dorsal/arxiv
View SchemaGauging of equations method. I. Electromagnetic currents of three distinguishable particles
| Authors | A. N. Kvinikhidze, B. Blankleider |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9901001 |
| URL | https://arxiv.org/abs/nucl-th/9901001 |
| DOI | 10.1103/PhysRevC.60.044003 |
| Journal | Phys.Rev. C60 (1999) 044003 |
Abstract
We present a general method for incorporating an external electromagnetic field into descriptions of few-body systems whose strong interactions are described by integral equations. In particular, we address the case where the integral equations are those of quantum field theory and effectively sum up an infinite number of Feynman diagrams. The method involves the idea of gauging the integral equations themselves, and results in electromagnetic amplitudes where an external photon is effectively coupled to every part of every strong interaction diagram in the model. Current conservation is therefore implemented in the way prescribed by quantum field theory. We apply our gauging procedure to the four-dimensional integral equations describing a system of three distinguishable relativistic particles. In this way we obtain the expressions needed to calculate all possible electromagnetic processes of the three-body system. An interesting aspect of our results is the natural appearance of a subtraction term needed to avoid the overcounting of diagrams.
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"abstract": "We present a general method for incorporating an external electromagnetic\nfield into descriptions of few-body systems whose strong interactions are\ndescribed by integral equations. In particular, we address the case where the\nintegral equations are those of quantum field theory and effectively sum up an\ninfinite number of Feynman diagrams. The method involves the idea of gauging\nthe integral equations themselves, and results in electromagnetic amplitudes\nwhere an external photon is effectively coupled to every part of every strong\ninteraction diagram in the model. Current conservation is therefore implemented\nin the way prescribed by quantum field theory. We apply our gauging procedure\nto the four-dimensional integral equations describing a system of three\ndistinguishable relativistic particles. In this way we obtain the expressions\nneeded to calculate all possible electromagnetic processes of the three-body\nsystem. An interesting aspect of our results is the natural appearance of a\nsubtraction term needed to avoid the overcounting of diagrams.",
"arxiv_id": "nucl-th/9901001",
"authors": [
"A. N. Kvinikhidze",
"B. Blankleider"
],
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"nucl-th"
],
"doi": "10.1103/PhysRevC.60.044003",
"journal_ref": "Phys.Rev. C60 (1999) 044003",
"title": "Gauging of equations method. I. Electromagnetic currents of three distinguishable particles",
"url": "https://arxiv.org/abs/nucl-th/9901001"
},
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