Monte Carlo algorithm for simulating fermions on Lefschetz thimbles

Alexandru, Andrei; Başar, Gökçe; Bedaque, Paulo

doi:10.1103/PhysRevD.93.014504

Title: Monte Carlo algorithm for simulating fermions on Lefschetz thimbles

Full Record
Other Related Research

Authors:: Alexandru, Andrei; Başar, Gökçe; Bedaque, Paulo

Publication Date:: Thu Jan 21 00:00:00 EST 2016

Sponsoring Org.:: USDOE

OSTI Identifier:: 1235598

Grant/Contract Number:: FG02-93ER-40762

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 93 Journal Issue: 1; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Alexandru, Andrei, Başar, Gökçe, and Bedaque, Paulo. Monte Carlo algorithm for simulating fermions on Lefschetz thimbles.  United States: N. p., 2016. 
Web.  doi:10.1103/PhysRevD.93.014504.

Copy to clipboard


                    Alexandru, Andrei, Başar, Gökçe, & Bedaque, Paulo. Monte Carlo algorithm for simulating fermions on Lefschetz thimbles.  United States.  https://doi.org/10.1103/PhysRevD.93.014504

Copy to clipboard


                    Alexandru, Andrei, Başar, Gökçe, and Bedaque, Paulo. Thu .  
"Monte Carlo algorithm for simulating fermions on Lefschetz thimbles".  United States.  https://doi.org/10.1103/PhysRevD.93.014504.

Copy to clipboard


                    
@article{osti_1235598,

  title        = {Monte Carlo algorithm for simulating fermions on Lefschetz thimbles},

  author       = {Alexandru, Andrei and Başar, Gökçe and Bedaque, Paulo},

  abstractNote = {},

  doi          = {10.1103/PhysRevD.93.014504},

  journal      = {Physical Review D},

  number       = 1,

  volume       = 93,

  place        = {United States},

  year         = {Thu Jan 21 00:00:00 EST 2016},

  month        = {Thu Jan 21 00:00:00 EST 2016}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.93.014504

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 69 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Similar Records in DOE PAGES and OSTI.GOV collections:

Fast estimator of Jacobians in the Monte Carlo integration on Lefschetz thimbles

Journal Article Alexandru, Andrei ; Başar, Gökçe ; Bedaque, Paulo F. ; ... - Physical Review D
Cited by 25
https://doi.org/10.1103/PhysRevD.93.094514
Finite density ${QED}_{1 + 1}$ near Lefschetz thimbles

Journal Article Alexandru, Andrei ; Başar, Gökçe ; Bedaque, Paulo F. ; ... - Physical Review D

One strategy for reducing the sign problem in finite-density field theories is to deform the path integral contour from real to complex fields. If the deformed manifold is the appropriate combination of Lefschetz thimbles—or somewhat close to them—the sign problem is alleviated. Gauge theories require generalizing the definition of thimble decompositions, and therefore it is unclear how to carry out a generalized thimble method. In this paper we discuss some of the conceptual issues involved by applying this method to QED _{1 + 1} at finite density, showing that the generalized thimble method yields correct results with less computational effortmore » than standard methods.« less
Cited by 25
https://doi.org/10.1103/PhysRevD.98.034506
Deep learning beyond Lefschetz thimbles

Journal Article Alexandru, Andrei ; Bedaque, Paulo F. ; Lamm, Henry ; ... - Physical Review D
Cited by 37
https://doi.org/10.1103/PhysRevD.96.094505
Sign problem and Monte Carlo calculations beyond Lefschetz thimbles

Journal Article Alexandru, Andrei ; Basar, Gokce ; Bedaque, Paulo F. ; ... - Journal of High Energy Physics (Online)

We point out that Monte Carlo simulations of theories with severe sign problems can be profitably performed over manifolds in complex space different from the one with fixed imaginary part of the action (“Lefschetz thimble”). We describe a family of such manifolds that interpolate between the tangent space at one critical point (where the sign problem is milder compared to the real plane but in some cases still severe) and the union of relevant thimbles (where the sign problem is mild but a multimodal distribution function complicates the Monte Carlo sampling). As a result, we exemplify this approach using amore »« less
Cited by 89
https://doi.org/10.1007/JHEP05(2016)053

Full Text Available
Lefschetz thimble quantum Monte Carlo for spin systems

Journal Article Mooney, T. C. ; Bringewatt, Jacob ; Warrington, Neill C. ; ... - Physical Review. B

Monte Carlo simulations are useful tools for modeling quantum systems, but in some cases they suffer from a sign problem, leading to an exponential slow down in their convergence to a value. While solving the sign problem is generically NP hard, many techniques exist for mitigating the sign problem in specific cases; in particular, the technique of deforming the Monte Carlo simulation's plane of integration onto Lefschetz thimbles (complex hypersurfaces of stationary phase) has seen significant success in the context of quantum field theories. We extend this methodology to spin systems by utilizing spin coherent state path integrals to reexpressmore »« less
https://doi.org/10.1103/physrevb.106.214416

Full Text Available

Similar Records