Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-06-03
Int.J.Mod.Phys. A20 (2005) 4638-4645
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 4 pages, 2 figures (one new), some changes in text
Scientific paper
10.1142/S0217751X05028314
We consider the $N$-components 3-dimensional massive Gross-Neveu model compactified in one spatial direction, the system being constrained to a slab of thickness $L$. We derive a closed formula for the effective renormalized $L$-dependent coupling constant in the large-N limit, using bag-model boundary conditions. For values of the fixed coupling constant in absence of boundaries $\lambda \geq \lambda_c \simeq 19.16$, we obtain ultra-violet asymptotic freedom (for $L \to 0$) and confinement for a length $L^{(c)}$ such that $2.07 m^{-1} < L^{(c)} \lesssim 2.82 m^{-1}$, $m$ being the fermionic mass. Taking for $m$ an average of the masses of the quarks composing the proton, we obtain a confining legth $L^{(c)}_p$ which is comparable with an estimated proton diameter.
da Silva Júlio C. C.
Malbouisson Adolfo P. C.
Malbouisson J. M. C.
Santana Ademir E.
No associations
LandOfFree
Confinement in the 3-dimensional Gross-Neveu model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Confinement in the 3-dimensional Gross-Neveu model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Confinement in the 3-dimensional Gross-Neveu model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-129667