350 citations · 468 across the 7 of their papers we have counts for
7 papers
Separation of scattering and selfaction revisited
L. D. Faddeev
The definition of scattering operator in Quantum Field Theory is critically reconsidered. The correct treatment of one-particle states is connected with separation of selfaction fr…
3+1 decomposition in the new action for the Einstein Theory of Gravitation
L. D. Faddeev
The action of recently proposed formulation of Einstein Theory of Gravitation is written according to 3+1 decomposition of the space-time variables. The result coincides with known…
New variables for the Einstein theory of gravitation
L. D. Faddeev
The set of 10 covariant vector fields is taken as basic variables to describe the gravitational field. Metric is a composite field. A possibility for the gravitational c…
New action for the Hilbert-Einstein equations
L. D. Faddeev
The Hilbert-Einstein equations are derived in the formalism employing the imbedding of the space-time into linear 10-dimensional space. An extra antisymmetric tensor field is neede…
Strongly Coupled Quantum Discrete Liouville Theory. II: Geometric Interpretation of the Evolution Operator
L. D. Faddeev, R. M. Kashaev
It is shown that the N-th power of the light-cone evolution operator of 2N-periodic quantum discrete Liouville model can be identified with the Dehn twist operator in quantum Teich…
Generalized Bethe Ansatz Equations for Hofstadter Problem
L. D. Faddeev, R. M. Kashaev
The problem of diagonalization of the quantum mechanical Hamiltonian, governing dynamics of an electron on a two-dimensional triangular or square lattice in external uniform magnet…
Quantum Dilogarithm
L. D. Faddeev, R. M. Kashaev
A quantum generalization of Rogers' five term, or ``pentagon'' dilogarithm identity is suggested. It is shown that the classical limit gives usual Rogers' identity. The case where…