dorsal/arxiv
View SchemaOne-Nucleon Effective Generators of the Poincare Group derived from a Field Theory: Mass Renormalization
| Authors | A. Kruger, W. Glockle |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9904004 |
| URL | https://arxiv.org/abs/nucl-th/9904004 |
| DOI | 10.1103/PhysRevC.60.024004 |
| Journal | Phys.Rev. C60 (1999) 024004 |
Abstract
We start from a Lagrangian describing scalar "nucleons" and mesons which interact through a simple vertex. Okubo's method of unitary transformation is used to describe a single nucleon dressed by its meson cloud. We find an expression for the physical mass of the nucleon being correct up to second order in the coupling constant. It is then verified that this result is the same as the corresponding expression found by Feynman techniques. Finally we also express the three boost operators in terms of the physical nucleon mass. Doing so we find expressions for all the ten generators of Poincar\'e transformations for the system of one single dressed nucleon.
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"abstract": "We start from a Lagrangian describing scalar \"nucleons\" and mesons which\ninteract through a simple vertex. Okubo\u0027s method of unitary transformation is\nused to describe a single nucleon dressed by its meson cloud. We find an\nexpression for the physical mass of the nucleon being correct up to second\norder in the coupling constant. It is then verified that this result is the\nsame as the corresponding expression found by Feynman techniques. Finally we\nalso express the three boost operators in terms of the physical nucleon mass.\nDoing so we find expressions for all the ten generators of Poincar\\\u0027e\ntransformations for the system of one single dressed nucleon.",
"arxiv_id": "nucl-th/9904004",
"authors": [
"A. Kruger",
"W. Glockle"
],
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"nucl-th"
],
"doi": "10.1103/PhysRevC.60.024004",
"journal_ref": "Phys.Rev. C60 (1999) 024004",
"title": "One-Nucleon Effective Generators of the Poincare Group derived from a Field Theory: Mass Renormalization",
"url": "https://arxiv.org/abs/nucl-th/9904004"
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