Configuration space based recurrence relations for sunset-type diagrams
نویسندگان
چکیده
منابع مشابه
Configuration Space Based Recurrence Relations for Sunset-Type Diagrams
We derive recurrence relations for the calculation of multiloop sunset-type diagrams with large powers of massive propagators. The technique is formulated in configuration space and exploits the explicit form of the massive propagator raised to a given power. We write down and evaluate a convenient set of basis integrals. The method is well suited for a numerical evaluation of this class of dia...
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We present a new method to investigate a class of diagrams which generalizes the sunset topology to any number of massive internal lines. Our attention is focused on the computation of the spectral density of these diagrams which is related to manybody phase space in D dimensional space-time. The spectral density is determined by the inverse K-transform of the product of propagators in configur...
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The convergence of new second-order iterative methods are analyzed in Banach spaces by introducing a system of recurrence relations. A system of a priori error bounds for that method is also provided. The methods are defined by using a constant bilinear operator A, instead of the second Fréchet derivative appearing in the defining formula of the Chebyshev method. Numerical evidence that the met...
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ژورنال
عنوان ژورنال: The European Physical Journal C
سال: 1999
ISSN: 1434-6044,1434-6052
DOI: 10.1007/s100529900191