Igor A. Batalin
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(Suggest an Edit or Addition)Igor A. Batalin'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 Algebra and Quantization (1981) (1218)
- Quantization of Gauge Theories with Linearly Dependent Generators (1983) (1023)
- Relativistic S Matrix of Dynamical Systems with Boson and Fermion Constraints (1977) (759)
- A Generalized Canonical Formalism and Quantization of Reducible Gauge Theories (1983) (332)
- Existence theorem for gauge algebra (1985) (272)
- Operational quantization of dynamical systems subject to second class constraints (1987) (269)
- Closure of the gauge algebra, generalized lie equations and Feynman rules (1984) (246)
- EXISTENCE THEOREM FOR THE EFFECTIVE GAUGE ALGEBRA IN THE GENERALIZED CANONICAL FORMALISM WITH ABELIAN CONVERSION OF SECOND-CLASS CONSTRAINTS (1991) (191)
- Operator quantization of dynamical systems with irreducible first- and second-class constraints (1986) (169)
- Gauge theory (2001) (161)
- Feynman rules for reducible gauge theories (1983) (151)
- Erratum: Quantization of gauge theories with linearly dependent generators (1984) (142)
- Covariant quantization of gauge theories in the framework of extended BRST symmetry (1990) (119)
- Operator quantization and abelization of dynamical systems subject to first-class constraints (1986) (110)
- Operator quantization of relativistic dynamical systems subject to first class constraints (1983) (105)
- Another version for operatorial quantization of dynamical systems with irreducible constraints (1989) (101)
- An Sp(2)‐covariant quantization of gauge theories with linearly dependent generators (1991) (89)
- 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)
- Quasigroup construction and first class constraints (1981) (62)
- 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)
- Triplectic quantization: A geometrically covariant description of the Sp(2)-symmetric Lagrangian formalism (1995) (42)
- Closing and abelizing operatorial gauge algebra generated by first class constraints (1984) (40)
- Generalized canonical quantization of dynamical systems with constraints and curved phase space (1990) (36)
- Superfield algorithms for topological field theories (2001) (35)
- Star Product for Second-Class Constraint Systems from a BRST Theory (2001) (35)
- Generalized Poisson sigma models (2001) (32)
- Quantum antibrackets (1998) (32)
- Odd Scalar Curvature in Field-Antifield Formalism (2007) (31)
- Completely anticanonical form of Sp(2)-symmetric Lagrangian quantization (1995) (31)
- General quantum antibrackets (1999) (28)
- Vacuum Polarization by a Source-Free Gauge Field (1976) (28)
- Solving general gauge theories on inner product spaces (1995) (27)
- On generalized gauge fixing in the field antifield formalism (2005) (25)
- Gauge independence of the Lagrangian path integral in a higher-order formalism (1996) (24)
- Superfield Quantization (1997) (24)
- Quantum electrodynamics in external fields. I (1970) (24)
- ON THE MULTILEVEL GENERALIZATION OF THE FIELD-ANTIFIELD FORMALISM (1993) (24)
- AN Sp(2) COVARIANT FORMALISM OF A GENERALIZED CANONICAL QUANTIZATION WITH SECOND-CLASS CONSTRAINTS (1991) (23)
- A systematic study of finite BRST-BV transformations in field–antifield formalism (2014) (23)
- General triplectic quantization (1995) (21)
- Quantum geometry of symbols and operators (1990) (21)
- Dualities between Poisson brackets and antibrackets (1998) (21)
- Superfield formulation of the phase space path integral (1998) (20)
- Finite anticanonical transformations in field–antifield formalism (2015) (19)
- Odd scalar curvature in anti-Poisson geometry (2007) (18)
- Operator quantization of dynamical systems with curved phase space (1989) (17)
- Quantum field theory and quantum statistics : essays in honour of the 60th birthday of E.S. Fradkin (1987) (17)
- Multiplicative renormalization of Yang–Mills theories in the background-field formalism (2018) (17)
