dorsal/arxiv
View SchemaSome exact solutions of reduced scalar Yukawa theory
| Authors | Jurij W. Darewych |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9807006 |
| URL | https://arxiv.org/abs/nucl-th/9807006 |
| DOI | 10.1139/cjp-76-7-523 |
| Journal | Can.J.Phys. 76 (1998) 523-537 |
Abstract
The scalar Yukawa model, in which a complex scalar field interact via a real scalar field, is reduced by using covariant Green functions. It is shown that exact few-particle eigenstates of the truncated QFT Hamiltonian can be obtained in the Feshbach-Villars formulation if an unorthodox "empty" vacuum state is used. Analytic solutions for the two-body case are obtained for massless chion exchange in 3+1 dimensions and for massive chion exchange in 1+1 dimensions. Comparison is made to ladder Bethe-Salpeter, Feynman-Schwinger and quasipotential results for massive chion exchange in 3+1. Equations for the three-body case are also obtained.
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"abstract": "The scalar Yukawa model, in which a complex scalar field interact via a real\nscalar field, is reduced by using covariant Green functions. It is shown that\nexact few-particle eigenstates of the truncated QFT Hamiltonian can be obtained\nin the Feshbach-Villars formulation if an unorthodox \"empty\" vacuum state is\nused. Analytic solutions for the two-body case are obtained for massless chion\nexchange in 3+1 dimensions and for massive chion exchange in 1+1 dimensions.\nComparison is made to ladder Bethe-Salpeter, Feynman-Schwinger and\nquasipotential results for massive chion exchange in 3+1. Equations for the\nthree-body case are also obtained.",
"arxiv_id": "nucl-th/9807006",
"authors": [
"Jurij W. Darewych"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1139/cjp-76-7-523",
"journal_ref": "Can.J.Phys. 76 (1998) 523-537",
"title": "Some exact solutions of reduced scalar Yukawa theory",
"url": "https://arxiv.org/abs/nucl-th/9807006"
},
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