dorsal/arxiv
View SchemaLorentz covariance of three-dimensional equations
| Authors | V. Pascalutsa, J. A. Tjon |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9905062 |
| URL | https://arxiv.org/abs/nucl-th/9905062 |
| Journal | Few Body Syst.Suppl.10:105-114,1999 |
Abstract
We show how the invariance under the charge conjugation and CPT symmetry, present in the Bethe-Salpeter equation, is lost in the reduction to certain relativistic three-dimensional equations. This in particular leads to the breakdown of the standard Lorentz structure and renormalization procedures for the resulting single-particle propagators. We formulate the equal-time approximation of the Bethe-Salpeter equation in the form which manifestly satisfies the above symmetries, and apply it to the description of the pion-nucleon interaction in a dynamical model based on hadron exchanges. We also consider the one-body limit of various three-dimensional equations for the case of $t$- and $u$-channel one-particle-exchange potential.
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"abstract": "We show how the invariance under the charge conjugation and CPT symmetry,\npresent in the Bethe-Salpeter equation, is lost in the reduction to certain\nrelativistic three-dimensional equations. This in particular leads to the\nbreakdown of the standard Lorentz structure and renormalization procedures for\nthe resulting single-particle propagators. We formulate the equal-time\napproximation of the Bethe-Salpeter equation in the form which manifestly\nsatisfies the above symmetries, and apply it to the description of the\npion-nucleon interaction in a dynamical model based on hadron exchanges. We\nalso consider the one-body limit of various three-dimensional equations for the\ncase of $t$- and $u$-channel one-particle-exchange potential.",
"arxiv_id": "nucl-th/9905062",
"authors": [
"V. Pascalutsa",
"J. A. Tjon"
],
"categories": [
"nucl-th"
],
"journal_ref": "Few Body Syst.Suppl.10:105-114,1999",
"title": "Lorentz covariance of three-dimensional equations",
"url": "https://arxiv.org/abs/nucl-th/9905062"
},
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