Physics Letters B, ISSN 0370-2693, 03/2020, Volume 802, p. 135208

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 10/2019, Volume 947, p. 114735

We study the general structure of field theories with the unfree gauge symmetry where the gauge parameters are restricted by differential equations. The...

GRAVITY | PHYSICS, PARTICLES & FIELDS

GRAVITY | PHYSICS, PARTICLES & FIELDS

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 09/2018, Volume 934, pp. 634 - 652

We consider inclusion of interactions between 3 Einstein gravity and the third order extensions of Chern–Simons. Once the gravity is minimally included into...

SELF-DUALITY | HIGHER-DERIVATIVE EXTENSIONS | FORMULATION | PHYSICS, PARTICLES & FIELDS | Energy conservation | Analysis

SELF-DUALITY | HIGHER-DERIVATIVE EXTENSIONS | FORMULATION | PHYSICS, PARTICLES & FIELDS | Energy conservation | Analysis

Journal Article

The European Physical Journal C, ISSN 1434-6044, 10/2014, Volume 74, Issue 10, pp. 1 - 19

We observe that a wide class of higher-derivative systems admits a bounded integral of motion that ensures the classical stability of dynamics, while the...

Nuclear Physics, Heavy Ions, Hadrons | Measurement Science and Instrumentation | Nuclear Energy | Quantum Field Theories, String Theory | Physics | Elementary Particles, Quantum Field Theory | Astronomy, Astrophysics and Cosmology | FIELDS | HAMILTONIAN-FORMULATION | PHYSICS, PARTICLES & FIELDS | Electrodynamics | Construction | Stability | Integrals | Dynamics | Scalars | Dynamical systems | Oscillators

Nuclear Physics, Heavy Ions, Hadrons | Measurement Science and Instrumentation | Nuclear Energy | Quantum Field Theories, String Theory | Physics | Elementary Particles, Quantum Field Theory | Astronomy, Astrophysics and Cosmology | FIELDS | HAMILTONIAN-FORMULATION | PHYSICS, PARTICLES & FIELDS | Electrodynamics | Construction | Stability | Integrals | Dynamics | Scalars | Dynamical systems | Oscillators

Journal Article

The European Physical Journal C, ISSN 1434-6044, 2/2018, Volume 78, Issue 2, pp. 1 - 12

Most general third-order 3d linear gauge vector field theory is considered. The field equations involve, besides the mass, two dimensionless constant...

Nuclear Physics, Heavy Ions, Hadrons | Measurement Science and Instrumentation | Nuclear Energy | Quantum Field Theories, String Theory | Physics | Elementary Particles, Quantum Field Theory | Astronomy, Astrophysics and Cosmology | SELF-DUALITY | CONSERVATION-LAWS | QUANTIZATION | PHYSICS, PARTICLES & FIELDS | Formulations | Tensors | Field theory | Hamiltonian functions | Physics - High Energy Physics - Theory

Nuclear Physics, Heavy Ions, Hadrons | Measurement Science and Instrumentation | Nuclear Energy | Quantum Field Theories, String Theory | Physics | Elementary Particles, Quantum Field Theory | Astronomy, Astrophysics and Cosmology | SELF-DUALITY | CONSERVATION-LAWS | QUANTIZATION | PHYSICS, PARTICLES & FIELDS | Formulations | Tensors | Field theory | Hamiltonian functions | Physics - High Energy Physics - Theory

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 03/2016, Volume 49, Issue 15, p. 155204

A new method is proposed for switching on interactions that are compatible with global symmetries and conservation laws of the original free theory. The method...

inclusion of interaction | higher derivative systems | classical and quantum stability | PHYSICS, MULTIDISCIPLINARY | STABILITY | QUANTIZATION | PHYSICS, MATHEMATICAL | Physics - High Energy Physics - Theory

inclusion of interaction | higher derivative systems | classical and quantum stability | PHYSICS, MULTIDISCIPLINARY | STABILITY | QUANTIZATION | PHYSICS, MATHEMATICAL | Physics - High Energy Physics - Theory

Journal Article

7.
Full Text
Higher derivative extensions of 3d Chern–Simons models: conservation laws and stability

The European Physical Journal C, ISSN 1434-6044, 11/2015, Volume 75, Issue 11, pp. 1 - 10

We consider the class of higher derivative 3d vector field models with the field equation operator being a polynomial of the Chern–Simons operator. For the...

