345 citations · 888 across the 60 of their papers we have counts for
60 papers
Gauge-invariant models of interacting fields with spins 3,1 and 0
P. M. Lavrov
New local gauge-invariant models of interacting fields with spins 3, 1 and 0 are found. The construction of the models is completely based on the new approach to the deformation pr…
Ideals generated by traces in the symplectic reflection algebra . II
I. A. Batalin, S. E. Konstein, I. V. Tyutin
The associative algebra of symplectic reflections based on the group generated by the root system has two parameters, and $ν_…
Ideals generated by traces or by supertraces in the symplectic reflection algebra II
I. A. Batalin, S. E. Konstein, I. V. Tyutin
The algebra of observables of the Calogero model based on the root system has an -dimensional space of traces and an -dimens…
Anticanonical transformations and Grand Jacobian
I. A. Batalin, P. M. Lavrov, I. V. Tyutin
An independent (purely algebraic) proof of factorization property of the Grand Jacobian corresponding to anticanonical transformations in the BV-formalism is given.
Connection between the ideals generated by traces and by supertraces in the superalgebras of observables of Calogero models
S. E. Konstein, I. V. Tyutin
If is a finite Coxeter group, then symplectic reflection algebra has Lie algebra of inner derivations and can be decomposed under spin: $H=H_…
Multiplicative renormalizability of Yang-Mills theory with the background field method in the BV-formalism
Igor A. Batalin, Klaus Bering, Peter M. Lavrov +1
Studying the gauge-invariant renormalizability of four-dimensional Yang-Mills theory using the background field method and the BV-formalism, we derive a classical master-equation h…