49 research outputs found

    Topological low-temperature limit of Z(2) spin-gauge theory in three dimensions

    Get PDF
    We study Z(2) lattice gauge theory on triangulations of a compact 3-manifold. We reformulate the theory algebraically, describing it in terms of the structure constants of a bidimensional vector space H equipped with algebra and coalgebra structures, and prove that in the low-temperature limit H reduces to a Hopf Algebra, in which case the theory becomes equivalent to a topological field theory. The degeneracy of the ground state is shown to be a topological invariant. This fact is used to compute the zeroth- and first-order terms in the low-temperature expansion of Z for arbitrary triangulations. In finite temperatures, the algebraic reformulation gives rise to new duality relations among classical spin models, related to changes of basis of H.Comment: 10 pages, no figure

    Fluctuating Dimension in a Discrete Model for Quantum Gravity Based on the Spectral Principle

    Full text link
    The spectral principle of Connes and Chamseddine is used as a starting point to define a discrete model for Euclidean quantum gravity. Instead of summing over ordinary geometries, we consider the sum over generalized geometries where topology, metric and dimension can fluctuate. The model describes the geometry of spaces with a countable number nn of points, and is related to the Gaussian unitary ensemble of Hermitian matrices. We show that this simple model has two phases. The expectation value ,theaveragenumberofpointsintheuniverse,isfiniteinonephaseanddivergesintheother.Wecomputethecriticalpointaswellasthecriticalexponentof, the average number of points in the universe, is finite in one phase and diverges in the other. We compute the critical point as well as the critical exponent of . Moreover, the space-time dimension δ\delta is a dynamical observable in our model, and plays the role of an order parameter. The computation of is discussed and an upper bound is found, <2 < 2.Comment: 10 pages, no figures. Third version: This new version emphasizes the spectral principle rather than the spectral action. Title has been changed accordingly. We also reformulated the computation of the dimension, and added a new reference. To appear in Physical Review Letter

    Dirac operator on the q-deformed Fuzzy sphere and Its spectrum

    Full text link
    The q-deformed fuzzy sphere SqF2(N)S_{qF}^2(N) is the algebra of (N+1)×(N+1)(N+1)\times(N+1) dim. matrices, covariant with respect to the adjoint action of \uq and in the limit q1q\to 1, it reduces to the fuzzy sphere SF2(N)S_{F}^2(N). We construct the Dirac operator on the q-deformed fuzzy sphere-SqF2(N)S_{qF}^{2}(N) using the spinor modules of \uq. We explicitly obtain the zero modes and also calculate the spectrum for this Dirac operator. Using this Dirac operator, we construct the \uq invariant action for the spinor fields on SqF2(N)S_{qF}^{2}(N) which are regularised and have only finite modes. We analyse the spectrum for both qq being root of unity and real, showing interesting features like its novel degeneracy. We also study various limits of the parameter space (q, N) and recover the known spectrum in both fuzzy and commutative sphere.Comment: 19 pages, 6 figures, more references adde

    Framing access to medicines in developing countries: an analysis of media coverage of Canada's Access to Medicines Regime

    Get PDF
    <p>Abstract</p> <p>Background</p> <p>In September 2003, the Canadian government committed to developing legislation that would facilitate greater access to affordable medicines for developing countries. Over the course of eight months, the legislation, now known as Canada's Access to Medicines Regime (CAMR), went through a controversial policy development process and the newspaper media was one of the major venues in which the policy debates took place. The purpose of this study was to examine how the media framed CAMR to determine how policy goals were conceptualized, which stakeholder interests controlled the public debate and how these variables related to the public policy process.</p> <p>Methods</p> <p>We conducted a qualitative content analysis of newspaper coverage of the CAMR policy and implementation process from 2003-2008. The primary theoretical framework for this study was framing theory. A total of 90 articles from 11 Canadian newspapers were selected for inclusion in our analysis. A team of four researchers coded the articles for themes relating to access to medicines and which stakeholders' voice figured more prominently on each issue. Stakeholders examined included: the research-based industry, the generic industry, civil society, the Canadian government, and developing country representatives.</p> <p>Results</p> <p>The most frequently mentioned themes across all documents were the issues of drug affordability, intellectual property, trade agreements and obligations, and development. Issues such as human rights, pharmaceutical innovation, and economic competitiveness got little media representation. Civil society dominated the media contents, followed far behind by the Canadian government, the research-based and generic pharmaceutical industries. Developing country representatives were hardly represented in the media.</p> <p>Conclusions</p> <p>Media framing obscured the discussion of some of the underlying policy goals in this case and failed to highlight issues which are now significant barriers to the use of the legislation. Using the media to engage the public in more in-depth exploration of the policy issues at stake may contribute to a more informed policy development process. The media can be an effective channel for those stakeholders with a weaker voice in policy deliberations to raise public attention to particular issues; however, the political and institutional context must be taken into account as it may outweigh media framing effects.</p