Nuclear Physics, Heavy Ions, Hadrons | Measurement Science and Instrumentation | Nuclear Energy | Quantum Field Theories, String Theory | Physics | Elementary Particles, Quantum Field Theory | Astronomy, Astrophysics and Cosmology | SELF-DUALITY | PHYSICS, PARTICLES & FIELDS | Environmental law | Analysis | Operators (mathematics) | Tensors | Stability | Mathematical analysis | Mathematical models | Polynomials | Derivatives | Three dimensional models | Physics - High Energy Physics - Theory | Physics and Astronomy (miscellaneous) | Engineering (miscellaneous) | тензоры | High Energy Physics - Theory | Черна-Саймонса модель трехмерная | лагранжианы

Nuclear Physics, Heavy Ions, Hadrons | Measurement Science and Instrumentation | Nuclear Energy | Quantum Field Theories, String Theory | Physics | Elementary Particles, Quantum Field Theory | Astronomy, Astrophysics and Cosmology | SELF-DUALITY | PHYSICS, PARTICLES & FIELDS | Environmental law | Analysis | Operators (mathematics) | Tensors | Stability | Mathematical analysis | Mathematical models | Polynomials | Derivatives | Three dimensional models | Physics - High Energy Physics - Theory | Physics and Astronomy (miscellaneous) | Engineering (miscellaneous) | тензоры | High Energy Physics - Theory | Черна-Саймонса модель трехмерная | лагранжианы

Journal Article

Journal of Geometry and Physics, ISSN 0393-0440, 11/2015, Volume 97, pp. 227 - 242

A simple algorithm is proposed for constructing generators of gauge symmetry as well as reducibility relations for arbitrary systems of partial differential...

Dirac–Bergmann algorithm | Reducible gauge symmetry | Consistency of interactions | Dirac-Bergmann algorithm | Algorithms

Dirac–Bergmann algorithm | Reducible gauge symmetry | Consistency of interactions | Dirac-Bergmann algorithm | Algorithms

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 1/2013, Volume 2013, Issue 1, pp. 1 - 31

Starting from the concept of involution of field equations, a universal method is proposed for constructing consistent interactions between the fields. The...

Gauge Symmetry | BRST Symmetry | BRST Quantization | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | SYSTEM | FIELDS | ARBITRARY SPIN | EQUATIONS | FREEDOM | STRENGTH | PHYSICS, PARTICLES & FIELDS | Construction | Mathematical analysis | Gages | Formalism | Gauges | Symmetry

Gauge Symmetry | BRST Symmetry | BRST Quantization | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | SYSTEM | FIELDS | ARBITRARY SPIN | EQUATIONS | FREEDOM | STRENGTH | PHYSICS, PARTICLES & FIELDS | Construction | Mathematical analysis | Gages | Formalism | Gauges | Symmetry

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 2011, Volume 2011, Issue 9

Some general theorems are established on the local BRST cohomology for not necessarily Lagrangian gauge theories. Particular attention is given to the BRST...

BRST Quantization | Global Symmetries | BRST Symmetry | Gauge Symmetry | EXISTENCE | DYNAMICAL-SYSTEMS | FORMALISM | MASSEY BRACKETS | QUANTIZATION | ANTIBRACKET | PHYSICS, PARTICLES & FIELDS

BRST Quantization | Global Symmetries | BRST Symmetry | Gauge Symmetry | EXISTENCE | DYNAMICAL-SYSTEMS | FORMALISM | MASSEY BRACKETS | QUANTIZATION | ANTIBRACKET | PHYSICS, PARTICLES & FIELDS

Journal Article

Modern Physics Letters A, ISSN 0217-7323, 10/2014, Volume 29, Issue 31, p. 1450167

It is usually assumed that any consistent interaction either deforms or retains the gauge symmetries of the corresponding free theory. We propose a simple...

