A gauge model describing N relativistic particles bound by linear forces
Journal Article
·
· Mod. Phys. Lett. A; (United States)
A relativistic model of N particles bound by linear forces is obtained by applying the gauging procedure to the linear canonical symmetries of a simple (rudimentary) nonrelativistic N-particle Lagrangian extended to relativistic phase space. The new (gauged) Lagrangian is formally Poincare invariant, the Hamiltonian is a linear combination of first-class constraints which are closed with respect to Poisson brackets and generate the localized symmetries. The gauge potentials appear as the Lagrange multipliers of the constraints. Gauge fixing and quantization of the model are also briefly discussed.
- Research Organization:
- Joint Inst. for Nuclear Research, Dubna (USSR). Lab. of Theoretical Physics
- OSTI ID:
- 5810681
- Journal Information:
- Mod. Phys. Lett. A; (United States), Journal Name: Mod. Phys. Lett. A; (United States) Vol. 4:5; ISSN MPLAE
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645300* -- High Energy Physics-- Particle Invariance Principles & Symmetries
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CANONICAL TRANSFORMATIONS
DIFFERENTIAL EQUATIONS
ENERGY RANGE
EQUATIONS
FIELD THEORIES
GAUGE INVARIANCE
GENERAL RELATIVITY THEORY
HAMILTONIANS
INVARIANCE PRINCIPLES
LAGRANGIAN FIELD THEORY
LIE GROUPS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
POINCARE GROUPS
POISSON EQUATION
QUANTIZATION
QUANTUM FIELD THEORY
QUANTUM OPERATORS
RELATIVISTIC RANGE
RELATIVITY THEORY
SYMMETRY
SYMMETRY GROUPS
TRANSFORMATIONS
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CANONICAL TRANSFORMATIONS
DIFFERENTIAL EQUATIONS
ENERGY RANGE
EQUATIONS
FIELD THEORIES
GAUGE INVARIANCE
GENERAL RELATIVITY THEORY
HAMILTONIANS
INVARIANCE PRINCIPLES
LAGRANGIAN FIELD THEORY
LIE GROUPS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
POINCARE GROUPS
POISSON EQUATION
QUANTIZATION
QUANTUM FIELD THEORY
QUANTUM OPERATORS
RELATIVISTIC RANGE
RELATIVITY THEORY
SYMMETRY
SYMMETRY GROUPS
TRANSFORMATIONS