Quasi-Local Formulation of Non-Abelian Finite-Element Gauge Theory

Recently it was shown how to formulate the finite-element equations of motion of a non-Abelian gauge theory, by gauging the free lattice difference equations, and simultaneously determining the form of the gauge transformations. In particular, the gauge-covariant field strength was explicitly constructed, locally, in terms of a path ordered product of exponentials (link operators). On the other hand, the Dirac and Yang-Mills equations were nonlocal, involving sums over the entire prior lattice. Earlier, Matsuyama had proposed a local Dirac equation constructed from just the above-mentioned link operators. Here, we show how his scheme, which is closely related to our earlier one, can be implemented for a non-Abelian gauge theory. Although both Dirac and Yang-Mills equations are now local, the field strength is not. The technique is illustrated with a direct calculation of the current anomalies in two and four space-time dimensions. Unfortunately, unlike the original finite-element proposal, this scheme is in general nonunitary.Comment: 19 pages, REVTeX, no figure

Letter from Milton Miller (July 31, 1936)

Typed letter addressed to the State Organizational Committee, Young Communist League. Handwritten note: Oct, 1936. Student Publications: The Campus Newspaper Collectio

2. Establishment of the School

The formal establishment of the New York State School of Industrial and Labor relations grew out of the thoughtful and vigorous action of a unique group of practical politicians who firmly believed, as they stated in their first report, that “Though we may legislate to the end of time, there will never be industrial peace and harmony without good faith, integrity, a high degree of responsibility, and a real desire to cooperate on the part of all parties concerned.

Milton\u27s religious attitude in Samson Agonistes.

The criticism of Milton\u27s Samson Agonistes has generally centered about interpretation of its autobiographical content and the interpretation of its classical form. The aim of this thesis is to show the relation of the inner, psychological form to the Puritan tradition. The biblical story from which Samson was derived, Judges 13-16, offers little to the scholar in understanding the psychological impetus of Samson. It is mainly a treatment of a pagan narrative demonstrating the snares inherent in trusting a woman with secrets. Samson finally regains his strength and pulls down the temple at Gaza and the narrative ends

Tapered Roller Bearing Test Rig: Axially Loaded Application to Accelerate Bearing Failure

Problem Statement: Fatigue life testing of large tapered roller bearing components for rail applications is often very costly and time consuming. The purpose of this project is to assist Amsted Rail Company, Inc. develop a large railroad tapered roller bearing test rig that does not require scaled down prototypes bearings. As these are tapered rollers, loads can be applied from either the lateral or radial direction. L10 bearing life test predictions for the test rig bearings should be carried out using the American Bearing Manufacturers Association standards. The test rig can be designed to test as many as 4 bearings at a time or as little as one bearing raceway (1/2 bearing) at a time. The overall goal of the project is to design a test rig that will provide accelerated life test results, create solid models of the test rig design for illustration purposes, and provide supporting design calculations. Rationale: With completion of this project it will allow Amstead Rail Company Inc. to test their bearing products in a quicker and more efficient manner. They will be able to obtain test data in a much quicker manner, drastically decreasing the amount of time needed to make manufacturing adjustments to current production. Secondly, it will allow Amstead Rail to excel in product development by enabling them to test prototype bearing at a never achieved pace. Approach: Our team has used the method of static analysis to solve for the loads corresponding to a rail car bearing under full and partial loads. We then designed a prototype test rig and that we saw as a best fit to our customers need. We then animated the product in 3D using the Inventor CAD program and analyzed the rig/bearing in ANSYS computer software to ensure that it could provide/withstand the designed loads. Interim Results and Conclusions: As of 12/1/2014 our team has determined the static loads that may be seen in the rig and bearing during testing operation. We have factored in many engineering criteria and worked with our contact personnel at Amstead Rail to ensure that our prototype design will meet their desired needs. Currently, our team starting to move forward with the Inventor 3D modeling and ANSYS load analysis of the test rig. Anticipated Results and Conclusions: The expected results of this design project are to provide a bearing test rig concept that has been proven through static analysis; with corresponding 3D CAD drawings that will allow for a functioning prototype to be built along with a bill of materials needed to create the rig.https://scholarscompass.vcu.edu/capstone/1058/thumbnail.jp

Hydrostatic pressure study of single-crystalline UNi0.5Sb2

We studied single-crystals of the antiferromagnetic compound UNi0.5Sb2 (TN ~ 161 K) by means of measurements of magnetic susceptibility (chi), specific heat (Cp), and electrical resistivity (rho) at ambient pressure, and resistivity under hydrostatic pressures up to 20 kbar, in the temperature range from 1.9 to 300 K. The thermal coefficient of the electrical resistivity (drho/dT) changes drastically from positive below TN to negative above, reflecting the loss of spin-disorder scattering in the ordered phase. Two small features in the rho vs T data centered near 40 and 85 K correlate well in temperature with features in the magnetic susceptibility and are consistent with other data in the literature. These features are quite hysteretic in temperature, i.e., the difference between the warming and cooling cycles are about 10 and 6 K, respectively. The effect of pressure is to raise TN at the approximate rate of 0.76 K/kbar, while progressively suppressing the amplitude of the small features in rho vs T at lower temperatures and increasing the thermal hysteresis.Comment: 9 pages, 3 figues, 2007-mmm conferenc