Accioly, Antonio Jose [UNESP]Aldrovandi, R. [UNESP]Novaes, Sérgio Ferraz [UNESP]Spehler, D. [UNESP]Mukai, H.2014-05-272014-05-271997-01-01Progress of Theoretical Physics, v. 97, n. 1, p. 121-128, 1997.0033-068Xhttp://hdl.handle.net/11449/130567Using 2-body trees on a flat space background, it is shown that the actions A[g, φ] = (Latin small letter esh) d4x√-g [(R/2K) + (1/2)(gμν ∂μφ∂νφ + λRφ2)] and Ā[ḡ, φ̄] = (Latin small letter esh) d4x√ - ḡ [(R̄/2k) + (1/2) ḡμν∂μφ̄∂ νφ] describe the same theory at the tree-level in this case. We also demonstrate the quantum equivalence (at one-loop) of the barred and unbarred systems for λ == -1/6 (conformal coupling).121-128engArtigo10.1143/PTP.97.121WOS:A1997WH58200007Acesso restrito2-s2.0-0039176220