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O. Philipsen, Constraining the QCD phase diagram at finite temperature and density
Original
1912
Earlier work this paper cites.
K. Zambello and F. Di Renzo, On the Lefschetz thimbles structure of the Thirring model
Original
1912
Earlier work this paper cites.
A. Alexandru, G. Basar, P. F. Bedaque and N. C. Warrington, Complex Paths Around The Sign Problem
Original
2007
Earlier work this paper cites.
P. de Forcrand, Simulating QCD at finite density
Original
2009
Earlier work this paper cites.
E. Witten, Analytic Continuation Of Chern-Simons Theory
Original
2011
Earlier work this paper cites.
M. Cristoforetti et al
Original
2012
Earlier work this paper cites.
M. Fromm, J. Langelage, S. Lottini and O. Philipsen, The QCD deconfinement transition for heavy quarks and all baryon chemical potentials
Original
2012
Earlier work this paper cites.
H. Fujii, D. Honda, M. Kato, Y. Kikukawa, S. Komatsu and T. Sano, Hybrid Monte Carlo on Lefschetz thimbles - A study of the residual sign problem
Original
2013
Earlier work this paper cites.

Similar

M. Cristoforetti, F. Di Renzo, A. Mukherjee and L. Scorzato, Monte Carlo simulations on the Lefschetz thimble: Taming the sign problem
Original
2013
Cited alongside, same era.
M. Fromm, J. Langelage, S. Lottini, M. Neuman and O. Philipsen, Onset Transition to Cold Nuclear Matter from Lattice QCD with Heavy Quarks
Original
2013
Cited alongside, same era.
M. Cristoforetti, F. Di Renzo, G. Eruzzi, A. Mukherjee, C. Schmidt, L. Scorzato and C. Torrero, An efficient method to compute the residual phase on a Lefschetz thimble
Original
2014
Cited alongside, same era.
J. Langelage, M. Neuman and O. Philipsen, Heavy dense QCD and nuclear matter from an effective lattice theory
Original
2014
Cited alongside, same era.
H. Fujii, S. Kamata and Y. Kikukawa, Lefschetz thimble structure in one-dimensional lattice Thirring model at finite density

Then

A. Alexandru, G. Basar, P. F. Bedaque, G. W. Ridgway and N. C. Warrington, Sign problem and Monte Carlo calculations beyond Lefschetz thimbles
Original
2016
Later among the works it cites.
A. Alexandru, P. F. Bedaque, H. Lamm and S. Lawrence, Deep Learning Beyond Lefschetz Thimbles
Original
2017
Later among the works it cites.
Y. Mori, K. Kashiwa and A. Ohnishi, Toward solving the sign problem with path optimization method
Original
2017
Later among the works it cites.
A. Alexandru, P. F. Bedaque, H. Lamm and S. Lawrence, Finite-Density Monte Carlo Calculations on Sign-Optimized Manifolds
Original
2018
Later among the works it cites.
F. Di Renzo and G. Eruzzi, One-dimensional QCD in thimble regularization

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2020

Taylor expansions on Lefschetz thimbles (and not only that)

Di Renzo, Francesco, Singh, Simran, Zambello, Kevin

Understand

Thimble regularisation is a possible solution to the sign problem, which is evaded by formulating quantum field theories on manifolds where the imaginary part of the action stays constant (Lefschetz thimbles).

A major obstacle is due to the fact that one in general needs to collect contributions coming from more than one thimble.
Here we explore the idea of performing Taylor expansions on Lefschetz thimbles.
We show that in some cases we can compute expansions in regions where only the dominant thimble contributes to the result in such a way that these (different, disjoint) regions can be bridged.