Igor Tyutin

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Igor Tyutin is affiliated with the following schools: Moscow Institute of Physics and Technology, Moscow State University, Tomsk State Pedagogical University

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Igor Tyutin

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Igor Tyutin's Degrees

PhD Physics Moscow State University
Masters Physics Moscow State University
Bachelors Physics Moscow State University

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According to Wikipedia, Igor Viktorovich Tyutin is a Russian theoretical physicist, who works on quantum field theory. Tyutin is a professor at the Lebedev Institute in Moscow. In an unpublished Lebedev Institute report, he developed the BRST formalism around 1975 in Russia in parallel to and independently of the work of Carlo Becchi, Alain Rouet, and Raymond Stora in France. The BRST formalism is a method for quantization of fields with constraints such as gauge invariance. In quantum field theory, the procedure is of fundamental importance for attempts at constructing string field theories. In 2009 Tyutin received the Dannie Heineman Prize for Mathematical Physics with Carlo Becchi, Alain Rouet, and Raymond Stora.

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Igor Tyutin's Published Works

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Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism (2008) (433)
EXISTENCE THEOREM FOR THE EFFECTIVE GAUGE ALGEBRA IN THE GENERALIZED CANONICAL FORMALISM WITH ABELIAN CONVERSION OF SECOND-CLASS CONSTRAINTS (1991) (191)
Self-adjoint Extensions in Quantum Mechanics (2012) (122)
Covariant quantization of gauge theories in the framework of extended BRST symmetry (1990) (119)
S Matrix for Yang-Mills and Gravitational Fields (1970) (99)
An Sp(2)‐covariant quantization of gauge theories with linearly dependent generators (1991) (89)
ONE LOOP FINITENESS OF QUANTUM GRAVITY OFF MASS SHELL (1978) (88)
Formulation of gauge theories of general form. I (1982) (82)
Canonical transformations and the gauge dependence in general gauge theories (1982) (81)
The Dirac Hamiltonian with a superstrong Coulomb field (2006) (79)
Extended BRST quantization of gauge theories in the generalized canonical formalism (1990) (75)
Remarks on the Sp(2)‐covariant Lagrangian quantization of gauge theories (1991) (72)
The Equivalence theorem and gauge invariance in renormalizable theories (1972) (71)
Lagrangian formulation of irreducible massive fields of arbitrary spin in (2+1) dimensions (1997) (51)
Self-adjoint extensions and spectral analysis in the Calogero problem (2009) (50)
On Possible Generalizations of Field-Antifield Formalism (1992) (47)
An Sp(2)‐covariant version of generalized canonical quantization of dynamical systems with linearly dependent constraints (1990) (45)
Once again on the equivalence theorem (2000) (35)
Self-adjoint differential operators associated with self-adjoint differential expressions (2006) (34)
Formulation of gauge theories of general form. II. Gauge-invariant renormalizability and renormalization structure (1982) (33)
Hyper-Kähler sigma models in extended superspace (1987) (32)
Canonical quantization of a special class of gauge theories (1986) (30)
Classical and quantum mechanics of relativistic particles (1990) (29)
Reparametrization Invariance as Gauge Symmetry (1998) (27)
Hamilton formulation of a theory with high derivatives (1983) (26)
ON THE MULTILEVEL GENERALIZATION OF THE FIELD-ANTIFIELD FORMALISM (1993) (24)
Cohomologies of the Poisson superalgebra (2003) (24)
A systematic study of finite BRST-BV transformations in field–antifield formalism (2014) (23)
FEYNMAN RULES FOR THE MASSLESS YANG--MILLS FIELD RENORMALIZABILITY OF THE THEORY OF THE MASSIVE YANG--MILLS FIELD. (1969) (22)
Renormalizable theory of massive vector particles (1974) (22)
Quantum geometry of symbols and operators (1990) (21)
SYMMETRIES AND PHYSICAL FUNCTIONS IN GENERAL GAUGE THEORY (2005) (20)
