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Tempered transitions between thimbles

Andrei Alexandru
(
- George Washington U.
)
,
Gokce Basar
(
- Illinois U., Chicago and
- Maryland U.
)
,
Paulo F. Bedaque
(
- Maryland U.
)
,
Neill C. Warrington
(
- Maryland U.
)

Mar 7, 2017

8 pages

Published in:

Phys.Rev.D 96 (2017) 3, 034513

Published: Aug 18, 2017

e-Print:

1703.02414 [hep-lat]

DOI:

10.1103/PhysRevD.96.034513

View in:

ADS Abstract Service

reference search66 citations

Citations per year

Abstract: (APS)

Quantum field theories with complex actions cannot be investigated using importance sampling due to the sign problem. One possible solution is to use the holomorphic gradient flow, a method we introduced related to the Lefschetz thimbles idea. In many cases the probability distribution generated by this method is multimodal and standard Monte Carlo sampling fails. We propose an algorithm that incorporates tempered proposals to solve this problem. We apply this algorithm to the Thirring 0+1-dimensional model at finite density for a parameter set where standard sampling fails and show that tempered proposals cure this problem.

Note:

10 pages, 6 figures

density: finite
action: complex
lattice field theory
Thirring model
dimension: 1
holomorphic
numerical calculations
numerical calculations: Monte Carlo
flow: Wilson
numerical methods: efficiency

References(14)

Figures(6)

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AuroraScience

Collaboration

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Marco Cristoforetti
(
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- ECT, Trento
)
,
Francesco Di Renzo
(
- INFN, Parma and
- Parma U.
)
,
Abhishek Mukherjee
(
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)
,
Luigi Scorzato
(
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- ECT, Trento
)

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•
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[3]

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Abhishek Mukherjee
(
- ECT, Trento and
- Trento U.
)
,
Marco Cristoforetti
(
- ECT, Trento and
- Trento U.
)
,
Luigi Scorzato
(
- ECT, Trento and
- Trento U.
)

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•
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•
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•
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•
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[5]

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Andrei Alexandru
(
- George Washington U.
)
,
Gökçe Basar
(
- Maryland U.
)
,
Paulo Bedaque
(
- Maryland U.
)

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•
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[7]

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Andrei Alexandru
(
- George Washington U.
)
,
Gokce Basar
(
- Maryland U.
)
,
Paulo F. Bedaque
(
- Maryland U.
)
,
Gregory W. Ridgway
(
- Maryland U.
)
,
Neill C. Warrington
(
- Maryland U.
)

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•
e-Print:
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•
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[8]

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•
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[9]

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[11]

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Christian Schmidt
(
- Bielefeld U.
)
,
Felix Ziesché
(
- Bielefeld U.
)

- PoS LATTICE2016 (2017) 076
•
e-Print:
- 1701.08959
•
DOI:
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[12]

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Jan M. Pawlowski
(
- U. Heidelberg, ITP and
- Darmstadt, EMMI
)
,
Christian Zielinski
(
- U. Heidelberg, ITP
)

- Phys.Rev.D 87 (2013) 9, 094503
•
e-Print:
- 1302.1622
•
DOI:
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[13]

Lefschetz-thimble approach to the Silver Blaze problem of one-site fermion model

Yuya Tanizaki
(
- RIKEN BNL
)
,
Yoshimasa Hidaka
(
- Nishina Ctr., RIKEN
)
,
Tomoya Hayata
(
- Chuo U., Tokyo
)

- PoS LATTICE2016 (2016) 030
•
e-Print:
- 1610.00393
•
DOI:
- 10.22323/1.256.0030

[14]

Parallel tempering algorithm for integration over Lefschetz thimbles

Masafumi Fukuma
(
- Kyoto U.
)
,
Naoya Umeda
(
- Kyoto U.
)

- PTEP 2017 (2017) 7, 073B01,
- Prog Theor Exp Phys (2017)
•
e-Print:
- 1703.00861
•
DOI:
- 10.1093/ptep/ptx081