866 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Russian Academy of SciencesRU852 papers
- St. Petersburg Department of Steklov Institute of MathematicsRU415 papers
- National Research University Higher School of EconomicsRU220 papers
- St Petersburg UniversityRU177 papers
- Lomonosov Moscow State UniversityRU174 papers
- Moscow Institute of Physics and TechnologyRU152 papers
- Centre National de la Recherche ScientifiqueFR118 papers
- Institute for Theoretical and Experimental PhysicsRU92 papers
- Skolkovo Institute of Science and TechnologyRU87 papers
- Institute for Information Transmission ProblemsRU64 papers
- National University of Science and TechnologyRU57 papers
- Russian Quantum CenterRU52 papers
19 papers · 1 filter
Generalized Pauli-Villars regularization for undoubled lattice fermions
A. A. Slavnov
A manifestly gauge invariant formulation of chiral theories with fermions on the lattice is developed. It combines SLAC lattice derivative \cite{DWY}, \cite{ACS}, \cite{S} and gene…
SO(N) invariant Wess-Zumino action and its quantization
S. A. Frolov, A. A. Slavnov, C. Sochichiu
A consistent quantization procedure of anomalous chiral models is discussed. It is based on the modification of the classical action by adding Wess-Zumino terms. The invari…
Quantum Dilogarithm as a 6j-Symbol
R. M. Kashaev
The cyclic quantum dilogarithm is interpreted as a cyclic 6j-symbol of the Weyl algebra, considered as a Borel subalgebra . Using modified 6j-symbols, an invariant of…
Canonical quantization of the degenerate WZ action including chiral interaction with gauge fields
S. A. Frolov, A. A. Slavnov, C. Sochichiu
Canonical quantization of the Wess-Zumino (WZ) model including chiral interaction with gauge field is considered for the case of a degenerate action. The two-dimensional SU(2) Yang…
Dilogarithm identities
Anatol N. Kirillov
We study the dilogarithm identities from algebraic, analytic, asymptotic, -theoretic, combinatorial and representation-theoretic points of view. We prove that a lot of dilogarit…
Equivalence of the Euclidean and Wightman Field Theories
Yu. M. Zinoviev
The new inversion formula for the Laplace transformation of the tempered distributions with supports in the closed positive semiaxis is obtained. The inverse Laplace transform of t…
A note on the path integral for systems with primary and secondary second class constraints
M. Henneaux, S. Slavnov
It is shown that the phase space path integral for a system with arbitrary second class constraints (primary, secondary ...) can be rewritten as a configuration space path integral…
Hirota equation as an example of integrable symplectic map
L. Faddeev, A. Yu. Volkov
The hamiltonian formalism is developed for the sine-Gordon model on the space-time light-like lattice, first introduced by Hirota. The evolution operator is explicitely constructed…
Collective field approach to gauged principal chiral field at large N
K. Zarembo
The lattice model of principal chiral field interacting with the gauge fields, which have no kinetic term, is considered. This model can be regarded as a strong coupling limit of l…
Quantum groups and deformed special relativity
J. A. de Azcárraga, P. P. Kulish, F. Rodenas
The structure and properties of possible -Minkowski spaces is discussed, and the corresponding non-commutative differential calculi are developed in detail and compared with alr…
High energy QCD as a completely integrable model
L. D. Faddeev, G. P. Korchemsky
We show that the one-dimensional lattice model proposed by Lipatov to describe the high energy scattering of hadrons in multicolor QCD is completely integrable. We identify this mo…
On Poisson-Lie structure on the external algebra of the classical Lie groups
G. E. Arutyunov, P. B. Medvedev
The general expression for the bicovariant bracket for odd generators of the external algebra on a Poisson-Lie group is given. It is shown that the graded Poisson-Lie structures de…
-functions in Scattering on -adic Multiloop Surfaces
L. Chekhov
We study scattering processes on -adic multiloop surfaces represented as multiloop infinite graphs with total valence in each vertex equal . They all are spaces of the cons…
Algebraic Aspects of Bethe-Ansatz
L. D. Faddeev
In these lectures the introduction to algebraic aspects of Bethe Ansatz is given. The applications to the seminal spin 1/2 XXX model is discussed in detail and the generalization t…
Completeness of Bethe's states for generalized model
Anatol N. Kirillov, Nadejda A. Liskova
We study the Bethe ansatz equations for a generalized model on a one-dimensional lattice. Assuming the string conjecture we propose an integer version for vacancy numbers and…
The zero-curvature representation for nonlinear O(3) sigma-model
A. G. Bytsko
We consider O(3) sigma-model as a reduction of the principal chiral field. This approach allows to introduce the currents with ultralocal Poisson brackets and to obtain the zero-cu…
Role of the Low-Lying Isoscalar Dipole Modes in the Polarization Potential
E. B. Balbutsev, A. V. Unzhakova, M. V. Andres +2
An analysis of the real and imaginary part of the polarization potential in terms of the relative contributions of the single collective states for the syst…
Loop Equations as a Generalized Virasoro Constraints
K. Zarembo
The loop equations in the lattice gauge theory are represented in the form of constraints imposed on a generating functional for the Wilson loop correlators. These constrain…
A new set of exact form factors
F. A. Smirnov
Some mistaken reasonings at the end of the paper omitted.