Topics in quantum field theory: Renormalization groups in Hamiltonian framework and baryon structure in a non-local QCD model
| dc.creator | Rezaeian, Amir H. | |
| dc.date | 2005-07-26 | |
| dc.date.accessioned | 2026-07-07T03:55:18Z | |
| dc.date.available | 2026-07-07T03:55:18Z | |
| dc.description | In this thesis we investigate aspects of two problems. In the first part of this thesis, we concentrate on renormalization group methods in Hamiltonian framework. We show that the well-known coupled-cluster many-body theory techniques can be incorporated in the Wilsonian renormalization group to provide a very powerful framework for construction of effective Hamiltonian field theories. Eventhough the formulation is intrinsically non-perturbative, we have shown that a loop-expansion can be implemented. As illustrative examples, we apply our formulation on the $Φ^{4}$ theory and an extended Lee model. The many-body problem in an extended Lee model is also studied. We show that a combination of the coupled-cluster theory and the Feshbach projection techniques leads to a renormalized generalized Brueckner theory. The second part of the thesis is rather phenomenologically orientated. In this part, we will employ an effective field-theoretical model as can be constructed by means of the techniques of the first part of the thesis, a quark-confining non-local NJL model and study the baryon and diquarks in this model. After truncation of the two-body channels to the scalar and axial-vector diquarks, a relativistic Faddeev equation for nucleon bound states is solved in the covariant diquark-quark picture. We study the possible implications of quark confinement for the description of the diquarks and the nucleon. We also examine alternative field theoretical approaches for describing baryons. | |
| dc.description | 158 pages, PhD thesis | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0507304 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0507304 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/44510 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Topics in quantum field theory: Renormalization groups in Hamiltonian framework and baryon structure in a non-local QCD model | |
| dc.type | text |