Towards the higher point holographic momentum space amplitudes

In this paper, we calculate higher point tree level vector amplitudes propagating in AdS$_4$. We use bulk perturbation theory to compute tree level Witten diagrams. We show that when these amplitudes are written in momentum space, they reduce to relatively simple expressions. We explicitly compute four and five point correlators and also sketch a general strategy to compute the full six-point correlators.Comment: 20 pages, 6 figures, minor typos corrected, journal versio

New relation for AdS amplitudes

In this paper, we present a simple and iterative algorithm that computes Anti-de Sitter space scattering amplitudes. We focus on the vector correlators in AdS in four dimensions in momentum space. These new combinatorial relations will allow one to generate tree level amplitudes algebraically, without having to do any explicit bulk integrations; hence, leading to a simple method of calculating higher point vector amplitudes.Comment: 8 pages, 4 figures; journal versio

Towards the higher point holographic momentum space amplitudes. Part II. Gravitons

In this follow up paper, we calculate higher point tree level graviton Witten diagrams in AdS₄ via bulk perturbation theory. We show that by rearranging the bulk to bulk graviton propagators, the calculations effectively reduce to the computation of a scalar factor. Analogous to the amplitudes for vector boson interactions we computed in the previous paper, scalar factors for the graviton exchange diagrams also become relatively simple when written in momentum space. We explicitly calculate higher point correlators and discuss how this momentum space formalism makes flat space and collinear limits simpler

Selection of calculation methods for the analysis of absorbed depth-dose distributions of electron beams

The work is dedicated to comparison methods of processing the results of measurements of the absorbed depth-dose distributions (DDD) of the electron radiation to determine the practical range of electrons. The sets of test data were obtained by modeling the DDD with use Monte Carlo method. The accuracy of the calculation method is determined by the mean square error of processing results the sets of test data. In the paper it was performed the comparison of computational methods of processing the measurement results that differs in the sizes of the array of data being processed and types of functions which use for approximation the data. Comparison the accuracy methods is base for the recommendations on the selection of computational methods for determining the practical range of electrons for computational dosimetry of electron radiation