Papers by Beatrice Paladini
The asymptotic expansion of the massive scalar field propagator on a n- dimensional lattice is de... more The asymptotic expansion of the massive scalar field propagator on a n- dimensional lattice is derived. The method used is based on the evaluation of the asymptotic expansion of the modified Bessel function I ( 2 fi) as the order grows to infinity. Key words: Lattice propagator. Asymptotic methods. Bessel function I ( 2 fi). 1 Introduction In perturbation theory, the advantage of a coordinate space description as a way of studying the divergences arising in Feynman diagrams has been discussed by many authors (e.g. [1,2]). In the continuum, the analytic expression for the scalar field propagator in position space is well-known. On the lattice, however, the standard representation for the scalar propagator involves integrals over Bessel functions and has proved to be very difficult to analyze in the continuum limit. Several attempts have been made to derive a suitable expansion for the lattice scalar propagator in the limit where the lattice spacing goes to zero. In particular, we...
Physics Letters B, 1999
The asymptotic expansion of the massive scalar field propagator on a ndimensional lattice is deri... more The asymptotic expansion of the massive scalar field propagator on a ndimensional lattice is derived. The method used is based on the evaluation of the asymptotic expansion of the modified Bessel function I ν (ν 2 β) as the order ν grows to infinity.
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Papers by Beatrice Paladini