- 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)
- BRST-Invariant Algebra of Constraints in Terms of Commutators and Quantum Antibrackets (2003) (16)
- An infinite algebra of quantum Dirac brackets (1992) (16)
- Split involution and second class constraints (1992) (16)
- Quantization of dynamical systems subject to reducible second-class constraints (1983) (15)
- GAUGE THEORY OF SECOND-CLASS CONSTRAINTS WITHOUT EXTRA VARIABLES (2001) (14)
- Operatorial quantization of dynamical systems subject to constraints. A further study of the construction (1988) (13)
- PHOTON GREEN FUNCTION IN A STATIONARY HOMOGENEOUS FIELD OF THE MOST GENERAL FORM. (1971) (13)
- Open groups of constraints. Integrating arbitrary involutions (1998) (13)
- Second class constraints in a higher-order Lagrangian formalism (1997) (12)
- A systematic study of finite BRST-BFV transformations in $Sp(2)$-extended generalized Hamiltonian formalism (2014) (12)
- Non-Abelian conversion and quantization of nonscalar second-class constraints (2005) (12)
- Gauge independence in a higher-order Lagrangian formalism via change of variables in the path integral (2014) (12)
- A systematic study of finite field-dependent BRST-BV transformations in Sp(2) extended field–antifield formalism (2014) (11)
- Gauge dependence and multiplicative renormalization of Yang–Mills theory with matter fields (2019) (11)
- Closed description of arbitrariness in resolving quantum master equation (2016) (10)
- Unified constrained dynamics (1993) (8)
- Quantum Sp(2)-antibrackets and open groups (1998) (8)
- Formal Path Integral for Theories with Noncanonical Commutation Relations (1989) (8)
- A comparative study of Laplacians and Schrödinger– Lichnerowicz–Weitzenböck identities in Riemannian and antisymplectic geometry (2008) (7)
- ON THE PERTURBATIVE EQUIVALENCE BETWEEN THE HAMILTONIAN AND LAGRANGIAN QUANTIZATIONS (1995) (7)
- Superfield Hamiltonian quantization in terms of quantum antibrackets (2016) (7)
- A systematic study of finite BRST-BV transformations within W–X formulation of the standard and the Sp(2)-extended field–antifield formalism (2016) (7)
- Projection operator approach to general constrained systems (2001) (7)
- Split involution coupled to actual gauge symmetry (1994) (7)
- ON LOCAL QUANTUM DEFORMATIONS OF ANTISYMPLECTIC DIFFERENTIAL (1994) (7)
- Hamiltonian N = 2 superfield quantization (2003) (6)
- Quantum electrodynamics in an external constant field (1985) (6)
- General solution to the associativity equation in the Euclidean phase space (1993) (6)
- Remarks on Existence of Proper Action for Reducible Gauge Theories (2009) (6)
- ON THE TRANSFORMATIONS OF HAMILTONIAN GAUGE ALGEBRA UNDER ROTATIONS OF CONSTRAINTS (2003) (5)
- General solution to the quantum master equation in the finite-dimensional case (1998) (5)
- Finite BRST-BFV transformations for dynamical systems with second-class constraints (2015) (4)
- REPARAMETRIZATION-INVARIANT EFFECTIVE ACTION IN FIELD–ANTIFIELD FORMALISM (2012) (4)
- Path integral formulation with deformed antibracket (2010) (4)
- Quantum statistics and methods of field theory (1987) (4)
- Representation of a gauge field via intrinsic “BRST” operator (2015) (4)
- ANTISYMPLECTIC GAUGE THEORIES (1997) (4)
- Hamiltonian superfield formalism with N supercharges (2004) (4)
- Symmetries of Superparticle and Superstring Action (1987) (3)
- Open group transformations within the Sp(2)-formalism (1999) (3)
- Unified algebra of constraints (1993) (3)
- Compensating functional and quantization of relativistic constrained systems (1979) (3)
- A triplectic bi-Darboux theorem and para-hypercomplex geometry (2011) (3)
- Invariant realization of functional integration over a local gauge group (1974) (3)
- Brs quantization of generalized magnetic poles (1987) (3)
- Finite anticanonical transformations in field–antifield formalism (2015) (3)