Finite anticanonical transformations in field–antifield formalism (2015) (19)
ON THE UNIQUE EFFECTIVE ACTION IN FIELD THEORY (1988) (19)
A systematic study of finite BRST-BFV transformations in generalized Hamiltonian formalism (2014) (17)
On the Multilevel Field-Antifield Formalism with the Most General Lagrangian Hypergauges (1994) (17)
Gauge invariance of spontaneously broken non-Abelian theories in the Bogolyubov-Parasyuk-Hepp-Zimmermann method (1976) (17)
Multiplicative renormalization of Yang–Mills theories in the background-field formalism (2018) (17)
An infinite algebra of quantum Dirac brackets (1992) (16)
Generating functional for the vertex functions in Yang-Mills theories (1981) (16)
Split involution and second class constraints (1992) (16)
BRST-Invariant Algebra of Constraints in Terms of Commutators and Quantum Antibrackets (2003) (16)
Constructing quantum observables and self-adjoint extensions of symmetric operators. I (2007) (16)
Electronic structure of super heavy atoms revisited (2013) (14)
Hamiltonization of theories with degenerate coordinates (2002) (14)
Constructing quantum observables and self-adjoint extensions of symmetric operators. III. Self-adjoint boundary conditions (2008) (13)
Electron scattering by a solenoid (2008) (13)
General form of the deformation of the Poisson superbracket (2004) (13)
A systematic study of finite BRST-BFV transformations in $Sp(2)$-extended generalized Hamiltonian formalism (2014) (12)
Self-adjoint Schrodinger and Dirac operators with Aharonov-Bohm and magnetic-solenoid fields (2009) (12)
Constructing quantum observables and self-adjoint extensions of symmetric operators. II. Differential operators (2007) (12)
A systematic study of finite field-dependent BRST-BV transformations in Sp(2) extended field–antifield formalism (2014) (11)
Self-adjoint extensions and spectral analysis in the generalized Kratzer problem (2010) (11)
Gauge dependence and multiplicative renormalization of Yang–Mills theory with matter fields (2019) (11)
General Form of the *-Commutator on the Grassmann Algebra (2001) (11)
QUANTIZATION OF MASSIVE GRAVITATION. (1972) (11)
Canonical structure of symmetry transformations in classical mechanics: Degenerate theories (1999) (9)
Renormalization of Two-dimensional Chiral Theories. (In Russian) (1981) (9)
Deformations and central extensions of the antibracket superalgebra (2008) (9)
RENORMALIZATION OF SUPERGAUGE THEORIES WITH NONEXTENDED SUPERSYMMETRY. (IN RUSSIAN) (1983) (9)
General Form of the *-Product on the Grassmann Algebra (2001) (8)
Gauge theories of general form (1982) (8)
ON THE PERTURBATIVE EQUIVALENCE BETWEEN THE HAMILTONIAN AND LAGRANGIAN QUANTIZATIONS (1995) (7)
Decomposition of a N=2 extended scalar superfield into irreducible supersymmetry representations (1984) (7)
Pseudoclassical description of higher spins in $2+1$ dimensions (1997) (7)
Quantization of pseudoclassical model of spin one relativistic particle. (1994) (7)
Multiplicative renormalization of two-dimensional chiral theories. I (1986) (7)
Split involution coupled to actual gauge symmetry (1994) (7)
ON LOCAL QUANTUM DEFORMATIONS OF ANTISYMPLECTIC DIFFERENTIAL (1994) (7)
General solution to the associativity equation in the Euclidean phase space (1993) (6)
General quadratic gauge theory: constraint structure, symmetries and physical functions (2004) (6)
Existence Theorem for Split Involution Constraint Algebra (2000) (6)
Traces on the Algebra of Observables of the Rational CalogeroModel Based on the Root System (2012) (6)
BRST operator and an open gauge algebra (1986) (5)
The number of independent traces and supertraces on symplectic reflection algebras (2014) (5)
General solution to the quantum master equation in the finite-dimensional case (1998) (5)
Local variational differential operators in field theory (1999) (5)
Reviews of Topical Problems: Induced Radiative Processes in Quantum and Classical Theories (1963) (5)
Deformations of the central extension of the Poisson superalgebra (2005) (5)
