PoS - Proceedings of Science
Volume 363 - 37th International Symposium on Lattice Field Theory (LATTICE2019) - Main session
Simulating gauge theories on Lefschetz Thimbles
F.A. Ziesché*, J.M. Pawlowski, M. Scherzer, C. Schmidt and F. Ziegler
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Pre-published on: January 04, 2020
Published on: August 27, 2020
Lefschetz thimbles have been proposed recently as a possible solution to the complex action problem (sign problem) in Monte Carlo simulations. Here we discuss pure abelian gauge theory with a complex coupling $\beta$ and apply the concept of Generalized Lefschetz thimbles. We propose to simulate the theory on the union of the tangential manifolds to the thimbles.
We construct a local Metropolis-type algorithm, that is constrained to a specific tangential manifold. We also discuss how, starting from this result, successive subleading tangential manifolds can be taken into account via a reweighting approach. We demonstrate the algorithm on U(1) gauge theory in 1+1 dimensions and investigate the residual sign problem.
DOI: https://doi.org/10.22323/1.363.0223
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