- Multiplicative renormalization of Yang–Mills theories in the background-field formalism (2018) (3)
- Physical quantities and arbitrariness in resolving quantum master equation (2017) (2)
- Does the nontrivially deformed field-antifield formalism exist? (2015) (2)
- Anticanonical Transformations and Grand Jacobian (2020) (2)
- General conversion method for constrained systems (2018) (2)
- Erratum: Covariant quantization of gauge theories in the framework of extended BRST symmetry [J. Math. Phys. 31, 1487 (1990)] (1991) (2)
- Reducible Gauge Algebra of BRST-Invariant Constraints (2006) (2)
- Invariant functional formulation of chiral dynamics (1972) (2)
- General quantum-mechanical setting for field-antifield formalism as a hyper-gauge theory (2016) (2)
- BRST-anti-BRST symmetric conversion of second class constraints (2003) (2)
- Superfield generating equation of field–antifield formalism as a hyper-gauge theory (2017) (2)
- Extended sigma-model in nontrivially deformed field-antifield formalism (2015) (1)
- A systematic study of finite BRST-BV transformations within W–X formulation of the standard and the Sp(2)-extended field–antifield formalism (2016) (1)
- Conversion of second-class constraints and resolving the zero-curvature conditions in the geometric quantization theory (2015) (1)
- Quantization on a class of submanifolds of phase space (1985) (1)
- Quantum localization of Classical Mechanics (2016) (1)
- External Sources in Field-Antifield Formalism (2013) (1)
- Multiplicative Renormalizability of Yang-Mills Theory with the Background Field Method in the BV Formalism (2019) (1)
- Models of field theory (1987) (1)
- In memory of Efim Samoilovich Fradkin (1999) (1)
- Associativity and Operator Hamiltonian Quantization of Gauge Theories (2003) (1)
- Quantum antibrackets: polarization and parametrization (2017) (0)
- Loop approximation and spontaneous symmetry breaking (1974) (0)
- Geometry of Constrained Dynamical Systems: Generalized canonical quantization of gauge theories with polarized second–class constraints (1995) (0)
- Generalized sigma model with dynamical antisymplectic potential and non-Abelian de Rham's differential (2017) (0)
- Superstructure of the operator description of dynamical systems with first-class constraints (1985) (0)
- On the equivalence between the unified and standard versions of constraint dynamics (1993) (0)
- Operatorial quantization of dynamical systems with irreducible first and second class constraints (1987) (0)
- Multiplicative Renormalizability of Yang-Mills Theory with the Background Field Method in the BV Formalism (2020) (0)
- Göteborg ITP 99-06 May 26 , 1999 Open group transformations (1999) (0)
- On quantum-mechanical equations of motion in representation dependent of external sources (2017) (0)
- Ju n 20 03 Hamiltonian N = 2 Superfield Quantization (2008) (0)
- Göteborg ITP 98-04 Quantum antibrackets (2008) (0)
- Superfield Generating Equation of Field-Antifield Formalism (2017) (0)
- ERRATA: SPLIT INVOLUTION AND SECOND CLASS CONSTRAINTS (1992) (0)
- Space of states in operator BFV formalism (1993) (0)
- Ideals generated by traces in the symplectic reflection algebra $H_{1,\nu_1, \nu_2}(I_2(2m))$. II (2021) (0)
- Göteborg ITP 98-13 Quantum Sp ( 2 )-antibrackets and open groups (1998) (0)
- Conversion of second-class constraints and resolving the zero-curvature conditions in the geometric quantization theory (2016) (0)
- Göteborg ITP 98-13 September 30 1998 Quantum Sp ( 2 )-antibrackets and open groups (1998) (0)
- 2 1 2 M ar 2 00 2 Projection operator approach to general constrained systems (2002) (0)
- The Operator Quantization and Abelizing of Dynamical Systems with First Class Constraints (1986) (0)
- A ug 2 00 7 Odd Scalar Curvature in Field-Antifield Formalism (2008) (0)
- Superfield generating equation of field–antifield formalism as a hyper-gauge theory (2017) (0)
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