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Previous issue date: 2014-02-17 / The Quantum Chromodynamics (QCD) is the current theory that aim to describe the
strong interactions in the Standard Model. It is a non-abelian gauge theory where quarks
and gluons are the fundamental particles. However, QCD exhibits difficulties when low energy
regimes are considered and perturbative methods cannot be employed. Thus, effective models
are extremely important and useful when low energy limits are considered. Starting with QCD
we develop an effetive model taking into account the second order gluon condensate, ⟨Aa
A a
⟩,
and quark-antiquark, ⟨ qq⟩. The coupled GAP equations are derived for Ns = 3 and numerical
solutions are found for that. Furthermore, a functional expansion from effective potencial
to the sixth order is calculated and contributions from that terms inserted into the effective
lagrangian. / A Cromodin^amica Qu^antica (QCD) e a atual teoria que busca descrever as intera c~oes
fortes dentro do modelo padr~ao. Trata-se de uma teoria de calibre n~ao-abeliana em que os
quarks e gl uons constituem as part culas fundamentais. Entretanto, a QCD apresenta di -
culdades quando consideram-se regimes de baixas energias em que t ecnicas n~ao perturbativas
devem ser utilizadas. Assim, o uso de modelos efetivos e de extrema import^ancia e utilidade
para os regimes de baixas energias que s~ao os de interesse deste trabalho. Partindo da QCD
desenvolveremos um modelo efetivo para intera c~oes entre quarks levando em conta a presen ca
dos condensados de gl uons de ordem dois, ⟨Aa
A a
⟩, e de quark-antiquark, ⟨ qq⟩. As equa c~oes do
GAP acopladas s~ao obtidas para Ns = 3 e suas solu c~oes num ericas s~ao encontradas. Al em disso,
a expans~ao funcional do potencial efetivo at e sexta ordem no campo dos quarks e calculada e
as contribui c~oes destes termos consideradas na lagrangeana efetiva.
| Identifer | oai:union.ndltd.org:IBICT/oai:repositorio.bc.ufg.br:tede/3064 |
| Date | 17 February 2014 |
| Creators | Paulo Júnior, Ademar |
| Contributors | Braghin, Fábio Luis, Krein, Gastão Inácio, Avelar, Ardiley Torres |
| Publisher | Universidade Federal de Goiás, Programa de Pós-graduação em Fisica (IF), UFG, Brasil, Instituto de Física - IF (RG) |
| Source Sets | IBICT Brazilian ETDs |
| Language | Portuguese |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/masterThesis |
| Format | application/pdf |
| Source | reponame:Biblioteca Digital de Teses e Dissertações da UFG, instname:Universidade Federal de Goiás, instacron:UFG |
| Rights | http://creativecommons.org/licenses/by-nc-nd/4.0/, info:eu-repo/semantics/openAccess |
| Relation | 3162138865744262028, 600, 600, 600, -4029658853652049306, 5970492835442269114 |
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