267,927 research outputs found

    The genus fields of Artin-Schreier extensions

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    Let qq be a power of a prime number pp. Let k=Fq(t)k=\mathbb{F}_{q}(t) be the rational function field with constant field Fq\mathbb{F}_{q}. Let K=k(α)K=k(\alpha) be an Artin-Schreier extension of kk. In this paper, we explicitly describe the ambiguous ideal classes and the genus field of KK . Using these results we study the pp-part of the ideal class group of the integral closure of Fq[t]\mathbb{F}_{q}[t] in KK. And we also give an analogy of Reˊ\acute{e}dei-Reichardt's formulae for KK.Comment: 9 pages, Corrected typo

    SU(3) Gauge Theory with Adjoint Fermions

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    We analyze the finite temperature phase diagram of QCD with fermions in the adjoint representation. The simulations performed with four dynamical Majorana fermions, which is equivalent to two Dirac fermions, show that the deconfinement and chiral phase transitions occur at two distinct temperatures, Tchiral6.65TdeconfT_{\rm chiral} \simeq 6.65 T_{\rm deconf}. While the deconfinement transition is first order we find evidence for a continuous chiral transition. We also present potentials for T<TdeconfT<T_{\rm deconf} and Tdeconf<T<TchiralT_{\rm deconf}<T< T_{\rm chiral} both for fundamental and adjoint fermion-antifermion pairs.Comment: LATTICE98(hightemp), 3 pages LaTeX2e, espcrc2 style, 6 eps figure

    UA(1)U_A(1) symmetry restoration in QCD with NfN_f flavors

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    Recently, there have been reports that the chirally restored phase of QCD is effectively symmetric under U(Nf)×U(Nf)U(N_f) \times U(N_f) rather than SU(Nf)×SU(Nf)SU(N_f)\times SU(N_f). We supplement their argument by including the contributions from topologically nontrivial gauge field configurations and discuss how the conclusions are modified. General statements are made concerning the particle spectrum of QCD with light NfN_f flavors in the high temperature chirally restored phase.Comment: 6 pages, no figures, revte

    A new algorithm of Langevin simulation and its application to the SU(2) and SU(3) lattice gauge

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    The 2nd order Runge-Kutta scheme Langevin simulation of unquenched QCD in pseudofermion method derived from our general theory shows a behaviour as a function of the Langevin step t better than the Fukugita,Oyanagi,Ukawa's scheme.Comment: Talk given at the ``XVth International Symposium on Lattice Field Theory'', Edinburgh (UK), July 22nd-26th 1997 (LATTICE 97); 3 pages, LaTeX file, one Latex picture, uses espcrc2.st

    The Abelianicity of Cooled SU(2) Lattice Configurations

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    We introduce a gauge-invariant measure of the local "abelianicity" of any given lattice configuration in non-abelian lattice gauge theory; it is essentially a comparison of the magnitude of field strength commutators to the magnitude of the field strength itself. This measure, in conjunction with the cooling technique, is used to probe the SU(2) lattice vacuum for a possible large-scale abelian background, underlying the local short-range field fluctuations. We do, in fact, find a substantial rise in abelianicity over 10 cooling steps or so, after which the abelianicity tends to drop again.Comment: 10 pages, Latex, uses psfi

    Exploring T-shirt Slogans by Content Analysis

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    The study has two primary purposes. First, this study aims to investigate young American consumers’ general attitude towards slogans on T-shirts. Second, this study aims to identify the factors affecting the likability of T-shirt slogans. The results from this preliminary study serve as a foundation for future research in T-shirt slogans

    Partially Dual variables in SU(2) Yang-Mills Theory

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    We propose a reformulation of SU(2) Yang-Mills theory in terms of new variables. These variables are appropriate for describing the theory in its infrared limit, and indicate that it admits knotlike configurations as stable solitons. As a consequence we arrive at a dual picture of the Yang-Mills theory where the short distance limit describes asymptotically free, massless point gluons and the large distance limit describes extended, massive knotlike solitons.Comment: 4 pages, revtex twocolum

    Adaptive Immunity: From Autoimmune Diseases to Neuroinflammation

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    Inflammation is essential for the clearance of pathogens and to facilitate healing of damaged tissue. However, this process must be controlled to limit immunopathology. Cell-intrinsic effects of inhibitory and signaling molecules are known to maintain quiescence and prevent effector differentiation and inflammation. Moreover, specific populations of immune cells exert cell-extrinsic effects for immunosuppression. Therefore, studies on the immunosuppressive functions of these cell populations will provide a better understanding of how inflammation is regulated and how its dysregulation causes human disease. Additional insights in this area may uncover novel targets to be manipulated for therapeutic benefit in autoimmune and inflammatory disorders, such as neurodegenerative diseases. Foxp3-expressing regulatory T (Treg) cells are specialized immunosuppressive cells that establish immune tolerance to prevent the development of autoimmune and other inflammatory diseases, with effector-Treg (eTreg) cells playing a pivotal role. Recently, cellular metabolism has emerged as a mediator to enforce Treg-cell function and heterogeneity. In Chapter 3, we used genetic and pharmacological tools to demonstrate that isoprenoid-dependent posttranslational lipid modifications dictate eTreg-cell accumulation and function by intersecting with T cell receptor (TCR)-induced intracellular signaling. We showed that isoprenoids are essential for activated Treg-cell suppressive activity, and Treg cell-specific deletion of the enzymes that mediate farnesylation and geranylgeranylation (encoded by Fntb and Pggt1b, respectively) leads to a reduction of eTreg cells and the development of fatal autoimmunity. In Chapter 4, we further explored the mechanistic role of protein prenylation in the regulation of eTreg cells by performing a comprehensive analysis of protein prenylation-dependent molecular signaling in eTreg-cells. Specifically, we found that Fntb drives eTreg-cell maintenance by promoting mTORC1 activity-dependent proliferation and ICOS-mediated cellular fitness. In contrast, Pggt1b orchestrated transcriptional programming by TCR stimulation and Rac signaling to establish eTreg-cell differentiation and immune tolerance. Therefore, our results reveal a bidirectional interplay between immune signals, metabolism-mediated posttranslational modifications, and intracellular signaling for the differentiation and maintenance of eTreg cells. Neuroinflammation is also a feature of neurogenerative diseases, but the underlying cellular mechanisms that limit inflammation in neurodegenerative diseases are largely unknown. In Chapter 5, using single cell RNA-sequencing (scRNA-seq) of immune cells in a mouse model of neurodegeneration (specifically, Alzheimer’s disease AD), we found that CD8 T cells accumulated in the brain parenchyma. These CD8 T cells had tissue resident memory-associated features and appeared to retain functionality. Importantly, T cell ablation was found to exacerbate disease-associated deposition of Beta- amyloid (A-Beta) and cognitive decline in a mouse model of AD. Moreover, in the absence of T cells, microglia acquired proinflammatory features and clustered in regions near A-Beta plaques, features associated with more severe disease. Collectively, these results suggest that T cells are critical to restrain microglia activation and limit neurodegeneration-associated pathologies in a murine model of AD
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