On the long standing issue of an R phi(2) coupling between gravity and a massless free scalar field

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Data

1997-01-01

Autores

Accioly, Antonio Jose [UNESP]
Aldrovandi, R. [UNESP]
Novaes, Sérgio Ferraz [UNESP]
Spehler, D. [UNESP]
Mukai, H.

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Kyoto Univ

Resumo

Using 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).

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Progress of Theoretical Physics, v. 97, n. 1, p. 121-128, 1997.