Published September 25, 2009
| Version v1
Journal article
k-symplectic formalism on Lie algebroids
- 1. Instituto de Ciencias Matematicas (CSIC-UAM-UC3M-UCM) C/Serrano 123, 28006 Madrid (Spain)
- 2. Departamento de XeometrIa e TopoloxIa, Facultade de Matematicas, Universidade de Santiago de Compostela, 15782-Santiago de Compostela (Spain)
Description
In this paper we introduce a geometric description of Lagrangian and Hamiltonian classical field theories on Lie algebroids in the framework of k-symplectic geometry. We discuss the relation between the Lagrangian and Hamiltonian descriptions through a convenient notion of Legendre transformation. The theory is a natural generalization of the standard one; in addition, other interesting examples are studied, in particular, systems with symmetry and Poisson-sigma models.
Availability note (English)
Available from http://dx.doi.org/10.1088/1751-8113/42/38/385209Additional details
Identifiers
- DOI
- 10.1088/1751-8113/42/38/385209;
- PII
- S1751-8113(09)17547-9;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and Theoretical (Online)
- Journal Volume
- 42
- Journal Issue
- 38
- Journal Page Range
- [31 p.]
- ISSN
- 1751-8121
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41054385
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- ALGEBRA; GEOMETRY; HAMILTONIANS; LAGRANGIAN FUNCTION; QUANTUM FIELD THEORY; SIGMA MODEL; SYMMETRY; TRANSFORMATIONS
- Descriptors DEC
- BOSON-EXCHANGE MODELS; FIELD THEORIES; FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICS; PARTICLE MODELS; PERIPHERAL MODELS; QUANTUM OPERATORS