Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-03-06
Physics
High Energy Physics
High Energy Physics - Theory
7 pages, 0 figures, invited talk The many faces of QCD, November 2-5, 2010, Gent Belgium
Scientific paper
We consider the free energy $W[J] = W_k(H)$ of QCD coupled to an external source $J_\mu^b(x) = H_\mu^b \cos(k \cdot x)$, where $H_\mu^b$ is, by analogy with spin models, an external "magnetic" field with a color index that is modulated by a plane wave. We report an optimal bound on $W_k(H)$ and an exact asymptotic expression for $W_k(H)$ at large $H$. They imply confinement of color in the sense that the free energy per unit volume $W_k(H)/V$ and the average magnetization $m(k, H) ={1 \over V} {\p W_k(H) \over \p H}$ vanish in the limit of constant external field $k \to 0$. Recent lattice data indicate a gluon propagator $D(k)$ which is non-zero, $D(0) \neq 0$, at $k = 0$. This would imply a non-analyticity in $W_k(H)$ at $k = 0$. We present a model that is consistent with the new results and exhibits (non)-analytic behavior. Direct numerical tests of the bounds are proposed.
No associations
LandOfFree
An improved model of color confinement 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 An improved model of color confinement, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An improved model of color confinement will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-418869