Single Inclusive Distribution and Two-Particle Correlations Inside One Jet at "Modified Leading Logarithmic Approximation" of Quantum Chromodynamics II : Steepest Descent Evaluation at Small X

The MLLA single inclusive distribution inside one high energy (gluon) jet at small x is estimated by the steepest descent method. Its analytical expression is obtained outside the "limiting spectrum". It is then used to evaluate 2-particle correlations at the same level of generality. The dependence of both observables on the ratio between the infrared cutoff Q\_0 and Lambda\_QCD is studied. Fong & Webber's results for correlations are recovered at the limits when this ratio goes to 1 and when one stays close to the peak of the single inclusive distribution.Comment: LaTeX, 22 pages, 18 .eps figure

The internal structure of jets at colliders: light and heavy quark inclusive hadronic distributions

In this paper, we report our results on charged hadron multiplicities of heavy quark initiated jets produced in high energy collisions. After implementing the so-called dead cone effect in QCD evolution equations, we find that the average multiplicity decreases significantly as compared to the massless case. Finally, we discuss on the transverse momentum distribution of light quark initiated jets and emphasize on the comparison between our predictions and CDF data.Comment: 6 pages, 3 figures-Talk presented by Redamy Perez-Ramos at Jets in Proton-Proton and Heavy-Ion Collisions, August 12-14, 2010, Prague, Czech Republi

The gradient flow in a twisted box

We study the perturbative behavior of the gradient flow in a twisted box. We apply this information to define a running coupling using the energy density of the flow field. We study the step-scaling function and the size of cutoff effects in SU(2) pure gauge theory. We conclude that the twisted gradient flow running coupling scheme is a valid strategy for step-scaling purposes due to the relatively mild cutoff effects and high precision.Comment: LaTeX. 7 pages. Proceedings of the 31st International Symposium on Lattice Field Theory - LATTICE 2013. July 29 - August 3, 2013. Mainz, German

Making the Cut: Covenant, Curse and Oath in Deut 27-29 and the Incantation Plaques of Arslan Tash (Society of Biblical Literature: Atlanta, 2015)

The phrase “cutting a covenant” is familiar to us from texts of the Hebrew Bible. In Gen 15:18, for example, God makes a covenant with Abram that is accompanied by a ritual enactment. This ritual performance involves the slaughter of animals, arranging the pieces in two rows, and fire passing between the two rows of pieces. The phrase that is used in this passage is: כרת יהוה את–אברם ברית , or “God cut a covenant with Abram.” This phrase “to cut a covenant” לכרות ברית) ) is a common one in the Hebrew Bible. The slaughtering of animals and the performance of other ritual acts to ratify oaths and treaties was an ancient practice in the Near East. Oath and treaty texts from the second millennium BCE from Mari and the Hittite Empire include elements of ritual performance such as animal slaughter, the burning of figurines, and the breaking of model plows and chariots.1 Aramean and Assyrian treaty texts from the first millennium BCE also include elements of ritual slaughter and other performative rituals.2 Also the ratification of the covenant in Deut 27-28 includes the building of an altar, making sacrifices, erecting the torah stones at the altar site, and an oral performance of the covenant with its blessings and curses. So it is no surprise that covenant and performative rituals go together. But what about covenant and incantation texts? What does covenant have to do with magical artifacts

Non-algebraic Examples of Manifolds with the Volume Density Property

Some Stein manifolds (with a volume form) have a large group of (volume-preserving) automorphisms: this is formalized by the (volume) density property, which has remarkable consequences. Until now all known manifolds with the volume density property are algebraic, and the tools used to establish this property are algebraic in nature. In this note we adapt a known criterion to the holomorphic case, and give the first known examples of non-algebraic manifolds with the volume density property: they arise as suspensions or pseudo-affine modifications over Stein manifolds satisfying some technical properties. As an application we show that there are such manifolds that are potential counterexamples to the Zariski Cancellation Problem, a variant of the Toth-Varolin conjecture, and the problem of linearization of C*-actions on C^3