Supergravity was discovered four years ago [234,120, 235] and interest in this new theory
has been great from the beginning. However, the rapid development of the field and various …

The general solution of the anomaly consistency condition (Wess–Zumino equation) has
been found recently for Yang–Mills gauge theory. The general form of the counterterms …

Quantization of a general gauge theory in the lagrangian approach is accomplished in
closed form. The generating equation is found, containing all the relations of the open gauge …

The quantization rules for gauge theories with open algebras are generalized to the case of
linearly dependent generators. The given zero-eigenvalue eigenvectors of the generators …

In part one of Effective Action in Quantum Gravity, the book describes the principles of
quantum field theory and the significance of and theory behind effective action. Part two …

The antibracket formalism for gauge theories, at both the classical and quantum level, is
reviewed. Gauge transformations and the associated gauge structure are analyzed in detail …

The Hamiltonian form of the path integral for theories with a gauge freedom is reviewed
along the lines developed by Batalin, Fradkin and Vilkovisky. The formalism, which can be …

We establish general theorems on the cohomology H*(s/d) of the BRST differential modulo
the spacetime exterior derivative, acting in the algebra of local p-forms depending on the …

A general solution for the S-matrix of relativistic dynamical systems subject to Bose and
Fermi first and second class constraints is obtained by canonical quantization in the case of …

We investigate, in any space–time dimension⩾ 3, the problem of consistent couplings for a
(finite or infinite) collection of massless, spin-2 fields described, in the free limit, by a sum of …