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The density of state approach to the sign problem

Biagio Lucini
(
- Swansea U., Math. Dept.
)
,
Olmo Francesconi
(
- Swansea U. and
- LPMMC, Grenoble
)
,
Markus Holzmann
(
- LPMMC, Grenoble
)
,
Antonio Rago
(
- Plymouth U.
)

Jan 22, 2019

12 pages

Part of Proceedings, 13th Conference on Quark Confinement and the Hadron Spectrum (Confinement XIII) : Maynooth, Ireland, July 31-August 06, 2018, 051

Published in:

PoS Confinement2018 (2019) 051

Contribution to:

- Confinement XIII
, 051

Published: May 17, 2019 by SISSA

e-Print:

1901.07602 [hep-lat]

DOI:

10.22323/1.336.0051

View in:

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Abstract: (SISSA)

Approaches to the sign problem based on the density of states have been recently revived by the introduction of the LLR algorithm, which allows us to compute the density of states itself with exponential error reduction. In this work, after a review of the generalities of the method, we show recent results for the Bose gas in four dimensions, focussing on the identification of possible systematic errors and on methods of controlling the bias they can introduce in the calculation.

Note:

1 + 11 pages, 6 figures. Invited talk presented by B. Lucini at the conference "XIIIth Quark Confinement and the Hadron Spectrum", Maynooth University, Ireland, 1-6 August 2018

review
numerical methods: efficiency
action: complex
dimension: 4
boson: gas
density

References(20)

Figures(14)

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