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arXiv · 1804.00697

Finite-Density Monte Carlo Calculations on Sign-Optimized Manifolds

Andrei Alexandru·Paulo Bedaque·Henry Lamm·Scott Lawrence
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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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Andrei Alexandru, Paulo Bedaque, Henry Lamm, Scott Lawrence. 2018-04-02. Finite-Density Monte Carlo Calculations on Sign-Optimized Manifolds. https://doi.org/10.1103/physrevd.97.094510

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