How to explicitly calculate Feynman and Wheeler propagators in the ADS/CFT correspondence

M. C. ROCCA; A. PLASTINO

JOURNAL OF MODERN PHYSICS

SCIENTIFIC RESEARCH PUBLISHING

Lugar: Hong Kong; Año: 2020 vol. 11 p. 304 - 323

2153-1196

We discuss with, all necessary details, the boundary-bulk propagators.We do it for a scalar field, with and without mass, for both. the Feynman and the Wheeler cases. Contrary to standard procedure, we do not need here to appeal to any unfounded {f conjecture} (as done by other authors).Emphasize that we do not try to {it modify} standard ADS/CFT procedures, but use them to evaluate the corresponding Feynman and Wheeler propagators. Our present calculations are {f original} in the sense of being the first ones {it undertaken explicitly using distributions theory (DT)}. They are carried out in two instances: (i) when the boundary is a Euclidean space and (ii) when it is of Minkowskian nature. In this last case we compute also three propagators: Feynman´s, Anti-Feynman´s, and Wheeler´s (half advanced plus half retarded). For an operator corresponding to a scalar field weexplicitly obtain, for the first time ever, the two points correlations functions in the three instances above mentioned.To repeat, it is not our intention here to improve on ADS/CFT theory but only to employ it for evaluating the correspondingWheeler´s propagators