Can we measure the Rφ2 coupling parameter at tree-level scattering\?

Physics

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Quantum Gravity, Fundamental Problems And General Formalism, Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

The lowest order invariant amplitudes for the 2-->2 processes concerning the action S[g,φ]=Fd4x √-g [2R/κ2+1/2(gμν∂μφ∂νφ+λRφ2)] are computed. It is found that these results do not depend on the value of λ therefore, it is impossible to measure the Rφ2 coupling parameter at tree-level scattering in this case. It is also shown that the theory described by the above action is equivalent at the classical level to Einstein's theory with a massless minimally coupled scalar field provided that 1+λκ2φ2/4>0. Some consequences for cosmology and black holes are discussed.

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