Bulletin of the American Physical Society
APS March Meeting 2021
Volume 66, Number 1
Monday–Friday, March 15–19, 2021; Virtual; Time Zone: Central Daylight Time, USA
Session F21: Precision Many-Body Physics I: Methods and Algorithms
11:30 AM–2:30 PM,
Tuesday, March 16, 2021
Sponsoring
Units:
DCOMP DCMP DAMOP
Chair: Joaquin Drut, University of North Carolina at Chapel Hill
Abstract: F21.00005 : Evaluation of arbitrary Feynman graphs via algorithmic methods.*
12:18 PM–12:30 PM
Live
Presenter:
James LeBlanc
(Memo Univ of Newfoundland)
Author:
James LeBlanc
(Memo Univ of Newfoundland)
However, the formulation of diagrams in terms of Matsubara frequencies is not well suited to numerical computations due
to an intrinsic inability to evaluate the unbounded Matsubara frequency integrals.
In this talk we present an algorithm for fully symbolic evaluation of arbitrary Feynman diagrams that overcomes this issue, and many others.
Further, from this perspective of analytics we identify a procedure for high order
diagrams which allows for the optimal reduction of the sign problem. This is accomplished via invariant transformations that allow us to group
diagrams whose integrands are analytically equal or analytically cancel.
*This work is funded by the Natural Sciences and Engineering Council of Canada (NSERC) (RGPIN-2017-04253)
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