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Lattice simulations of $G_2$-QCD at finite density · Around

2015

Lattice simulations of $G_2$-QCD at finite density

Wellegehausen, Bjoern H., von Smekal, Lorenz

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$G_2$-QCD, in which the exceptional Lie group $G_2$ replaces the $SU(3)$ gauge group of QCD, does not suffer from a fermion sign problem.

It can therefore be simulated also at comparatively low temperatures and high densities on the lattice, which hence allows to map out the phase diagram of this QCD-like theory.
We briefly review some of our previous results from such finite density simulations to then present further evidence for a first-order transition to what might be called $G_2$-nuclear matter.
In order to isolate diquark condensation effects, we introduce simulations with Majorana fermions and diquark sources.

Built on

Nucl. Phys. B 582
J.B. Kogut, M.A. Stephanov et al., · 2000
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Eur. Phys. J. C 17
S. Hands, I. Montvay, S. Morrison, M. Oevers and L. Scorzato, · 2000
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Nucl. Phys. B 668
K. Holland, P. Minkowski, M. Pepe and U.J. Wiese, · 2003
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M. Pepe and U.-J. Wiese, Nucl. Phys. B 768
2007
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