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Referencias:

• Birrel, N.D., Davies, P.C.W., (1982) Quantum Fields in Curved Space, , (Cambridge, U.P., London)
• Castagnino, M., (1981) Ann. Inst. H. Poincaré, 35, p. 55
• Ceccatto, H., Foussats, A., Giacomini, H., Zandron, O., (1982) J. Math. Phys., 23, p. 1865
• Loos, H.G., (1963) Nuovo Cimento, 30, p. 901
• Kugo, T., Ojima, I., (1979) Progr. Theor. Phys. Suppl., 66, p. 1
• Creutz, M., (1979) Ann. Phys. (NY), 117, p. 471
• Itzykson, C., Zuber, J.B., (1980) Quantum Field Theory, , (McGraw‐Hill, New York)
• Cattaneo, G., (1958) Nuovo Cimento, 10, p. 318. , We believe that this vector field could have a physical interpretation; it could be considered as the field of velocities of a set of infinite observers covering all space‐time. In fact, our final objective will be that the formalism removes the scalar and longitudinal photons (without physical sense) which cannot be defined in a covariant way in curved space‐time if we do not define a time direction, which we may think of as the speed of the observer at each point of the manifold. We assimilate the field of observers to an ideal referential fluid that fills the manifold, which is defined by the set of space‐time trajectories of the particles. Then, U will be the unitary vector tangent at each point of the fluid, which will be a timelike vector. We shall try to clarify this interpretation with other examples in forcoming papers
• The relativistic covariance of Eq. (6.14) will be assured by imposing, as we shall see, the Gauss law [formula omitted] Then, we shall have the equation [formula omitted] which is obviously covariant; Let us note that (6.51) has conformal consistency. In fact, because [formula omitted] is a Weyl vector of weight [formula omitted] we deduce, from (2.19), [formula omitted] and therefore the condition (6.51) is conformally invarant. Clearly, the same property holds for (6.45); When we take [formula omitted] we obtain Gauss’s law, div [formula omitted] In fact, from Eqs. (8.16), (8.20), and (8.21) it follows that [formula omitted]. Then, to impose Gauss’s law we must take the limit [formula omitted]

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