Finite density QED 1 + 1 near Lefschetz thimbles

Alexandru, Andrei; Başar, Gökçe; Bedaque, Paulo F.; Lamm, Henry; Lawrence, Scott

doi:10.1103/PhysRevD.98.034506

Title: Finite density ${QED}_{1 + 1}$ near Lefschetz thimbles

Journal Article · Thu Aug 30 00:00:00 EDT 2018 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.98.034506· OSTI ID:1467759

Alexandru, Andrei; Başar, Gökçe; Bedaque, Paulo F.; Lamm, Henry; Lawrence, Scott

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 effort than standard methods.

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Research Organization:: Univ. of Illinois, Chicago, IL (United States); George Washington Univ., Washington, DC (United States); Univ. of Maryland, College Park, MD (United States)

Sponsoring Organization:: USDOE; National Science Foundation (NSF)

Grant/Contract Number:: FG02-95ER40907; DE FG02-01ER41195; FG02-93ER-40762; FG02-01ER41195; FG02-93ER40762; PHY-1151648

OSTI ID:: 1467759

Alternate ID(s):: OSTI ID: 1498965

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 98 Journal Issue: 3; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 25 works

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References (25)

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Review on novel methods for lattice gauge theories Carmen Bañuls, Mari; Cichy, Krzysztof Reports on Progress in Physics, Vol. 83, Issue 2 https://doi.org/10.1088/1361-6633/ab6311	journal	January 2020