Orbifold equivalence and the sign problem at finite baryon density

Abstract

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 μ_{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 μ_{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 μ_{B} \neq 0 using lattice studies of the SO(2N_{c}) theory.

4 pages. v4: added references

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• Singular values of the Dirac operator in dense QCD-like theories
• The Critical End Point of Quantum Chromodynamics Detected by Chirally Imbalanced Quark Matter
• Dense baryon matter with isospin and chiral imbalance in the framework of NJL${}_4$ model at large $N_c$: duality between chiral symmetry breaking and charged pion condensation
• Differences and similarities between fundamental and adjoint matters in SU(N) gauge theories
• Multi-flavor massless QED${}_2$ at finite densities via Lefschetz thimbles
• No-Go Theorem for Critical Phenomena in Large-Nc QCD
• Orbifold equivalence for finite density QCD and effective field theory
• Gradient flows without blow-up for Lefschetz thimbles
• SO(N) gauge theories in 2+1 dimensions: glueball spectra and confinement
• Sign problem and phase quenching in finite-density QCD: models, holography, and lattice
• Topological deconfinement transition in QCD at finite isospin density
• Thermal order in large N conformal gauge theories
• Comments on Yang-Mills thermodynamics, the Hagedorn spectrum and the gluon gas
• Symmetry breaking at high temperatures in large N gauge theories
• SO(2N) and SU(N) gauge theories in 2+1 dimensions
• On a new type of orbifold equivalence and M-theoretic AdS4/CFT3 duality
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• Generating new dualities through the orbifold equivalence: a demonstration in ABJM and four-dimensional quivers
• Center symmetry and Hagedorn spectrum
• Large Nc Equivalence and Baryons
• The deconfining phase transition of SO(N) gauge theories in 2+1 dimensions
• Towards extremely dense matter on the lattice
• QCD With A Chemical Potential, Topology, And The 't Hooft 1/N Expansion
• A new large-N limit and the planar equivalence outside the planar limit
• Finite isospin density probe for conformality
• Spectroscopy of SU(4) lattice gauge theory with fermions in the two index anti-symmetric representation
• Large-$N_c$ gauge theory and chiral random matrix theory
• Large-Nc universality of phases in QCD and QCD-like theories
• Some exact results on the QCD critical point
• Dualities from large N orbifold equivalence in Chern-Simons-matter theories with flavor
• Universality of phase diagrams in QCD and QCD-like theories
• Large-Nc equivalence and the sign problem at finite baryon density
• Taming the pion condensation in QCD at finite baryon density
• Isospin asymmetric matter in a nonlocal chiral quark model
• Dense Baryonic Matter and Applications of QCD Phase Diagram Dualities