Quantum Gravity Hamiltonian for Manifolds with Boundary

In canonical quantum gravity, when space is a compact manifold with boundary there is a Hamiltonian given by an integral over the boundary. Here we compute the action of this `boundary Hamiltonian' on observables corresponding to open Wilson lines in the new variables formulation of quantum gravity. In cases where the boundary conditions fix the metric on the boundary (e.g., in the asymptotically Minkowskian case) one can obtain a finite result, given by a `shift operator' generating translations of the Wilson line in the direction of its tangent vector. A similar shift operator serves as the Hamiltonian constraint in Morales-T\'ecotl and Rovelli's work on quantum gravity coupled to Weyl spinors. This suggests the appearance of an induced field theory of Weyl spinors on the boundary, analogous to that considered in Carlip's work on the statistical mechanics of the 2+1-dimensional black hole.Comment: 17 pages in LaTeX format, vastly improved versio

Critical Behavior of Dimensionally Continued Black Holes

The critical behavior of black holes in even and odd dimensional spacetimes is studied based on Ba\~nados-Teitelboim-Zanelli (BTZ) dimensionally continued black holes. In even dimensions it is found that asymptotically flat and anti de-Sitter Reissner-Nordstr\"om black holes present up to two second order phase transitions. The case of asymptotically anti-de-Sitter Schwarzschild black holes present only one critical transition and a minimum of temperature, which occurs at the transition. Finally, it is shown that phase transitions are absent in odd dimensions.Comment: 21 pages in Latex format, no figures, vastly improved version to appear in Phys. Rev.

UCRHEP-T132 Anomalous commutator corrections to sum rules

In this paper we consider the contributions of anomalous commutators to various QCD sum rules. Using a combination of the BJL limit with the operator product expansion the results are presented in terms of the vacuum condensates of gauge invariant operators. It is demonstrated that the anomalous contributions are no negligible and reconcile various apparently contradictory calculation

Research data supporting "Surface plasmons on Pd(110): An ab initio calculation"

We provide supporting dataset corresponding to the paper “Surface plasmon on Pd(110): an ab initio calculation”, by U. Muniain, R. Esteban, I. P. Chernov, J. Aizpurua and V. M. Silkin, published in Physical Review B (DOI: 10.1103/PhysRevB.103.045407). The dataset is organized in 12 binary files to extract the imaginary part of the noninteracting response function Xi0_{GG’}(q,w) (as determined by Eq. (3) in the article), for three particular q vectors in the Gamma-X direction: q = 0.0168 1/Å, q = 0.0840 1/Å and q = 0.4032 1/Å. For q = 0.0168 1/Å, the full set of data is divided into four files “Pd110_01_Ax”, where x = 1, 2, 3 and 4. We also include a FORTRAN program “Reading_Xi0_IM_01.f” that reads the response function from those four files for a range of energies, as determined in the FORTRAN program. This FORTRAN program can be used to handle the data, as stated in the program itself. For the other two q vectors, the data (four files) and the reading FORTRAN program are organized in the same way, where the number “01” in the files of the example above is replaced by “05” for q = 0.0840 1/Å and by “24” for q = 0.4032 1/Å.Peer reviewe