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metadata.dc.type: | Artigo de Periódico |
Title: | Confinement in the 3-dimensional Gross-Neveu model at finite temperature |
Other Titles: | Brazilian Journal of Physics |
Authors: | Khanna, Faqir C. Malbouisson, Adolfo Pedro Carvalho Malbouisson, Jorge Mário Carvalho Santanac, A. E. |
metadata.dc.creator: | Khanna, Faqir C. Malbouisson, Adolfo Pedro Carvalho Malbouisson, Jorge Mário Carvalho Santanac, A. E. |
Abstract: | 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). We obtain a closed expression for the large-N effective coupling constant g = g(L,T,l). Different behavior depending on the magnitude of the fixed coupling constant l is found to lead to a ''critical'' value lc. If l < lc, only short-distance and/or high-temperature asymptotic freedom is found. For l > lc one also observes spatial confinement, which is destroyed by temperature effects. 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 » 200 MeV for hadrons. |
Keywords: | Gross-Neveu model Four-point function Spatial confinement |
Publisher: | Brazilian Journal of Physics |
URI: | http://www.repositorio.ufba.br/ri/handle/ri/6932 |
Issue Date: | 2007 |
Appears in Collections: | Artigo Publicado em Periódico (FIS) |
Files in This Item:
File | Description | Size | Format | |
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Khannaa, F. C..pdf | 149,82 kB | Adobe PDF | View/Open |
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