    Heritable determinants of male fertilization success in the nematode Caenorhabditis elegans

    Get PDF
    <p>Abstract</p> <p>Background</p> <p>Sperm competition is a driving force in the evolution of male sperm characteristics in many species. In the nematode <it>Caenorhabditis elegans</it>, larger male sperm evolve under experimentally increased sperm competition and larger male sperm outcompete smaller hermaphrodite sperm for fertilization within the hermaphrodite reproductive tract. To further elucidate the relative importance of sperm-related traits that contribute to differential reproductive success among males, we quantified within- and among-strain variation in sperm traits (size, rate of production, number transferred, competitive ability) for seven male genetic backgrounds known previously to differ with respect to some sperm traits. We also quantified male mating ability in assays for rates of courtship and successful copulation, and then assessed the roles of these pre- and post-mating traits in first- and second-male fertilization success.</p> <p>Results</p> <p>We document significant variation in courtship ability, mating ability, sperm size and sperm production rate. Sperm size and production rate were strong indicators of early fertilization success for males that mated second, but male genetic backgrounds conferring faster sperm production make smaller sperm, despite virgin males of all genetic backgrounds transferring indistinguishable numbers of sperm to mating partners.</p> <p>Conclusions</p> <p>We have demonstrated that sperm size and the rate of sperm production represent dominant factors in determining male fertilization success and that <it>C. elegans </it>harbors substantial heritable variation for traits contributing to male reproductive success. <it>C. elegans </it>provides a powerful, tractable system for studying sexual selection and for dissecting the genetic basis and evolution of reproduction-related traits.</p

    Recombinational Landscape and Population Genomics of Caenorhabditis elegans

    Get PDF
    Recombination rate and linkage disequilibrium, the latter a function of population genomic processes, are the critical parameters for mapping by linkage and association, and their patterns in Caenorhabditis elegans are poorly understood. We performed high-density SNP genotyping on a large panel of recombinant inbred advanced intercross lines (RIAILs) of C. elegans to characterize the landscape of recombination and, on a panel of wild strains, to characterize population genomic patterns. We confirmed that C. elegans autosomes exhibit discrete domains of nearly constant recombination rate, and we show, for the first time, that the pattern holds for the X chromosome as well. The terminal domains of each chromosome, spanning about 7% of the genome, exhibit effectively no recombination. The RIAILs exhibit a 5.3-fold expansion of the genetic map. With median marker spacing of 61 kb, they are a powerful resource for mapping quantitative trait loci in C. elegans. Among 125 wild isolates, we identified only 41 distinct haplotypes. The patterns of genotypic similarity suggest that some presumed wild strains are laboratory contaminants. The Hawaiian strain, CB4856, exhibits genetic isolation from the remainder of the global population, whose members exhibit ample evidence of intercrossing and recombining. The population effective recombination rate, estimated from the pattern of linkage disequilibrium, is correlated with the estimated meiotic recombination rate, but its magnitude implies that the effective rate of outcrossing is extremely low, corroborating reports of selection against recombinant genotypes. Despite the low population, effective recombination rate and extensive linkage disequilibrium among chromosomes, which are techniques that account for background levels of genomic similarity, permit association mapping in wild C. elegans strains

    Agronomic and environmental implications of using a By-Product of the Intermediate Tanning Processes as Nitrogen Fertilizer

    Full text link
    ABSTRACT Nitrogen (N) is an important nutrient for agriculture, and Brazil is heavily dependent on N imports. A by-product of the intermediate processes of tanning (BPIPT) may be used as an N fertilizer which will reduce this dependency, but its chromium (Cr) content is a matter of concern. This work assessed Cr (III, VI) and N (total, inorganic) contents in four soil samples with contrasting characteristics (especially with respect to their content of manganese (Mn), a potential Cr(III) oxidant), following the addition of the BPIPT. Chemical and microbiological indicators of soil quality were measured to assess the agronomic and environmental implications of the BPIPT addition in Brazilian soils. Our results indicate that the BPIPT is a promising source of N. The originally available Mn content in the soil did not influence the effect of the BPIPT on soil Cr(VI) content. Finally, microbial activity was generally stimulated after BPIPT addition to the soil. This information is relevant because: 1) it shows that the beneficial use of the BPIPT as an N fertilizer is important for adding value to a by-product with agronomic potential; and 2) it indicates that, at the dosage of the BPIPT used in this study (2.5 g kgsoil&#8722;1), the typical increases in the soil concentration of labile Cr (0&#8211;25 mg kgsoil&#8722;1) and Cr(VI) (0&#8211;0.8 mg kgsoil&#8722;1) due to the application of the BPIPT are not detrimental to biological activity in the soil. However, further investigations are still necessary to evaluate the mobility of these Cr species in the soil and possible risks of groundwater contamination, which were not addressed in this study
    corecore