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.
Finite-Density Monte Carlo Calculations on Sign-Optimized Manifolds
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abstract
We present a general technique for addressing sign problems that arise in Monte Carlo simulations of field theories. This method deforms the domain of the path integral to a manifold in complex field space that maximizes the average sign (therefore reducing the sign problem) within a parameterized family of manifolds. We presents results for the $1+1$ dimensional Thirring model with Wilson fermions on lattice sizes up to $40\times 10$. This method reaches higher $\mu$ then previous techniques while substantially decreasing the computational time required.
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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.