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Confinement and the effective string theory in SU(N->oo) : a lattice study
We calculate in the SU(6) gauge theory the mass of the lightest flux loop
that winds around a spatial torus, as a function of the torus size, taking care
to achieve control of the main systematic errors. For comparison we perform a
similar calculation in SU(4). We demonstrate approximate linear confinement and
show that the leading correction is consistent with what one expects if the
flux tube behaves like a simple bosonic string at long distances. We obtain
similar but less accurate results for stable (k-)strings in higher
representations. We find some evidence that for k>1 the length scale at which
the bosonic string correction becomes dominant increases as N increases. We
perform all these calculations not just for long strings, up to about 2.5`fm'
in length, but also for shorter strings, down to the minimum length, lc = 1/Tc,
where Tc is the deconfining temperature. We find that the mass of the
ground-state string, at all length scales, is not very far from the simple
Nambu-Goto string theory prediction, and that the fit improves as N increases
from N=4 to N=6. We estimate the mass of the first excited string and find that
it also follows the Nambu-Goto prediction, albeit more qualitatively. We
comment upon the significance of these results for the string description of
SU(N) gauge theories in the limit of infinite N.Comment: 21 pages, 5 figure
Design issues for lunar in situ aluminum/oxygen propellant rocket engines
Design issues for lunar ascent and lunar descent rocket engines fueled by aluminum/oxygen propellant produced in situ at the lunar surface were evaluated. Key issues are discussed which impact the design of these rockets: aluminum combustion, throat erosion, and thrust chamber cooling. Four engine concepts are presented, and the impact of combustion performance, throat erosion and thrust chamber cooling on overall engine design are discussed. The advantages and disadvantages of each engine concept are presented
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