Calculation of curvature vacuum correlations in R-gravity (Q5955381)

Study of the space-time, which is curved due to the gravitational field, described by a metric tensor, is of extreme significance. The authors have formulated several interesting two-point curvature vacuum correlation functions. Their leading term contributions in the \(N\)-dimensional R-gravity have been calculated one by one under the Minkowski space-time background. Dynamics, gravitation-free propagator, perturbative expansions of the curvature tensor and the parallel transport matrices and also the vacuum expectation values of leading terms of the various correlation functions have been treated. A brief discussion concludes the paper. The work has shown that the contributions of leading terms of the curvature vacuum correlation functions vanish independently of the choice of the two different expansion schemes adopted.