504 citations · 1.5k across the 16 of their papers we have counts for
16 papers
Scenario for the renormalization in the 4D Yang-Mills theory
L. D. Faddeev
The renormalizability of the Yang-Mills quantum field theory in four-dimensional space-time is discussed in the background field formalism.
On the spectral theory of one functional-difference operator from conformal field theory
Ludwig D. Faddeev, Leon A. Takhtajan
In the paper we consider a functional-difference operator , where and are self-adjoint Weyl operators satisfying with and . The…
Volkov's Pentagon for the Modular Quantum Dilogarithm
L. D. Faddeev
The new form of pentagon equations suggested by Volkov for the -exponential on the basis of formal series is derived within the Hilbert space framework for the modular version…
Mass in Quantum Yang-Mills Theory
L. D. Faddeev
Among seven problems, proposed for XXI century by Clay Mathematical Institute, there are two stemming from physics. One of them is called "Yang-Mills Existence and Mass Gap". The d…
An alternative interpretation of the Weinberg-Salam model
L. Faddeev
A problem of mass generation in the Unified EM+W theory is discussed. Two hypothetical possibilities for the nature of Higgs field are proposed.
Knots as possible excitations of the quantum Yang-Mills fields
L. D. Faddeev
A hypothetical picture of massive excitations of 4-dimensional Yang-Mills quantum field theory as closed knotted fat strings is described.