Solving 3+1 QCD on the Transverse Lattice Using 1+1 Conformal Field Theory

A new transverse lattice model of $3+1$ Yang-Mills theory is constructed by introducing Wess-Zumino terms into the 2-D unitary non-linear sigma model action for link fields on a 2-D lattice. The Wess-Zumino terms permit one to solve the basic non-linear sigma model dynamics of each link, for discrete values of the bare QCD coupling constant, by applying the representation theory of non-Abelian current (Kac-Moody) algebras. This construction eliminates the need to approximate the non-linear sigma model dynamics of each link with a linear sigma model theory, as in previous transverse lattice formulations. The non-perturbative behavior of the non-linear sigma model is preserved by this construction. While the new model is in principle solvable by a combination of conformal field theory, discrete light-cone, and lattice gauge theory techniques, it is more realistically suited for study with a Tamm-Dancoff truncation of excited states. In this context, it may serve as a useful framework for the study of non-perturbative phenomena in QCD via analytic techniques.Comment: 25 page

State of Montana v. Ronald Dwight Tipton: On Petition for a Writ of Certiorari to the Supreme Court of the State of Montana

Montana’s pending certiorari petition in Montana v. Tipton provides the Supreme Court with an opportunity to review the important issue of when States are permitted to revive criminal cases based on newly discovered DNA evidence. Until recently, many states have had child sex abuse statutes of limitation that have made it difficult for prosecution to occur. In Stogner v. California, 539 U.S. 607 (2003), the Supreme Court addressed California’s attempt to address the injustice by reviving expired criminal statutes of limitations in all cases of child sex abuse. In a 5-4 decision, the Court held that the California law violated the Ex Post Facto Clause. For a narrow majority of the Court, the blanket revival of criminal claims went too far. Since Stogner, the science of DNA evidence in sex assault cases has become increasingly sophisticated and reliable and states have begun to enact laws to permit prosecution of child rape where conclusive DNA evidence becomes available. This deeply reliable evidence justifies the reopening of a child sexual abuse case even when the statute of limitations previously expired, because it does not raise the risk of unfairness to the perpetrator. It is also necessary to prevent further abuse by the now-identified perpetrator. In this case, eight-year-old L.T. was raped in her home in the middle of the night. Evidence was gathered immediately. The wrong man served a decade in prison due to a false conviction. It is now possible, due to a later-discovered DNA match with the actual perpetrator, to hold the right man accountable. This case is a proper vehicle for the Supreme Court to consider the appropriate interpretation and limits of Stogner v. California. By permitting prosecution of child abuse perpetrators, this Court would not only be providing particular victims access to much-needed justice but would also be aiding in the incarceration of dangerous sexual predators before they could abuse more children. Nothing in the Constitution forbids these laudable conclusions

Discussion of Bar Applicants Taking Noncommunist Oath

With responses from two Bar members

The impact of the physical environment on depressive symptoms of older residents living in care homes : a mixed methods study

Background and Objectives: Forty percent of residents living in care homes in the United Kingdom have significant depressive symptoms. Care homes can appear to be depressing places, but whether the physical environment of homes directly affects depression in care home residents is unknown. This study explores the relationship between the physical environment and depressive symptoms of older people living in care homes. Research Design and Methods: In a prospective cohort study the physical environment of 50 care homes were measured using the Sheffield Care Environment Assessment Matrix (SCEAM) and depressive symptoms of 510 residents measured using the Geriatric Depression Scale (GDS-15). The study was supplemented with semi-structured interviews with residents living in the care homes. Quantitative data were analyzed using multi-level modeling, and qualitative data analyzed using a thematic framework approach. Results: The overall physical environment of care homes (overall SCEAM score) did not predict depressive symptoms. Controlling for dependency, social engagement, and home type, having access to outdoor space was the only environmental variable to significantly predict depressive symptoms. Residents interviewed reported that access to outdoor space was restricted in many ways: locked doors, uneven foot paths, steep steps, and needing permission or assistance to go outside. Discussion and Implications: We provide new evidence to suggest that access to outdoor space predicts depressive symptoms in older people living in care home. Interventions aimed at increasing access to outdoor spaces could positively affect depressive symptoms in older people

Analysis of clogging in constructed wetlands using magnetic resonance

In this work we demonstrate the potential of permanent magnet based magnetic resonance sensors to monitor and assess the extent of pore clogging in water filtration systems. The performance of the sensor was tested on artificially clogged gravel substrates and on gravel bed samples from constructed wetlands used to treat wastewater. Data indicate that the spin lattice relaxation time is linearly related to the hydraulic conductivity in such systems. In addition, within biologically active filters we demonstrate the ability to determine the relative ratio of biomass to abiotic solids, a measurement which is not possible using alternative techniques

A 140 GHz pulsed EPR/212 MHz NMR spectrometer for DNP studies

We described a versatile spectrometer designed for the study of dynamic nuclear polarization (DNP) at low temperatures and high fields. The instrument functions both as an NMR spectrometer operating at 212 MHz ([superscript 1]H frequency) with DNP capabilities, and as a pulsed-EPR operating at 140 GHz. A coiled TE[subscript 011] resonator acts as both an NMR coil and microwave resonator, and a double balanced ([superscript 1]H, [superscript 13]C) radio frequency circuit greatly stabilizes the NMR performance. A new 140 GHz microwave bridge has also been developed, which utilizes a four-phase network and ELDOR channel at 8.75 GHz, that is then multiplied and mixed to obtain 140 GHz microwave pulses with an output power of 120 mW. Nutation frequencies obtained are as follows: 6 MHz on S = 1/2 electron spins, 100 kHz on [superscript 1]H, and 50 kHz on [superscript 13]C. We demonstrate basic EPR, ELDOR, ENDOR, and DNP experiments here. Our solid effect DNP results demonstrate an enhancement of 144 and sensitivity gain of 310 using OX063 trityl at 80 K and an enhancement of 157 and maximum sensitivity gain of 234 using Gd-DOTA at 20 K, which is significantly better performance than previously reported at high fields (⩾3 T).National Institutes of Health (U.S.) (EB002804)National Institutes of Health (U.S.) (EB002026)National Institutes of Health (U.S.) (EB001965)National Institutes of Health (U.S.) (EB004866)Deutsche Forschungsgemeinschaft (Postdoctoral Fellowship