Thursday, January 17, 2013

1301.3520 (Axel Maas et al.)

Bounds on free energy in QCD    [PDF]

Axel Maas, Daniel Zwanziger
We derive some exact bounds on the free energy $W(J)$ in QCD, where $J_\mu^b$ is a source for the gluon field $A_\mu^b$ in the minimal Landau gauge, and $W(J)$ is the generating functional of connected gluon correlators. Among other results, we show that for a static source $J(x) = h$ the free energy vanishes, $W(h) = 0$, together with its first derivative, ${\partial W(h) \over \partial h} = 0,$ for all $h$, no matter how strong. Thus the system does not respond to a static color probe. We also present numerical evaluations of the free energy $W(J)$ and find that the bounds are well satisfied and in fact undersaturated.
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