Renormalization of supergauge theories with unextended supersymmetry (1983) (5)
Oscillator representations for self-adjoint Calogero Hamiltonians (2011) (5)
Equivalence of lagrangian and hamiltonian BRST quantizations: the general case (1992) (5)
Cohomology of the Poisson Superalgebra on Spaces of Superdimension (2, n−) (2004) (5)
ON THE TRANSFORMATIONS OF HAMILTONIAN GAUGE ALGEBRA UNDER ROTATIONS OF CONSTRAINTS (2003) (5)
Non-point transformations in constrained theories (1990) (5)
Gauge invariance of (2+1)-dimensional QED (1998) (5)
On the Equivalence of Dual Theories (1996) (5)
Charge conjugation of non-Abelian gauge fields (1982) (5)
Symmetries of dynamically equivalent theories (2005) (5)
Deformations of the antibracket (2005) (5)
The deformations of antibracket with even and odd deformation parameters (2010) (5)
Canonical quantization of the Yang-Mills Lagrangian with higher derivatives (1985) (5)
Effective actions in quantum gravity theories (1987) (4)
Finite BRST-BFV transformations for dynamical systems with second-class constraints (2015) (4)
Jacobi-type identities in algebras and superalgebras (2013) (4)
Symmetry generators in singular theories (1989) (4)
Lagrange Quantization of Gauge Theories and Unitarity of the Physical S Matrix. (In Russian) (1989) (4)
Schrödinger and Dirac operators with the Aharonov–Bohm and magnetic-solenoid fields (2012) (4)
General form of the deformation of the Poisson superbracket on a (2, n)-dimensional superspace (2008) (4)
Renormalization of gauge theories in nonlinear gauges (1981) (4)
Connection between the ideals generated by traces and by supertraces in the superalgebras of observables of Calogero models (2019) (4)
The general form of the star-product on the Grassman algebra (2001) (4)
Free One-Dimensional Particle on an Interval (2012) (3)
Finite anticanonical transformations in field–antifield formalism (2015) (3)
About dual one-dimensional oscillator and Coulomb-like theories (2010) (3)
About dual two-dimensional oscillator and Coulomb-like theories on a plane (2011) (3)
The deformations of nondegenerate constant Poisson bracket with even and odd deformation parameters (2010) (3)
Gauge Invariance of QED$_{2+1}$ (1997) (3)
Ideals generated by traces or by supertraces in the symplectic reflection algebra H1,ν (I2(2m + 1)) (2016) (3)
IDEALS GENERATED BY TRACES IN THE ALGEBRA OF SYMPLECTIC REFLECTIONS H 1 ,ν 1 ,ν 2 ( I 2 (2 m )) (2016) (3)
Generalized oscillator representations for Calogero Hamiltonians (2012) (3)
Multiplicative renormalization of Yang–Mills theories in the background-field formalism (2018) (3)
Unified algebra of constraints (1993) (3)
Equivalence of Lagrangian and HamiltonianSp(2)-symmetric BRST quantizations (1997) (3)
Canonical quantization of singular theories (1983) (3)
Deformations of the antibracket with Grassmann-valued deformation parameters (2015) (2)
Isomorphism between oscillator and Coulomb-like theories in one and two dimensions (2013) (2)
Large Oscillator representations for self-adjoint Calogero Hamiltonians (2009) (2)
Constraint Reorganization Consistent with the Dirac Procedure (2001) (2)
Canonical form of Euler-Lagrange equations and gauge symmetries (2002) (2)
Transition to special canonical coordinates for systems with constraints (1983) (2)
Renormalization of the background functional in non-Abelian gauge theories (1978) (2)
Traces and Supertraces on Symplectic Reflection Algebras (2019) (2)
Erratum: Covariant quantization of gauge theories in the framework of extended BRST symmetry [J. Math. Phys. 31, 1487 (1990)] (1991) (2)
Electronic Structure of Superheavy Atoms. Revisited (2011) (2)
Lagrangian formulation of a general Hamiltonian theory with constraints (1986) (2)
Ideals generated by traces in the algebra of symplectic reflections $${H_{1,{v_{1,}}{v_2}}}\left( {{I_2}\left( {2m} \right)} \right)$$ (2016) (2)
Symmetry preserving self-adjoint extensions of Schr\"odinger operators with singular potentials (2010) (2)
