Orbifold equivalence and the sign problem at finite baryon density

Details Orbifold equivalence and the sign problem at finite baryon density Orbifold equivalence and the sign problem at finite baryon density

2010-09-08

arxiv.org/abs/1009.1623v4

Phys.Rev.Lett.106:091603,2011

Physics

High Energy Physics

High Energy Physics - Theory

4 pages. v4: added references

Scientific paper

10.1103/PhysRevLett.106.091603

We point out that SO(2N_{c}) gauge theory with N_{f} fundamental Dirac fermions does not have a sign problem at finite baryon number chemical potential \mu_{B}. One can thus use lattice Monte Carlo simulations to study this theory at finite density. The absence of a sign problem in the SO(2N_{c}) theory is particularly interesting because a wide class of observables in the SO(2N_{c}) theory coincide with observables in QCD in the large N_{c} limit, as we show using the technique of large N_{c} orbifold equivalence. We argue that the orbifold equivalence between the two theories continues to hold at \mu_{B} \neq 0 provided one adds appropriate deformation terms to the SO(2N_{c}) theory. This opens up the prospect of learning about QCD at \mu_{B} \neq 0 using lattice studies of the SO(2N_{c}) theory.

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