dorsal/arxiv
View SchemaRole of retardation in 3-D relativistic equations
| Authors | A. D. Lahiff, I. R. Afnan |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9708037 |
| URL | https://arxiv.org/abs/nucl-th/9708037 |
| DOI | 10.1103/PhysRevC.56.2387 |
| Journal | Phys.Rev.C56:2387-2395,1997 |
Abstract
Equal-time Green's function is used to derive a three-dimensional integral equation from the Bethe-Salpeter equation. The resultant equation, in the absence of anti-particles, is identical to the use of time-ordered diagrams, and has been used within the framework of $\phi^2\sigma$ coupling to study the role of energy dependence and non-locality when the two-body potential is the sum of $\sigma$-exchange and crossed $\sigma$ exchange. The results show that non-locality and energy dependence make a substantial contribution to both the on-shell and off-shell amplitudes.
{
"annotation_id": "68efe060-b8f5-45d5-8709-eac0a23ef51d",
"date_created": "2026-03-02T18:00:18.802000Z",
"date_modified": "2026-03-02T18:00:18.802000Z",
"file_hash": "7beb5a5181dc7646aa355fa9a9c2e18cdd09ae098fc18fb82fb81828a4a7416c",
"private": false,
"record": {
"abstract": "Equal-time Green\u0027s function is used to derive a three-dimensional integral\nequation from the Bethe-Salpeter equation. The resultant equation, in the\nabsence of anti-particles, is identical to the use of time-ordered diagrams,\nand has been used within the framework of $\\phi^2\\sigma$ coupling to study the\nrole of energy dependence and non-locality when the two-body potential is the\nsum of $\\sigma$-exchange and crossed $\\sigma$ exchange. The results show that\nnon-locality and energy dependence make a substantial contribution to both the\non-shell and off-shell amplitudes.",
"arxiv_id": "nucl-th/9708037",
"authors": [
"A. D. Lahiff",
"I. R. Afnan"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.56.2387",
"journal_ref": "Phys.Rev.C56:2387-2395,1997",
"title": "Role of retardation in 3-D relativistic equations",
"url": "https://arxiv.org/abs/nucl-th/9708037"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "f7f81f61-193c-4070-bfe3-0611854a787f",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}