dorsal/arxiv
View SchemaRepresentations of U(2\infty) and the Value of the Fine Structure Constant
| Authors | William H. Klink |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0512228 |
| URL | https://arxiv.org/abs/quant-ph/0512228 |
| DOI | 10.3842/SIGMA.2005.028 |
| Journal | SIGMA 1:028,2005 |
Abstract
A relativistic quantum mechanics is formulated in which all of the interactions are in the four-momentum operator and Lorentz transformations are kinematic. Interactions are introduced through vertices, which are bilinear in fermion and antifermion creation and annihilation operators, and linear in boson creation and annihilation operators. The fermion-antifermion operators generate a unitary Lie algebra, whose representations are fixed by a first order Casimir operator (corresponding to baryon number or charge). Eigenvectors and eigenvalues of the four-momentum operator are analyzed and exact solutions in the strong coupling limit are sketched. A simple model shows how the fine structure constant might be determined for the QED vertex.
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"abstract": "A relativistic quantum mechanics is formulated in which all of the\ninteractions are in the four-momentum operator and Lorentz transformations are\nkinematic. Interactions are introduced through vertices, which are bilinear in\nfermion and antifermion creation and annihilation operators, and linear in\nboson creation and annihilation operators. The fermion-antifermion operators\ngenerate a unitary Lie algebra, whose representations are fixed by a first\norder Casimir operator (corresponding to baryon number or charge). Eigenvectors\nand eigenvalues of the four-momentum operator are analyzed and exact solutions\nin the strong coupling limit are sketched. A simple model shows how the fine\nstructure constant might be determined for the QED vertex.",
"arxiv_id": "quant-ph/0512228",
"authors": [
"William H. Klink"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP"
],
"doi": "10.3842/SIGMA.2005.028",
"journal_ref": "SIGMA 1:028,2005",
"title": "Representations of U(2\\infty) and the Value of the Fine Structure Constant",
"url": "https://arxiv.org/abs/quant-ph/0512228"
},
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