Generalized *-Products, Wilson Lines and the Solution of the Seiberg-Witten Equations

Higher order terms in the effective action of noncommutative gauge theories exhibit generalizations of the *-product (e.g. *' and *-3). These terms do not manifestly respect the noncommutative gauge invariance of the tree level action. In U(1) gauge theories, we note that these generalized *-products occur in the expansion of some quantities that are invariant under noncommutative gauge transformations, but contain an infinite number of powers of the noncommutative gauge field. One example is an open Wilson line. Another is the expression for a commutative field strength tensor in terms of the noncommutative gauge field. Seiberg and Witten derived differential equations that relate commutative and noncommutative gauge transformations, gauge fields and field strengths. In the U(1) case we solve these equations neglecting terms of fourth order in the gauge field but keeping all orders in the noncommutative parameter.Comment: 10 pages, minor changes to text, references adde

Winter wheat argronomy survey

Non-Peer Reviewe

Analyzing Blackboard: Using a Learning Management System From the Student Perspective

This report was provided to gain insight into the student perspective on how students interact with their current Learning Management System (LMS), Blackboard. It is currently used to house course content for La Salle’s traditional, online, and hybrid (combination of traditional and online sessions) courses. The university is currently investigating on whether or not there are advantages to switching to an alternate LMS and wanted to gather information on the current student opinion of the tool. The research shows that La Salle’s student population did not favor one LMS tool over another but the research did show which features were important to students. The goal of this research was to isolate the student body opinion around La Salle’s current LMS solution, and for this goal the response was an approval of 3.5 out of 5 rating, while also stating that Blackboard is better than or comparable to any other platform. There was no major discontent with the current environment, and of the students who have had experience in different systems, ratings listed that they were not anxious to leave the blackboard environment. Recommendations to improve student perception of Blackboard will include: Continue with Blackboard as the preferred solution. Provide free subscription to use with Blackboard’s mobile application Setup standards for organizing class content Improve the teacher’s trainin

Follicle and Oocyte Relationships During Superovulation in the Heifer

As the female cow matures, the majority of her follicles become atretic and are lost as a store house of the female gamete (oocyte). Emphasis on in vitro fertilization to maximize the utilization of superior animals for transplant of frozen embryos is considerably limited by the number of viable mature oocytes that can be collected. Understanding the biochemical environment required to produce maximum numbers of mature, fertilizable oocytes is a prime requirement to utilize this technology in increasing meat animal production and efficiency. The goal of these studies was to characterize the endocrine and biochemical events associated with follicle and oocyte maturation to establish the best environment for follicle development and maximize numbers

The Opacity of the Intergalactic Medium During Reionization: Resolving Small-Scale Structure

Early in the reionization process, the intergalactic medium (IGM) would have been quite inhomogeneous on small scales, due to the low Jeans mass in the neutral IGM and the hierarchical growth of structure in a cold dark matter Universe. This small-scale structure acted as an important sink during the epoch of reionization, impeding the progress of the ionization fronts that swept out from the first sources of ionizing radiation. Here we present results of high-resolution cosmological hydrodynamics simulations that resolve the cosmological Jeans mass of the neutral IGM in representative volumes several Mpc across. The adiabatic hydrodynamics we follow are appropriate in an unheated IGM, before the gas has had a chance to respond to the photoionization heating. Our focus is determination of the resolution required in cosmological simulations in order to sufficiently sample and resolve small-scale structure regulating the opacity of an unheated IGM. We find that a dark matter particle mass of m_dm 1 Mpc are required. With our converged results we show how the mean free path of ionizing radiation and clumping factor of ionized hydrogen depends upon the ultraviolet background (UVB) flux and redshift. We find, for example at z = 10, clumping factors typically of 10 to 20 for an ionization rate of Gamma ~ 0.3 - 3 x 1e-12 s^-1, with corresponding mean free paths of ~ 3 - 15 Mpc, extending previous work on the evolving mean free path to considerably smaller scales and earlier times.Comment: Accepted for publication in the Astrophysical Journa