| Journal: | Brazilian journal of physics |
| Database: | PERIÓDICA |
| System number: | 000397410 |
| ISSN: | 0103-9733 |
| Authors: | Leonel, S.A1 Mendes, A.C.R1 Oliveira, W1 Silva, G.L1 Xavier, L.M.V1 |
| Institutions: | 1Universidade Federal de Juiz de Fora, Instituto de Ciencias Exatas, Juiz de Fora, Minas Gerais. Brasil |
| Year: | 2014 |
| Season: | Feb |
| Volumen: | 44 |
| Number: | 1 |
| Pages: | 108-118 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico |
| English abstract | We discuss the two-dimensional isotropic antiferromagnet in the framework of gauge invariance. Gauge invariance is one of the most subtle useful concepts in theoretical physics, since it allows one to describe the time evolution of complex physical system in arbitrary sequences of reference frames. All theories of the fundamental interactions rely on gauge invariance. In Dirac’s approach, the twodimensional isotropic antiferromagnet is subject to secondclass constraints, which are independent of the Hamiltonian symmetries and can be used to eliminate certain canonical variables from the theory. We have used the symplectic embedding formalism developed by a few of us to make the system under study gauge invariant. After carrying out the embedding and Dirac analysis, we systematically show how second-class constraints can generate hidden symmetries. We obtain the invariant second-order Lagrangian and the gauge-invariant model Hamiltonian. Finally, for a particular choice of factor ordering, we derive the functional Schr¨oodinger equations for the original Hamiltonian and for S. A. Leonel · A. C. R. Mendes · W. Oliveira () · G. L. Silva · L. M. V. Xavier Departamento de F´ısica, ICE, Universidade Federal de Juiz de Fora, 36036-330 Juiz de Fora, Minas Gerais, Brazil e-mail: wilson@fisica.ufjf.br S. A. Leonel e-mail: sidiney@fisica.ufjf.br A. C. R. Mendes e-mail: albert@fisica.ufjf.br G. L. Silva e-mail: glima@fisica.ufjf.br L. M. V. Xavier e-mail: lucianaxavier@fisica.ufjf.br the first-class Hamiltonian and show them to be identical, which justifies our choice of factor ordering |
| Disciplines: | Física y astronomía, Ingeniería |
| Keyword: | Física de partículas y campos cuánticos, Ingeniería de materiales, Mecánica cuántica, Teorías de Gauge, Antiferromagnetismo, Simetría, Corchetes de Dirac |
| Keyword: | Physics and astronomy, Engineering, Particle physics and quantum fields, Materials engineering, Quantum mechanics, Gauge theories, Antiferromagnetism, Symmetry, Dirac brackets |
| Full text: | Texto completo (Ver PDF) |
