Area Law Micro-State Entropy from Criticality and Spherical Symmetry

It is often assumed that the area law of micro-state entropy and the holography are intrinsic properties exclusively of the gravitational systems, such as black holes. We construct a non-gravitational model that exhibits an entropy that scales as area of a sphere of one dimension less. It is represented by a non-relativistic bosonic field living on a d-dimensional sphere of radius R and experiencing an angular-momentum-dependent attractive interaction. We show that the system possesses a quantum critical point with the emergent gapless modes. Their number is equal to the area of a (d-1)-dimensional sphere of the same radius R. These gapless modes create an exponentially large number of degenerate micro-states with the corresponding micro-state entropy given by the area of the same (d-1)-dimensional sphere. Thanks to a double-scaling limit, the counting of the entropy and of the number of the gapless modes is made exact. The phenomenon takes place for arbitrary number of dimensions and can be viewed as a version of holography.Comment: 7 page

Study of Systematic Uncertainties of Single Top Production at ATLAS

Sytematic uncertainties to the single top production cross section measurement at the ATLAS experiment has been studied. Different sources of systematic uncertainties such as detector luminosity, jet energy calibration, SM background normalization, PDF parameterization and others have been considered. Large scale Monte-Carlo events simulation has been performed to estimate the contribution of each source in the overall uncertainty. The study was done for cut based analysis as well as for multivariate analysis of the single top measurements in ATLAS. The total systematic uncertainties of the single top cross-section measurements in its three production channels have been estimated at 1 $\mathrm{fb}^{-1}$ and 10 $\mathrm{fb}^{-1}$ integrated luminosity of the LHC.Comment: Proceedings of the International Workshop on Top Quark Physics, 18-24 May 2008, La Biodola, Isola D'Elba, Ital

Top quark pair production cross-section results at LHC in final states with tau or no leptons

ATLAS and CMS measured the top quark pair production inclusive cross section using proton-proton collision data collected at 7 TeV c.m. energy at the LHC during the year 2011 in several channels. This article presents the measurements of the cross section using selections of top quark pair production events with one hadronically decaying {\tau} lepton or no leptons at all.Comment: Proceedings of the 5th International Workshop on Top Quark Physics, September 16-21, 2012, Winchester, U.

Safety of Minkowski Vacuum

We give a simple argument suggesting that in a consistent quantum field theory tunneling from Minkowski to a lower energy vacuum must be impossible. Theories that allow for such a tunneling also allow for localized states of negative mass, and therefore, should be inconsistent.Comment: 3 pages, Late