arXiv subjects

R. Kantowski

Publications and source records attributed to R. Kantowski.

21 records · Page 2Linked to original sources

arXiv1994

A Measure on a Subspace of FRW Solutions and ``The Flatness Problem" of Standard Cosmology

We use the metric on the space of gravity fields given by DeWitt to construct a unique kinematic measure on the space of FRW simple fluids and show that when the mass parameter $Ω$ is used as a coordinate this measure is singular at $Ω= 1$. This singularity, combined with the time evolution of $Ω$, distorts distributions of $Ω$ values to be concentrated in the neighborhood of 1 at early times. It is a distorted distribution of $Ω$ values that sometimes misleads the casual observer to conclude that $Ω$ must be exactly equal to 1.

hep-th↗

arXiv1994

A Neural Network for Locating the Primary Vertex in a Pixel Detector

Using simulated collider data for $p+p\rightarrow 2{\rm Jets}\ $ interactions in a 2-barrel pixel detector, a neural network is trained to construct the coordinate of the primary vertex to a high degree of accuracy. Three other estimates of this coordinate are also considered and compared to that of the neural network. It is shown that the network can match the best of the traditional estimates.

hep-ex↗

arXiv1992

One-loop Vilkovisky-DeWitt Counterterms for 2D Gravity plus Scalar Field Theory

The divergent part of the one-loop off-shell effective action is computed for a single scalar field coupled to the Ricci curvature of 2D gravity ($c ϕR$), and self interacting by an arbitrary potential term $V(ϕ)$. The Vilkovisky-DeWitt effective action is used to compute gauge-fixing independent results. In our background field/covariant gauge we find that the Liouville theory is finite on shell. Off-shell, we find a large class of renormalizable potentials which include the Liouville potential. We also find that for backgrounds satisfying $R=0$, the Liouville theory is finite off shell, as well.

hep-th↗