19 research outputs found

    Interaction effects in the spectrum of the three-dimensional Ising model

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    The two-point correlation functions of statistical models show in general both poles and cuts in momentum space. The former correspond to the spectrum of massive excitations of the model, while the latter originate from interaction effects, namely creation and annihilation of virtual pairs of excitations. We discuss the effect of such interactions on the long distance behavior of correlation functions in configuration space, focusing on certain time-slice operators which are commonly used to extract the spectrum. For the 3D Ising model in the scaling region of the broken-symmetry phase, a one-loop calculation shows that the interaction effects on time-slice correlations is non negligible for distances up to a few times the correlation length, and should therefore be taken into account when analysing Monte Carlo data.Comment: 10 pages, LaTeX file + 1 ps figure, uses axodraw.st

    Extension to order β23\beta^{23} of the high-temperature expansions for the spin-1/2 Ising model on the simple-cubic and the body-centered-cubic lattices

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    Using a renormalized linked-cluster-expansion method, we have extended to order β23\beta^{23} the high-temperature series for the susceptibility χ\chi and the second-moment correlation length ξ\xi of the spin-1/2 Ising models on the sc and the bcc lattices. A study of these expansions yields updated direct estimates of universal parameters, such as exponents and amplitude ratios, which characterize the critical behavior of χ\chi and ξ\xi. Our best estimates for the inverse critical temperatures are βcsc=0.221654(1)\beta^{sc}_c=0.221654(1) and βcbcc=0.1573725(6)\beta^{bcc}_c=0.1573725(6). For the susceptibility exponent we get γ=1.2375(6)\gamma=1.2375(6) and for the correlation length exponent we get ν=0.6302(4)\nu=0.6302(4). The ratio of the critical amplitudes of χ\chi above and below the critical temperature is estimated to be C+/C=4.762(8)C_+/C_-=4.762(8). The analogous ratio for ξ\xi is estimated to be f+/f=1.963(8)f_+/f_-=1.963(8). For the correction-to-scaling amplitude ratio we obtain aξ+/aχ+=0.87(6)a^+_{\xi}/a^+_{\chi}=0.87(6).Comment: Misprints corrected, 8 pages, latex, no figure

    25th-order high-temperature expansion results for three-dimensional Ising-like systems on the simple cubic lattice

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    25th-order high-temperature series are computed for a general nearest-neighbor three-dimensional Ising model with arbitrary potential on the simple cubic lattice. In particular, we consider three improved potentials characterized by suppressed leading scaling corrections. Critical exponents are extracted from high-temperature series specialized to improved potentials, obtaining γ=1.2373(2)\gamma=1.2373(2), ν=0.63012(16)\nu=0.63012(16), α=0.1096(5)\alpha=0.1096(5), η=0.03639(15)\eta=0.03639(15), β=0.32653(10)\beta=0.32653(10), δ=4.7893(8)\delta=4.7893(8). Moreover, biased analyses of the 25th-order series of the standard Ising model provide the estimate Δ=0.52(3)\Delta=0.52(3) for the exponent associated with the leading scaling corrections. By the same technique, we study the small-magnetization expansion of the Helmholtz free energy. The results are then applied to the construction of parametric representations of the critical equation of state, using a systematic approach based on a global stationarity condition. Accurate estimates of several universal amplitude ratios are also presented.Comment: 40 pages, 15 figure

    Improved high-temperature expansion and critical equation of state of three-dimensional Ising-like systems

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    High-temperature series are computed for a generalized 3d3d Ising model with arbitrary potential. Two specific ``improved'' potentials (suppressing leading scaling corrections) are selected by Monte Carlo computation. Critical exponents are extracted from high-temperature series specialized to improved potentials, achieving high accuracy; our best estimates are: γ=1.2371(4)\gamma=1.2371(4), ν=0.63002(23)\nu=0.63002(23), α=0.1099(7)\alpha=0.1099(7), η=0.0364(4)\eta=0.0364(4), β=0.32648(18)\beta=0.32648(18). By the same technique, the coefficients of the small-field expansion for the effective potential (Helmholtz free energy) are computed. These results are applied to the construction of parametric representations of the critical equation of state. A systematic approximation scheme, based on a global stationarity condition, is introduced (the lowest-order approximation reproduces the linear parametric model). This scheme is used for an accurate determination of universal ratios of amplitudes. A comparison with other theoretical and experimental determinations of universal quantities is presented.Comment: 65 pages, 1 figure, revtex. New Monte Carlo data by Hasenbusch enabled us to improve the determination of the critical exponents and of the equation of state. The discussion of several topics was improved and the bibliography was update

    Three-loop critical exponents, amplitude functions, and amplitude ratios from variational perturbation theory

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    We use variational perturbation theory to calculate various universal amplitude ratios above and below T_c in minimally subtracted phi^4-theory with N components in three dimensions. In order to best exhibit the method as a powerful alternative to Borel resummation techniques, we consider only to two- and three-loops expressions where our results are analytic expressions. For the critical exponents, we also extend existing analytic expressions for two loops to three loops.Comment: Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of paper (including all PS fonts) at http://www.physik.fu-berlin.de/~kleinert/kleiner_re318/preprint.htm

    Attitudes about tuberculosis prevention in the elimination phase: a survey among physicians in Germany.

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    BACKGROUND: Targeted and stringent measures of tuberculosis prevention are necessary to achieve the goal of tuberculosis elimination in countries of low tuberculosis incidence. METHODS: We ascertained the knowledge about tuberculosis risk factors and stringency of tuberculosis prevention measures by a standardized questionnaire among physicians in Germany involved in the care of individuals from classical risk groups for tuberculosis. RESULTS: 510 physicians responded to the online survey. Among 16 risk factors immunosuppressive therapy, HIV-infection and treatment with TNF-antagonist were thought to be the most important risk factors for the development of tuberculosis in Germany. Exposure to a patient with tuberculosis ranked on the 10th position. In the event of a positive tuberculin-skin-test or interferon-γ release assay only 50%, 40%, 36% and 25% of physicians found that preventive chemotherapy was indicated for individuals undergoing tumor necrosis factor-antagonist therapy, close contacts of tuberculosis patients, HIV-infected individuals and migrants, respectively. CONCLUSIONS: A remarkably low proportion of individuals with latent infection with Mycobacterium tuberculosis belonging to classical risk groups for tuberculosis are considered candidates for preventive chemotherapy in Germany. Better knowledge about the risk for tuberculosis in different groups and more stringent and targeted preventive interventions will probably be necessary to achieve tuberculosis elimination in Germany

    Leber-Milz-Szintigraphie mit 99mTc Phytat und vergleichende Doppelmarkierung von Thrombozyten mit 99mTc Phytat und 111In Oxin

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    SIGLECopy held by FIZ Karlsruhe; available from UB/TIB Hannover / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman
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