reducible gauge symmetry | consistent inclusion of interactions | Noether procedure and cohomological perturbation theory | PHYSICS, NUCLEAR | PHYSICS, MATHEMATICAL | PHYSICS, PARTICLES & FIELDS

reducible gauge symmetry | consistent inclusion of interactions | Noether procedure and cohomological perturbation theory | PHYSICS, NUCLEAR | PHYSICS, MATHEMATICAL | PHYSICS, PARTICLES & FIELDS

Journal Article

RUSSIAN PHYSICS JOURNAL, ISSN 1064-8887, 05/2019, Volume 62, Issue 1, pp. 12 - 22

The constrained Hamiltonian formalism for the extended higher derivative Chern-Simons theory of an arbitrary finite order is considered. It is shown that the...

extended Chern-Simons theory | higher-derivative theories | PHYSICS, MULTIDISCIPLINARY | Hamiltonian formalism | Physics - High Energy Physics - Theory

extended Chern-Simons theory | higher-derivative theories | PHYSICS, MULTIDISCIPLINARY | Hamiltonian formalism | Physics - High Energy Physics - Theory

Journal Article

Russian Physics Journal, ISSN 1064-8887, 4/2019, Volume 61, Issue 12, pp. 2145 - 2154

A geometrical model of a massive spinning particle, whose quantization corresponds to the unitary irreducible representation of the Poincaré group, is...

Condensed Matter Physics | spinning particle | Nuclear Physics, Heavy Ions, Hadrons | Theoretical, Mathematical and Computational Physics | Optics, Lasers, Photonics, Optical Devices | spin | Physics, general | Physics | world sheet

Condensed Matter Physics | spinning particle | Nuclear Physics, Heavy Ions, Hadrons | Theoretical, Mathematical and Computational Physics | Optics, Lasers, Photonics, Optical Devices | spin | Physics, general | Physics | world sheet

Journal Article

Russian Physics Journal, ISSN 1064-8887, 03/2015, Volume 57, Issue 11, pp. 1561 - 1565

The stability of a Pais-Uhlenbeck nonlinear oscillator with higher derivatives is examined. The stability of the linear theory is demonstrated and a...

Pais–Uhlenbeck oscillator | Ostrogradsky ghost field | theories with higher derivatives | ENERGY | PHYSICS, MULTIDISCIPLINARY | Pais-Uhlenbeck oscillator

Pais–Uhlenbeck oscillator | Ostrogradsky ghost field | theories with higher derivatives | ENERGY | PHYSICS, MULTIDISCIPLINARY | Pais-Uhlenbeck oscillator

Journal Article

Journal of Geometry and Physics, ISSN 0393-0440, 12/2013, Volume 74, pp. 164 - 184

We study the groups of local BRST cohomology associated to the general systems of ordinary differential equations, not necessarily Lagrangian or Hamiltonian....

Hamiltonian structure | BRST quantization | Gauge symmetry | BRST cohomology | MATHEMATICS | COHOMOLOGY | MASSEY BRACKETS | QUANTIZATION | PHYSICS, MATHEMATICAL | ANTIFIELD FORMALISM

Hamiltonian structure | BRST quantization | Gauge symmetry | BRST cohomology | MATHEMATICS | COHOMOLOGY | MASSEY BRACKETS | QUANTIZATION | PHYSICS, MATHEMATICAL | ANTIFIELD FORMALISM

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 08/2010, Volume 51, Issue 8, pp. 082902 - 082902-22

Making use of the Lagrange anchor construction introduced earlier to quantize non-Lagrangian field theories, we extend the Noether theorem beyond the class of...