The number of independent Traces and Supertraces on the Symplectic Reflection Algebra H1, η (Γ SN) (2018) (2)
Renormalization group equation for composite fields (1977) (2)
A Pseudo-classical Model of a Weyl Particle and Quantization of Classical Constants (2002) (2)
Anticanonical Transformations and Grand Jacobian (2020) (2)
ERRATA: ON THE EQUIVALENCE OF DUAL THEORIES (1996) (1)
The geometrical structure of chiral theories (1984) (1)
Lorentz-invariant renormalizability of an Abelian gauge theory (1981) (1)
Equivalence theorem and gauge invariance in renormalized theories. (1973) (1)
The number of independent Traces and Supertraces on the Symplectic Reflection Algebra $H_{1,\nu}(\Gamma \wr S_N)$ (2017) (1)
Renormalizations in quantum statistics (1981) (1)
Renormalization and conservation of a new ghost number in the Sp(2) formalism (1997) (1)
New finite model in d = 2 (1984) (1)
Pseudoclassical theory of Majorana-Weyl particle (1995) (1)
Cohomologies of the Poisson superalgebra on ( 2 , n )-superdimensional spaces (2004) (1)
Symmetry properties of renormalized theories (1985) (1)
New nonlinear σ-model with N=4 extended supersymmetry (1987) (1)
Space-time locality in theSp(2)-symmetric Lagrangian formalism (1998) (1)
Renormalization of General Gauge Theories (1984) (1)
Multiplicative Renormalizability of Yang-Mills Theory with the Background Field Method in the BV Formalism (2019) (1)
In memory of Efim Samoilovich Fradkin (1999) (1)
1/N expansion in U(N)×U(k)-invariant N×k matrix chiral models (D=2, 3) (1988) (1)
Structure of renormalizations in gauge theories (1981) (1)
Pseudoclassical supersymmetrical model for 2+1 dirac particle (1996) (1)
Quantization of Singular Theories with Higher Derivatives and Theories with Time-Dependent Constraints (1990) (1)
Dirac Operator with Coulomb Field (2012) (1)
Renormalization of Einsteinian gravitation (1981) (1)
Pseudoclassical theories of majorana, weyl, and majorana-weyl particles (1996) (1)
Higher-order derivatives in the interaction (1985) (1)
The Structure of the Classical Singular Theory (1990) (1)
Effective action in gauge theories of a general form (1985) (1)
Vladimir Ivanovich Ritus (on his seventieth birthday) (1997) (0)
THE ADEMOLLO-GATTO THEOREM FOR AN ARBITRARY SU(3) REPRESENTATION (1965) (0)
Cohomology of antiPoisson superalgebra (2005) (0)
A note on the Jacobi identity (2013) (0)
In memory of Vladimir Yakovlevich Fainberg (2011) (0)
Renormalizability of an Abelian supergauge theory in the Wess-Zumino gauge (1981) (0)
Comparison of O- and C-models on pseudosphere (2016) (0)
The structure of unphysical fields in spontaneously broken gauge theories (1976) (0)
A One-Dimensional Particle in a Potential Field (2012) (0)
On the equivalence between the unified and standard versions of constraint dynamics (1993) (0)
Schrödinger Operators with Exactly Solvable Potentials (2012) (0)
Cohomologies of superalgebra of pointwise superproduct (2007) (0)
Decomposition of N-extended two-dimensional scalar superfield (1988) (0)
Multiplicative renormalizability of Yang-Mills theories (1982) (0)
Finite N = 4 supersymmetric model in two dimensions (1985) (0)
Recollections on Felix Alexandrovich Berezin --- the founder of supermathematics, (compiled by E.G Karpel and R.A Minlos) (2009) (0)
Multiplicative renormalizability of Abelian supergauge theory in the Wess-Zumino gauge (1981) (0)
Linear Operators in Hilbert Spaces (2012) (0)
Generalized oscillator representations for generalized Calogero Hamiltonians (2013) (0)
ERRATA: SPLIT INVOLUTION AND SECOND CLASS CONSTRAINTS (1992) (0)
A ug 2 00 6 Dirac Hamiltonian with superstrong Coulomb field (2008) (0)
Gauge Invariance of QED2+1 (1998) (0)
Reduction of Euler-Lagrange Equations in Gauge Theories (2003) (0)
EFFECT OF MASS SPLITTING WITHIN THE BARYON OCTET ON BB SCATTERING (1965) (0)
Jacobi-type identities in algebras and superalgebras (2014) (0)
INELASTIC SCATTERING OF NEUTRINOS BY DEUTERONS (1964) (0)
Ideals generated by traces in the symplectic reflection algebra $H_{1,\nu_1, \nu_2}(I_2(2m))$. II (2021) (0)
