dorsal/arxiv
View SchemaInternal Symmetry Group and Density Matrix of Fields with Spins 0, 1
| Authors | S. I. Kruglov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0110042 |
| URL | https://arxiv.org/abs/quant-ph/0110042 |
| Journal | Hadronic J.24:167-185,2001 |
Abstract
The internal symmetry group U(3,1) of the neutral vector fields with two spins 0 and 1 is investigated. Massless fields correspond to the generalized Maxwell equations with the gradient term. The symmetry transformations in the coordinate space are integro-differential transformations. Using the method of the Hamiltonian formalism the conservation tensors are found, and the quantized theory is studied. The necessity to introduce an indefinite metric is shown. The internal symmetry group U(3,1) being considered, after the transition to electrodynamics, reduces to the U(2) group. It is shown that the group of dual transformations is the subgroup of the group under consideration. All the linearly independent solutions of the equation for a free particle obtained in terms of the projection matrix-dyads.
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"abstract": "The internal symmetry group U(3,1) of the neutral vector fields with two\nspins 0 and 1 is investigated. Massless fields correspond to the generalized\nMaxwell equations with the gradient term. The symmetry transformations in the\ncoordinate space are integro-differential transformations. Using the method of\nthe Hamiltonian formalism the conservation tensors are found, and the quantized\ntheory is studied. The necessity to introduce an indefinite metric is shown.\nThe internal symmetry group U(3,1) being considered, after the transition to\nelectrodynamics, reduces to the U(2) group. It is shown that the group of dual\ntransformations is the subgroup of the group under consideration.\n All the linearly independent solutions of the equation for a free particle\nobtained in terms of the projection matrix-dyads.",
"arxiv_id": "quant-ph/0110042",
"authors": [
"S. I. Kruglov"
],
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"quant-ph"
],
"journal_ref": "Hadronic J.24:167-185,2001",
"title": "Internal Symmetry Group and Density Matrix of Fields with Spins 0, 1",
"url": "https://arxiv.org/abs/quant-ph/0110042"
},
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