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2014

An efficient method to compute the residual phase on a Lefschetz thimble

Cristoforetti, M., Di Renzo, F., Eruzzi, G. et al.

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We propose an efficient method to compute the so-called residual phase that appears when performing Monte Carlo calculations on a Lefschetz thimble.

The method is stochastic and its cost scales linearly with the physical volume, linearly with the number of stochastic estimators and quadratically with the length of the extra dimension along the gradient flow.
This is a drastic improvement over previous estimates of the cost of computing the residual phase.
We also report on basic tests of correctness and scaling of the code.

An efficient method to compute the residual phase on a Lefschetz thimble · Around

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Similar

E. Witten, (2010), arXiv:1001.2933 [hep-th]
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D. Avitabile and T. J. Bridges, Physica D: Nonlinear Phenomena 239
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2012
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M. Cristoforetti, F. Di Renzo, A. Mukherjee, and L. Scorzato, Phys.Rev. D88
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M. Cristoforetti, F. Di Renzo, A. Mukherjee, and L. Scorzato, (2013b), arXiv:1312.1052 [hep-lat]
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Cited in the paper.
F. Di Renzo, G. Eruzzi, and C. Torrero, (In preparation)
Cited in the paper.
M. Cristoforetti, L. Scorzato, and F. Di Renzo, J.Phys.Conf.Ser. 432
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Then

A. Mukherjee, M. Cristoforetti, and L. Scorzato, Phys.Rev. D88
Original
2013
Later among the works it cites.
H. Fujii, D. Honda, M. Kato, Y. Kikukawa, S. Komatsu, et al. , JHEP 1310
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2013
Later among the works it cites.
G. Aarts, Phys.Rev. D88
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Later among the works it cites.

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