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Results 31 - 40
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533
Dynamical Mass Generation in Landau gauge QCD ∗
, 2004
"... We summarise results on the infrared behaviour of Landau gauge QCD from the Green’s functions approach and lattice calculations. Approximate, nonperturbative solutions for the ghost, gluon and quark propagators as well as first results for the quark-gluon vertex from a coupled set of Dyson-Schwinger ..."
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We summarise results on the infrared behaviour of Landau gauge QCD from the Green’s functions approach and lattice calculations. Approximate, nonperturbative solutions for the ghost, gluon and quark propagators as well as first results for the quark-gluon vertex from a coupled set of Dyson-Schwinger equations are compared to quenched and unquenched lattice results. Almost quantitative agreement is found for all three propagators. Similar effects of unquenching are found in both approaches. The dynamically generated quark masses are close to ‘phenomenological ’ values. First results for the quark-gluon vertex indicate a complex tensor structure of the non-perturbative quark-gluon interaction. 1.
UNITU-THEP-2/1998 FAU-TP3-98/1 Solving the Gluon Dyson–Schwinger Equation in the Mandelstam Approximation
, 1998
"... Truncated Dyson–Schwinger equations represent finite subsets of the equations of motion for Green’s functions. Solutions to these non–linear integral equations can account for non–perturbative correlations. We describe the solution to the Dyson– Schwinger equation for the gluon propagator of Landau ..."
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Truncated Dyson–Schwinger equations represent finite subsets of the equations of motion for Green’s functions. Solutions to these non–linear integral equations can account for non–perturbative correlations. We describe the solution to the Dyson– Schwinger equation for the gluon propagator of Landau gauge QCD in the Mandelstam approximation. This involves a combination of numerical and analytic methods: An asymptotic infrared expansion of the solution is calculated recursively. In the ultraviolet, the problem reduces to an analytically solvable differential equation. The iterative solution is then obtained numerically by matching it to the analytic results at appropriate points. Matching point independence is obtained for sufficiently wide ranges. The solution is used to extract a non–perturbative β–function. The scaling behavior is in good agreement with perturbative QCD. No further fixed point for positive values of the coupling is found which thus increases without bound in the infrared. The non–perurbative result implies an infrared singular quark interaction relating the scale Λ of the subtraction scheme to the string tension σ.
1Non-Invertible Gabor Transforms
"... Time-frequency analysis, such as the Gabor transform, plays an important role in many signal processing applications. The redundancy of such representations is often directly related to the computational load of any algorithm operating in the transform domain. To reduce complexity, it may be desirab ..."
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the same Gabor representation as the input signal. The second, is based on the minimization of a worst-case error criterion. Last, we develop a recovery technique based on the assumption that the input signal lies in some subspace of L2. We show that for each of the criteria, the manipulation
2
"... A wide range of multifield inflationary models generate non-Gaussian initial conditions in which the initial adiabatic fluctuation is of the form (ζG + gNLζ 3 G). We study halo clustering in these models using two different analytic methods: the peak-background split framework, and brute force calcu ..."
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properties of a tracer population, and argue that constraints obtained from populations whose observed bias is ∼< 2.5 are generally not robust to uncertainties in modeling the halo occupation distribution of the population. ar
Results 31 - 40
of
533