SYSTEMS | FORMALISM | CHARACTERISTIC COHOMOLOGY | QUANTIZATION | PHYSICS, MATHEMATICAL | C-SPECTRAL SEQUENCE | FIELD THEORIES | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | SYMMETRY | CALCULATION METHODS | CONSERVATION LAWS | QUANTUM FIELD THEORY | LAGRANGIAN FIELD THEORY | VARIATIONAL METHODS

SYSTEMS | FORMALISM | CHARACTERISTIC COHOMOLOGY | QUANTIZATION | PHYSICS, MATHEMATICAL | C-SPECTRAL SEQUENCE | FIELD THEORIES | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | SYMMETRY | CALCULATION METHODS | CONSERVATION LAWS | QUANTUM FIELD THEORY | LAGRANGIAN FIELD THEORY | VARIATIONAL METHODS

Journal Article

Russian Physics Journal, ISSN 1064-8887, 04/2017, Volume 59, Issue 12, pp. 2041 - 2047

It is shown that two previously developed approaches to the construction of nonlinear interactions in higher-derivative theories (Eur. Phys. J., C74 (2014); J....

Proper deformation | Stability | Theories of derivative type | Higher-derivative theories | theories of derivative type | higher-derivative theories | PHYSICS, MULTIDISCIPLINARY | proper deformation | stability

Proper deformation | Stability | Theories of derivative type | Higher-derivative theories | theories of derivative type | higher-derivative theories | PHYSICS, MULTIDISCIPLINARY | proper deformation | stability

Journal Article

Russian Physics Journal, ISSN 1064-8887, 4/2018, Volume 60, Issue 12, pp. 2095 - 2104

The problem of constructing alternative Hamiltonian formulations in the extended Chern–Simons theory with higher derivatives is considered. It is shown that...

Condensed Matter Physics | Ostrogradski instability | Nuclear Physics, Heavy Ions, Hadrons | theory with higher derivatives | Theoretical, Mathematical and Computational Physics | Optics, Lasers, Photonics, Optical Devices | extended Chern–Simons theory | Physics, general | Physics | SELF-DUALITY | extended Chern-Simons theory | PHYSICS, MULTIDISCIPLINARY | STABILITY | HIGHER-DERIVATIVE EXTENSIONS | CONSERVATION-LAWS

Condensed Matter Physics | Ostrogradski instability | Nuclear Physics, Heavy Ions, Hadrons | theory with higher derivatives | Theoretical, Mathematical and Computational Physics | Optics, Lasers, Photonics, Optical Devices | extended Chern–Simons theory | Physics, general | Physics | SELF-DUALITY | extended Chern-Simons theory | PHYSICS, MULTIDISCIPLINARY | STABILITY | HIGHER-DERIVATIVE EXTENSIONS | CONSERVATION-LAWS

Journal Article

International Journal of Modern Physics A, ISSN 0217-751X, 03/2011, Volume 26, Issue 7n08, pp. 1347 - 1362

Any local field theory can be equivalently reformulated in the so-called unfolded form. General unfolded equations are non-Lagrangian even though the original...

quantization of non-Lagrangian dynamics | Unfolded representation in the field theory | PHYSICS, NUCLEAR | PHYSICS, PARTICLES & FIELDS

quantization of non-Lagrangian dynamics | Unfolded representation in the field theory | PHYSICS, NUCLEAR | PHYSICS, PARTICLES & FIELDS

Journal Article

Russian Physics Journal, ISSN 1064-8887, 3/2017, Volume 59, Issue 11, pp. 1930 - 1936

We consider the class of higher derivative 3d vector field models with the wave operator being a polynomial of the Chern–Simons operator. For the nth order...

Condensed Matter Physics | higher-order derivative theories | Nuclear Physics, Heavy Ions, Hadrons | Theoretical, Mathematical and Computational Physics | Optics, Lasers, Photonics, Optical Devices | Lagrange anchor | Physics, general | Physics | stability | Stability | Higher-order derivative theories | SELF-DUALITY | PHYSICS, MULTIDISCIPLINARY | Environmental law | Analysis

Condensed Matter Physics | higher-order derivative theories | Nuclear Physics, Heavy Ions, Hadrons | Theoretical, Mathematical and Computational Physics | Optics, Lasers, Photonics, Optical Devices | Lagrange anchor | Physics, general | Physics | stability | Stability | Higher-order derivative theories | SELF-DUALITY | PHYSICS, MULTIDISCIPLINARY | Environmental law | Analysis

Journal Article

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