dorsal/arxiv
View SchemaFirst Order Variational Calculation of Form Factor in a Scalar Nucleon--Meson Theory
| Authors | A. W. Schreiber, R. Rosenfelder |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9510032 |
| URL | https://arxiv.org/abs/nucl-th/9510032 |
| DOI | 10.1016/0375-9474(96)00016-4 |
| Journal | Nucl.Phys. A601 (1996) 397-424 |
Abstract
We investigate a relativistic quantum field theory in the particle representation using a non-perturbative variational technique. The theory is that of two massive scalar particles, `nucleons' and `mesons', interacting via a Yukawa coupling. We calculate the general Euclidean Green function involving two external nucleons and an arbitrary number of external mesons in the quenched approximation for the nucleons. The non-perturbative renormalization and truncation is done in a consistent manner and results in the same variational functional independent of the number of external mesons. We check that the calculation agrees with one-loop perturbation theory for small couplings. As an illustration the special case of meson absorption on the nucleon is considered in detail. We derive the radius of the dressed particle and numerically investigate the vertex function after analytic continuation to Minkowski space.
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"abstract": "We investigate a relativistic quantum field theory in the particle\nrepresentation using a non-perturbative variational technique. The theory is\nthat of two massive scalar particles, `nucleons\u0027 and `mesons\u0027, interacting via\na Yukawa coupling. We calculate the general Euclidean Green function involving\ntwo external nucleons and an arbitrary number of external mesons in the\nquenched approximation for the nucleons. The non-perturbative renormalization\nand truncation is done in a consistent manner and results in the same\nvariational functional independent of the number of external mesons. We check\nthat the calculation agrees with one-loop perturbation theory for small\ncouplings. As an illustration the special case of meson absorption on the\nnucleon is considered in detail. We derive the radius of the dressed particle\nand numerically investigate the vertex function after analytic continuation to\nMinkowski space.",
"arxiv_id": "nucl-th/9510032",
"authors": [
"A. W. Schreiber",
"R. Rosenfelder"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/0375-9474(96)00016-4",
"journal_ref": "Nucl.Phys. A601 (1996) 397-424",
"title": "First Order Variational Calculation of Form Factor in a Scalar Nucleon--Meson Theory",
"url": "https://arxiv.org/abs/nucl-th/9510032"
},
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