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Convergent series for polynomial lattice models with complex actions

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Lattice models with complex actions are important for the understanding of matter at finite densities, but not accessible by the standard Monte Carlo techniques due to the sign problem. Here,… Click to show full abstract

Lattice models with complex actions are important for the understanding of matter at finite densities, but not accessible by the standard Monte Carlo techniques due to the sign problem. Here, we propose a new approach aiming to avoid the complex action/sign problem, by extending the method of convergent series (CS) with a non-Gaussian initial approximation. The main properties of the new series are demonstrated on the example of the two-dimensional oscillating integral.

Keywords: series polynomial; models complex; convergent series; complex actions; lattice models; series

Journal Title: Modern Physics Letters A
Year Published: 2019

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