Hochschild cohomologies and deformations of the pointwise superproduct (2009) (0)
Canonical Quantization of Physical Field Theories (1990) (0)
Theory of neutral gauge field with spontaneous symmetry breakdown (1972) (0)
S-MATRIX FOR GAUGE-INVARIANT FIELDS. (1970) (0)
Isomorphism between oscillator and Coulomb-like theories in one and two dimensions (2013) (0)
Model of asymptotically free massive particles (1975) (0)
Announces Spring 2009 Prize and Award Recipients 2009 PRIZES , AWARDS AND DISSERTATIONS Will Allis Prize for the Study of Ionized Gases NEXT PRIZE AWARDED IN 2010 (2009) (0)
Deformations of the nondegenerate constant Poisson bracket and antibracket on superspaces of an arbitrary superdimension (2008) (0)
Vladimir Ivanovich Ritus (on his eightieth birthday) (2007) (0)
Space of states in operator BFV formalism (1993) (0)
Gauge invariance of QED in (2+1)-dimensions (1997) (0)
Symmetry properties of renormalized theories with a symmetrical classical action (1983) (0)
Gauge invariance of equations of the renormalization group (1964) (0)
ON ANOMALIES IN THE WARD IDENTITIES (1982) (0)
Spectral Analysis of Self-adjoint Operators (2012) (0)
Multiplicative renormalization of two-dimensional chiral theories. II (1987) (0)
Pseudoclassical theory of Mayorana--Weyl particle (1995) (0)
Erratum to: Traces and Supertraces on Symplectic Reflection Algebras (2019) (0)
Igor Viktorovich Tyutin (2016) (0)
3 2 Cohomology of the antiPoisson superalgebras ( Results ) (2022) (0)
Cohomologies of the Poisson Superalgebra [Erratum] (2005) (0)
Solution of the Thirring model in the canonical framework (1970) (0)
Generalized oscillator representations for generalized Calogero Hamiltonians (2014) (0)
Gauge theories without Faddeev--Popov ghosts (1982) (0)
Renormalization of N = 4 supergauge theory (1982) (0)
Stability of a quantum field theory and the asymptotic behavior of the effective scalar coupling constants (1976) (0)
Erratum to: Traces and Supertraces on Symplectic Reflection Algebras (2019) (0)
Geometry of Constrained Dynamical Systems: Generalized canonical quantization of gauge theories with polarized second–class constraints (1995) (0)
Extra Goldstones in gauge theory with spontaneous breaking (1973) (0)
Canonical formalism of gauge theories with reducible constraints (1985) (0)
Two-Dimensional Field Reduction of the General Theory of Relativity (2019) (0)
Remark to the Comment on "New pseudoclassical model for Weyl particles" (1996) (0)
Asymptotically free two-dimensional chiral models (1985) (0)
Equations of motion in asymptotically free theories (1978) (0)
Gauge Theories of Special Form (1990) (0)
FIAN/TD/00-01 Once again on the equivalence theorem. I.V.Tyutin ∗ (2000) (0)
FORMULATION OF QUANTUM ELECTRODYNAMICS WITHOUT DIVERGENCES. (1970) (0)
The general form of the *-commutator on the Grassman algebra (2001) (0)
BARYON-BARYON SCATTERING AT LOW ENERGY AND THE SU(6) SYMMETRY (1965) (0)
Self-adjoint differential operators assosiated with self-adjoint differential equations (2006) (0)
Loop approximation and spontaneous symmetry breaking (1974) (0)
Two-Dimensional Field Reduction of the General Theory of Relativity (2019) (0)
Multiplicative Renormalizability of Yang-Mills Theory with the Background Field Method in the BV Formalism (2020) (0)
About dual two-dimensional oscillator and Coulomb-like theories on pseudosphere (2011) (0)
Anomalous properties of vector currents in exactly solvable field theory models (1970) (0)
Vladimir Ivanovich Ritus (on his 90th birthday) (2017) (0)
Basics of the Theory of Self-adjoint Extensions of Symmetric Operators (2012) (0)
Renormalization of R/sup 2/ gravity (1984) (0)
THEORY OF YANG--MILLS FIELDS. (1971) (0)
Traces and Supertraces on Symplectic Reflection Algebras (2019) (0)
Deformations of the antibracket with Grassmann-valued deformation parameters (2015) (0)
Lagrangian Quantization of Gauge Theories (1990) (0)
Potential in N = 2 supergravity with tensor matter (1986) (0)

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