145 research outputs found

    Strongly coupled lattice gauge theory with dynamical fermion mass generation in three dimensions

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    We investigate the critical behaviour of a three-dimensional lattice \chiU\phi_3 model in the chiral limit. The model consists of a staggered fermion field, a U(1) gauge field (with coupling parameter β\beta) and a complex scalar field (with hopping parameter κ\kappa). Two different methods are used: 1) fits of the chiral condensate and the mass of the neutral unconfined composite fermion to an equation of state and 2) finite size scaling investigations of the Lee-Yang zeros of the partition function in the complex fermion mass plane. For strong gauge coupling (β<1\beta < 1) the critical exponents for the chiral phase transition are determined. We find strong indications that the chiral phase transition is in one universality class in this β\beta interval: that of the three-dimensional Gross-Neveu model with two fermions. Thus the continuum limit of the \chiU\phi_3 model defines here a nonperturbatively renormalizable gauge theory with dynamical mass generation. At weak gauge coupling and small κ\kappa, we explore a region in which the mass in the neutral fermion channel is large but the chiral condensate on finite lattices very small. If it does not vanish in the infinite volume limit, then a continuum limit with massive unconfined fermion might be possible in this region, too.Comment: 27 pages, 16 figure

    Case for interdisciplinary environmental education and research

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    Problem statement: Interdisciplinary environmental education and research at American colleges and universities have been criticized for ambiguous focus, insufficient integration and lack of rigor. Part of the reason for a clearly articulated conceptualization of the field is the failure to reach a consensus among those in the environmental profession and academic community on an overarching paradigm of environmental education and research.Approach: This essay argued for situating interdisciplinary environmental education and research on the principles of sustainability.Results: We believe that sustainable solutions to the complex problems facing us at the interface of society and nature cannot be found using unidisciplinary and multidisciplinary approaches. Instead, what is needed is an interdisciplinary synthesis across a wide range of natural sciences, social sciences, applied sciences and the humanities. The appropriate mix of these depends on the particular problem being addressed.Conclusion: By focusing on human quality of life, the health of systems that supply the resources needed for quality of life improvements and the regulation of capital flows between and among these systems, we can devised an educational and research agenda that more efficiently meets the needs of today's generations and those that follow.Peer reviewedPsycholog

    Two-dimensional model of dynamical fermion mass generation in strongly coupled gauge theories

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    We generalize the NF=2N_F=2 Schwinger model on the lattice by adding a charged scalar field. In this so-called χUϕ2\chi U\phi_2 model the scalar field shields the fermion charge, and a neutral fermion, acquiring mass dynamically, is present in the spectrum. We study numerically the mass of this fermion at various large fixed values of the gauge coupling by varying the effective four-fermion coupling, and find an indication that its scaling behavior is the same as that of the fermion mass in the chiral Gross-Neveu model. This suggests that the χUϕ2\chi U\phi_2 model is in the same universality class as the Gross-Neveu model, and thus renormalizable and asymptotic free at arbitrary strong gauge coupling.Comment: 18 pages, LaTeX2e, requires packages rotating.sty and curves.sty from CTA

    Degradation of haloaromatic compounds

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    An ever increasing number of halogenated organic compounds has been produced by industry in the last few decades. These compounds are employed as biocides, for synthetic polymers, as solvents, and as synthetic intermediates. Production figures are often incomplete, and total production has frequently to be extrapolated from estimates for individual countries. Compounds of this type as a rule are highly persistent against biodegradation and belong, as "recalcitrant" chemicals, to the class of so-called xenobiotics. This term is used to characterise chemical substances which have no or limited structural analogy to natural compounds for which degradation pathways have evolved over billions of years. Xenobiotics frequently have some common features. e.g. high octanol/water partitioning coefficients and low water solubility which makes for a high accumulation ratio in the biosphere (bioaccumulation potential). Recalcitrant compounds therefore are found accumulated in mammals, especially in fat tissue, animal milk supplies and also in human milk. Highly sophisticated analytical techniques have been developed for the detection of organochlorines at the trace and ultratrace level

    Natural environments, ancestral diets, and microbial ecology: is there a modern “paleo-deficit disorder”? Part II

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