hawking radiation is calculated explicity and show an addi...