Built on

S. Weinberg, Ultraviolet divergences in quantum theories of gravitation, in An Einstein centenary survey
1979
Earlier work this paper cites.

Similar

See for example G. ’t Hooft and M. Veltman, One-loop divergences in the theory of gravitation, Ann. Inst. Poincaré, 20 (1974) 69; M.H. Goroff and A. Sagnotti, The ultraviolet behavior of Einstein gravity, Nucl. Phys. B 266 (1986) 709; A.E.M. van de Ven, Two loop quantum gravity, Nucl. Phys. B 378 (1992) 309
1992
Cited alongside, same era.

Then

See for example, J. Zinn-Justin, Quantum field theory and critical phenomena
1992
Later among the works it cites.

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2012

A General Field-Covariant Formulation Of Quantum Field Theory

Anselmi, Damiano

Understand

In all nontrivial cases renormalization, as it is usually formulated, is not a change of integration variables in the functional integral, plus parameter redefinitions, but a set of replacements, of actions and/or field variables and parameters.

Because of this, we cannot write simple identities relating bare and renormalized generating functionals, or generating functionals before and after nonlinear changes of field variables.
In this paper we investigate this issue and work out a general field-covariant approach to quantum field theory, which allows us to treat all perturbative changes of field variables, including the relation between bare and renormalized fields, as true changes of variables in the functional integral, under which the functionals Z and W = ln Z behave as scalars.
We investigate the relation between composite fields and changes of field variables, and show that, if J are the sources coupled to the elementary fields, all changes of field variables can be expressed as J-dependent redefinitions of the sources L coupled to the composite fields.