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Title: Finite density QED 1 + 1 near Lefschetz thimbles

Abstract

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.

Authors:
; ; ; ;
Publication Date:
Research Org.:
Univ. of Illinois, Chicago, IL (United States); George Washington Univ., Washington, DC (United States); Univ. of Maryland, College Park, MD (United States)
Sponsoring Org.:
USDOE; National Science Foundation (NSF)
OSTI Identifier:
1467759
Alternate Identifier(s):
OSTI ID: 1498965
Grant/Contract Number:  
[FG02-95ER40907; DE FG02-01ER41195; FG02-93ER-40762; FG02-01ER41195; FG02-93ER40762; PHY-1151648]
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
[Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 3]; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Alexandru, Andrei, Başar, Gökçe, Bedaque, Paulo F., Lamm, Henry, and Lawrence, Scott. Finite density QED 1 + 1 near Lefschetz thimbles. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.98.034506.
Alexandru, Andrei, Başar, Gökçe, Bedaque, Paulo F., Lamm, Henry, & Lawrence, Scott. Finite density QED 1 + 1 near Lefschetz thimbles. United States. doi:10.1103/PhysRevD.98.034506.
Alexandru, Andrei, Başar, Gökçe, Bedaque, Paulo F., Lamm, Henry, and Lawrence, Scott. Thu . "Finite density QED 1 + 1 near Lefschetz thimbles". United States. doi:10.1103/PhysRevD.98.034506.
@article{osti_1467759,
title = {Finite density QED 1 + 1 near Lefschetz thimbles},
author = {Alexandru, Andrei and Başar, Gökçe and Bedaque, Paulo F. and Lamm, Henry and Lawrence, Scott},
abstractNote = {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.},
doi = {10.1103/PhysRevD.98.034506},
journal = {Physical Review D},
number = [3],
volume = [98],
place = {United States},
year = {2018},
month = {8}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.98.034506

Citation Metrics:
Cited by: 4 works
Citation information provided by
Web of Science

Figures / Tables:

FIG. 1. FIG. 1.: A schematic view of Stokes’ phenomenon. The original integration contour is given by the dash-dotted green line. The solid dots denote the critical points, solid lines denote different thimbles, and the arrows denote the orientation of the thimbles. As the argument of S changes (from left to right),more » the thimble decomposition jumps from $T$ 1 (left) to $T$ 1 + $T$ 2 (right). When Stokes’ phenomenon occurs (center) there is no unique thimble decomposition, which we indicate by two paths of integration given by the red dashed and blue dotted lines.« less

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