Renormalization of Einsteinian gravitation
The renormalization structure of pure Einsteinian gravitation in linear gauges is discussed in the framework of the well known hypothesis of locality concerning the form of the general solution of the Ward identities for the counter terms. It is noteworthy that the renormalization leads, in general, to a deformation of the original gauge algebra (of the general covariance transformations) which makes the algebra open and requires a corresponding generalization of the quantization procedure. It is also shown that the renormalization, which has a complicated nature off the mass shell, including a nontrivial functional redefinition of the variables, simplifies on the mass shell, i.e., for the S matrix, and acquires the usual form of the addition to the bare action of gauge-invariant counter terms and a multiplicative renormalization of the field. It is shown (in the single-loop approximation) that a felicitous choice of the gauge (here, the harmonic gauge) can also significantly simplify the structure of the renormalization off the mass shell.
- Research Organization:
- P. N. Lebedev Physics Inst., USSR Academy of Sciences
- OSTI ID:
- 5769032
- Journal Information:
- Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Vol. 33:6
- Country of Publication:
- United States
- Language:
- English
Similar Records
Study of the maximal Abelian gauge in SU(2) Euclidean Yang-Mills theory in the presence of the Gribov horizon
Renormalization of the {sigma}-{omega} model within the framework of U(1) gauge symmetry