Towards the Born-Weyl Quantization of Fields
Kanatchikov, Igor V.
arXiv, 9712058 / Harvested from arXiv
Text on arXiv
Elements of the quantization in field theory based on the covariant polymomentum Hamiltonian formalism (the De Donder-Weyl theory), a possibility of which was originally discussed in 1934 by Born and Weyl, are developed. The approach is based on a recently proposed graded Poisson bracket on differential forms in field theory (see e.g. hep-th/9709229). A covariant analogue of the Schr\"odinger equation for a hypercomplex wave function on the space of field and space-time variables is put forward. It is shown to lead to the De Donder-Weyl Hamilton-Jacobi equations in quasiclassical limit. A possible relation to the functional Schr\"odinger picture in quantum field theory is outlined.
Publié le : 1997-12-31
Classification:  Quantum Physics,  General Relativity and Quantum Cosmology,  High Energy Physics - Theory,  Mathematical Physics 
@article{9712058,
     author = {Kanatchikov, Igor V.},
     title = {Towards the Born-Weyl Quantization of Fields},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9712058}
}

Kanatchikov, Igor V. Towards the Born-Weyl Quantization of Fields. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9712058/