Accioly, Antonio Jose [UNESP]Aldrovandi, R.Novaes, Sérgio Ferraz [UNESP]Spehler, D.Mukai, H.2014-05-202014-05-201997-01-01Progress of Theoretical Physics. Kyoto: Kyoto Univ, v. 97, n. 1, p. 121-128, 1997.0033-068Xhttp://hdl.handle.net/11449/34552Using 2-body trees on a flat space background, it is shown that the actions A[g,phi]=integral d(4)x root-g [(R/2 kappa)+(1/2)(g(mu nu)partial derivative(mu)phi partial derivative(mu)phi+lambda R phi(2))] and (A) over bar[(g) over bar,<(phi)over bar>]=integral d(4)x root-(g) over bar[((R) over bar/2 kappa)+(1/2)(g) over bar(mu nu)partial derivative(mu)<(phi)over bar>partial derivative(nu)phi] 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 lambda=-1/6 (conformal coupling).121-128engArtigo10.1143/PTP.97.121WOS:A1997WH58200007Acesso restrito