79 citations · 807 across the 61 of their papers we have counts for
61 papers
Lagrangian formulation for free infinite spin field
I. L. Buchbinder, S. A. Fedoruk, A. P. Isaev +1
We construct a Lagrangian that describes the dynamics of a six-dimensional free infinite (continuous) spin field in Minkowski space. The Lagrangian is formulated in the framew…
Generalized Wigner operators and relativistic gauge fields
I. L. Buchbinder, A. P. Isaev, M. A. Podoinitsyn +1
We introduce and study the generalized Wigner operator. By definition, such an operator transforms the Wigner wave function into a local relativistic field corresponding to an irre…
Generalization of the Bargmann-Wigner construction for infinite spin fields
I. L. Buchbinder, A. P. Isaev, M. A. Podoinitsyn +1
We develop a generalization of the Wigner scheme for constructing the relativistic fields corresponding to irreducible representations of the four-dimensional Poincaré group with i…
Ladder and zig-zag Feynman diagrams, operator formalism and conformal triangles
S. E. Derkachov, A. P. Isaev, L. A. Shumilov
We develop an operator approach to the evaluation of multiple integrals for multiloop Feynman massless diagrams. A commutative family of graph building operators for ladder d…
Split Casimir operator for simple Lie algebras in the cube of -representation and Vogel parameters
A. P. Isaev, S. O. Krivonos, A. A. Provorov
We constructed characteristic identities for the 3-split (polarized) Casimir operators of simple Lie algebras in the adjoint representations and deduced a certain cla…
Flat connection on four-dimensional lattice, related matrix difference equations and their solutions
H. Boos, A. P. Isaev
In the paper [H.Boos, A.Hutsalyuk and Kh.Nirov, J.Phys.A:Math.Theor. 51 (2018) 445202] the reduced density matrix of the sl(3)-invariant fundamental exchange model was calculated f…