In BFSS matrix theory, the sign problem is nonzero at large N but first appears at 10-loop order, giving ⟨cosθ⟩ ≈ exp(−9×10⁻⁹ N²(λβ³)⁵).
Nagata,Finite-density lattice QCD and sign problem: Current status and open problems, Prog
12 Pith papers cite this work. Polarity classification is still indexing.
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2026 12representative citing papers
Gauss law codes identify the full gauge-invariant sector as the code space while vacuum codes restrict to the matter vacuum, with the two shown to be unitarily equivalent for finite gauge groups.
Introduces gauge-invariant QMETTS using mutually unbiased physical bases derived from stabilizer formalism for Z2 LGT at finite T and density, with single-shot sampling shown near-optimal and numerical validation in 1+1D.
A mapping of the Jaynes-Cummings-Hubbard model onto the spin-1/2 Quantum Link Model via tuned polaritonic resonances in cavity arrays enables analog simulation of U(1) LGT dynamics with matter, verified by exact diagonalization.
For diagonal quadratic evolutions, qubit encodings are asymptotically cheaper than qudit encodings in both Trotter and LCU settings, but small-dimension qudits can win under favorable synthesis or code-switching assumptions.
Dissipative protocols on quantum hardware prepare approximate thermal states for kagome AFIM up to 79 sites and AFHM via simulation, with circuit depth independent of size and linear in inverse temperature.
The paradox in the canonical approach at high temperature with the Roberge-Weiss transition originates from infinite-size effects and vanishes in finite-size systems due to smearing, validating the approach for lattice QCD.
Steep matter-density gradients in neutron stars can produce neutrino-antineutrino pairs analogous to the Schwinger effect.
In the two-flavor linear sigma model with quarks, the chiral phase transition at T=0 is first order and occurs at a quark chemical potential equal to the vacuum quark mass.
FRG analysis in the linear sigma model for QC2D shows enhanced meson U(1)_A anomaly couplings with increasing mu_q but suppressed topological susceptibility following chiral restoration at high density or temperature.
Leading order chiral perturbation theory yields the minimal energy condition for vortex nucleation in the pion condensed phase, with vortices carrying quantized angular momentum and self-confining pions.
A holographic QCD model with dilaton-dependent Gauss-Bonnet corrections matches lattice thermodynamics and yields non-monotonic η/s plus a critical endpoint.
citing papers explorer
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An effective field theory approach to the sign problem in BFSS
In BFSS matrix theory, the sign problem is nonzero at large N but first appears at 10-loop order, giving ⟨cosθ⟩ ≈ exp(−9×10⁻⁹ N²(λβ³)⁵).
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Gauss law codes and vacuum codes from lattice gauge theories
Gauss law codes identify the full gauge-invariant sector as the code space while vacuum codes restrict to the matter vacuum, with the two shown to be unitarily equivalent for finite gauge groups.
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Gauge-invariant QMETTS with mutually unbiased physical bases for $Z_2$ lattice gauge theories at finite temperature and density
Introduces gauge-invariant QMETTS using mutually unbiased physical bases derived from stabilizer formalism for Z2 LGT at finite T and density, with single-shot sampling shown near-optimal and numerical validation in 1+1D.
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Photonic Analog Quantum Simulation of (1+1)-Dimensional $U(1)$ Lattice Gauge Theory with Dynamical Matter
A mapping of the Jaynes-Cummings-Hubbard model onto the spin-1/2 Quantum Link Model via tuned polaritonic resonances in cavity arrays enables analog simulation of U(1) LGT dynamics with matter, verified by exact diagonalization.
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Fault-Tolerant Resource Comparison of Qudit and Qubit Encodings for Diagonal Quadratic Operators
For diagonal quadratic evolutions, qubit encodings are asymptotically cheaper than qudit encodings in both Trotter and LCU settings, but small-dimension qudits can win under favorable synthesis or code-switching assumptions.
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Preparing thermal states of frustrated quantum spin systems using 139 qubits
Dissipative protocols on quantum hardware prepare approximate thermal states for kagome AFIM up to 79 sites and AFHM via simulation, with circuit depth independent of size and linear in inverse temperature.
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The canonical approach at high temperature revisited
The paradox in the canonical approach at high temperature with the Roberge-Weiss transition originates from infinite-size effects and vanishes in finite-size systems due to smearing, validating the approach for lattice QCD.
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Gradient-Produced Neutrinos
Steep matter-density gradients in neutron stars can produce neutrino-antineutrino pairs analogous to the Schwinger effect.
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Chiral first order phase transition at finite baryon density and zero temperature from self-consistent pole masses in the linear sigma model with quarks
In the two-flavor linear sigma model with quarks, the chiral phase transition at T=0 is first order and occurs at a quark chemical potential equal to the vacuum quark mass.
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FRG analysis of dense two-color QCD within the linear sigma model
FRG analysis in the linear sigma model for QC2D shows enhanced meson U(1)_A anomaly couplings with increasing mu_q but suppressed topological susceptibility following chiral restoration at high density or temperature.
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Minimal superfluid vortices in chiral perturbation theory
Leading order chiral perturbation theory yields the minimal energy condition for vortex nucleation in the pion condensed phase, with vortices carrying quantized angular momentum and self-confining pions.
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Thermodynamics and transport in holographic QCD with Gauss-Bonnet corrections
A holographic QCD model with dilaton-dependent Gauss-Bonnet corrections matches lattice thermodynamics and yields non-monotonic η/s plus a critical endpoint.