https://repositorio.ufba.br/handle/ri/13605
metadata.dc.type: | Artigo de Periódico |
Título : | Spatial confinement and thermal deconfinement in the 3D Gross–Neveu model |
Otros títulos : | Physics Letters B |
Autor : | Malbouisson, J. M. C. Queiroz, H. Khanna, Faqir C. Malbouisson, A. P. C. Rocha Filho, Tarcísio M. da Santana, Ademir Eugênio de Silva, J. C. da |
metadata.dc.creator: | Malbouisson, J. M. C. Queiroz, H. Khanna, Faqir C. Malbouisson, A. P. C. Rocha Filho, Tarcísio M. da Santana, Ademir Eugênio de Silva, J. C. da |
Resumen : | We study the N-component (2+1)-dimensional Gross–Neveu model bounded between two parallel planes separated by a distance L at finite temperature T. From the four-point function, we obtain a closed expression for the large-N effective coupling constant g=g(L,T,λ). Different behavior depending on the magnitude of the fixed coupling constant λ is found to lead to a “critical” value λc. If λ<λc, only short-distance and/or high-temperature “asymptotic freedom” (g→0) is found. For λ⩾λc, and low enough T, one also observes a divergence in g as L→Lc, suggesting that fermions become spatially confined, an effect which is destroyed by raising the temperature. We find a confining length, Lc≃1.61 fm, that is close to the proton charge diameter (≈1.74 fm) and a “deconfining” temperature, ≃138 MeV, which is comparable to the estimated value of the deconfining temperature (≈200 MeV) for hadrons. |
Palabras clave : | Gross–Neveu model Four-point function Spatial confinement Thermal deconfinement |
metadata.dc.rights: | Acesso Aberto |
URI : | http://repositorio.ufba.br/ri/handle/ri/13605 |
Fecha de publicación : | 2005 |
Aparece en las colecciones: | Artigo Publicado em Periódico (FIS) |
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