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2015

A Monte Carlo algorithm for simulating fermions on Lefschetz thimbles

Alexandru, Andrei, Basar, Gokce, Bedaque, Paulo

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A possible solution of the notorious sign problem preventing direct Monte Carlo calculations for systems with non-zero chemical potential is to deform the integration region in the complex plane to a Lefschetz thimble.

We investigate this approach for a simple fermionic model.
We introduce an easy to implement Monte Carlo algorithm to sample the dominant thimble.
Our algorithm relies only on the integration of the gradient flow in the numerically stable direction, which gives it a distinct advantage over the other proposed algorithms.

A Monte Carlo algorithm for simulating fermions on Lefschetz thimbles · Around

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