567 research outputs found

    Finite Temperature Wave-Function Renormalization, A Comparative Analysis

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    We compare two competing theories regarding finite temperature wave-function corrections for the process He+eH \to e^+e^- and for n+νp+en+\nu \to p+e^- and related processes of interest for primordial nucleosynthesis. Although the two methods are distinct (as shown in He+eH \to e^+e^-) they yield the same finite temperature correction for all npn\to p and pnp \to n processes. Both methods yield an increase in the He/H ratio of .01% due to finite temperature renormalization rather than a decrease of .16% as previously predicted.Comment: 12 pages, 3 figures. LaTe

    Percolation properties of the 2D Heisenberg model

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    We analyze the percolation properties of certain clusters defined on configurations of the 2--dimensional Heisenberg model. We find that, given any direction \vec{n} in O(3) space, the spins almost perpendicular to \vec{n} form a percolating cluster. This result gives indications of how the model can avoid a previously conjectured Kosterlitz-Thouless phase transition at finite temperature T.Comment: 4 pages, 3 eps figures. Revised version (more clear abstract, some new references

    On some singularities of the correlation functions that determine neutrino opacities

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    Certain perturbation graphs in the calculation of the effects of the medium on neutrino scattering in supernova matter have a nonintegrable singularity in a physical region. A number of papers have addressed the apparent pathology through an ansatz that invokes higher order (rescattering) effects. Taking the Gamow-Teller terms as an example, we display an expression for the spin-spin correlation function that determines the cross-sections. It is clear from the form that there are no pathologies in the order by order perturbation expansion. Explicit formulae are given for a simple case, leading to an answer that is very different from one given by other authors.Comment: 8 page

    γδ T cells affect IL-4 production and B-cell tolerance

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    γδ T cells can influence specific antibody responses. Here, we report that mice deficient in individual γδ T-cell subsets have altered levels of serum antibodies, including all major subclasses, sometimes regardless of the presence of αβ T cells. One strain with a partial γδ deficiency that increases IgE antibodies also displayed increases in IL-4–producing T cells (both residual γδ T cells and αβ T cells) and in systemic IL-4 levels. Its B cells expressed IL-4–regulated inhibitory receptors (CD5, CD22, and CD32) at diminished levels, whereas IL-4–inducible IL-4 receptor α and MHCII were increased. They also showed signs of activation and spontaneously formed germinal centers. These mice displayed IgE-dependent features found in hyper-IgE syndrome and developed antichromatin, antinuclear, and anticytoplasmic autoantibodies. In contrast, mice deficient in all γδ T cells had nearly unchanged Ig levels and did not develop autoantibodies. Removing IL-4 abrogated the increases in IgE, antichromatin antibodies, and autoantibodies in the partially γδ-deficient mice. Our data suggest that γδ T cells, controlled by their own cross-talk, affect IL-4 production, B-cell activation, and B-cell tolerance

    Susceptibility and Percolation in 2D Random Field Ising Magnets

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    The ground state structure of the two-dimensional random field Ising magnet is studied using exact numerical calculations. First we show that the ferromagnetism, which exists for small system sizes, vanishes with a large excitation at a random field strength dependent length scale. This {\it break-up length scale} LbL_b scales exponentially with the squared random field, exp(A/Δ2)\exp(A/\Delta^2). By adding an external field HH we then study the susceptibility in the ground state. If L>LbL>L_b, domains melt continuously and the magnetization has a smooth behavior, independent of system size, and the susceptibility decays as L2L^{-2}. We define a random field strength dependent critical external field value ±Hc(Δ)\pm H_c(\Delta), for the up and down spins to form a percolation type of spanning cluster. The percolation transition is in the standard short-range correlated percolation universality class. The mass of the spanning cluster increases with decreasing Δ\Delta and the critical external field approaches zero for vanishing random field strength, implying the critical field scaling (for Gaussian disorder) Hc(ΔΔc)δH_c \sim (\Delta -\Delta_c)^\delta, where Δc=1.65±0.05\Delta_c = 1.65 \pm 0.05 and δ=2.05±0.10\delta=2.05\pm 0.10. Below Δc\Delta_c the systems should percolate even when H=0. This implies that even for H=0 above LbL_b the domains can be fractal at low random fields, such that the largest domain spans the system at low random field strength values and its mass has the fractal dimension of standard percolation Df=91/48D_f = 91/48. The structure of the spanning clusters is studied by defining {\it red clusters}, in analogy to the ``red sites'' of ordinary site-percolation. The size of red clusters defines an extra length scale, independent of LL.Comment: 17 pages, 28 figures, accepted for publication in Phys. Rev.

    Finite temperature effects on cosmological baryon diffusion and inhomogeneous Big-Bang nucleosynthesis

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    We have studied finite temperature corrections to the baryon transport cross sections and diffusion coefficients. These corrections are based upon the recently computed renormalized electron mass and the modified state density due to the background thermal bath in the early universe. It is found that the optimum nucleosynthesis yields computed using our diffusion coefficients shift to longer distance scales by a factor of about 3. We also find that the minimum value of 4He^4 He abundance decreases by ΔYp0.01\Delta Y_p \simeq 0.01 while DD and 7Li^7 Li increase. Effects of these results on constraints from primordial nucleosynthesis are discussed. In particular, we find that a large baryonic contribution to the closure density (\Omega_b h_{50}^{2} \lsim 0.4) may be allowed in inhomogeneous models corrected for finite temperature.Comment: 7 pages, 6 figures, submitted to Phys. Rev.
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