Comparison of Improved Perturbative Methods

Y Meurice; Haiyuan Zou

doi:10.22323/1.139.0255

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Comparison of Improved Perturbative Methods

Conference proceeding

Open access

Comparison of Improved Perturbative Methods

Y Meurice and Haiyuan Zou

XXIVth International Symposium on Lattice Field Theory : LAT2006, July 23-28, 2006, Tucson, Arizona

Proceedings of Science, v. 139

07/05/2012

DOI: 10.22323/1.139.0255

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Abstract

In many cases of interest, the perturbative series based on conventional Feynman diagrams have a zero radius of convergence. Series with a finite radius of convergence can be obtained by either introducing a large field cutoff or by replacing the exponential of the perturbation by a sequence of approximants as recently proposed by Pollet, Prokof'ev, and Svistunov. We compare these two methods for integrals and quantum mechanical problems. The two methods perform well in complementary regime (strong coupling for the large field cutoff and intermediate coupling for the other method). We briefly discuss potential applications for lattice gauge theory with compact groups (which have a build-in large field cutoff).

Quantum Mechanics

Approximants

Convergence

Coupling

Feynman diagrams

Gauge theory

Perturbation

Series (mathematics)

Details

Title: Subtitle: Comparison of Improved Perturbative Methods
Creators: Y Meurice
Haiyuan Zou
Resource Type: Conference proceeding
Publication Details: XXIVth International Symposium on Lattice Field Theory : LAT2006, July 23-28, 2006, Tucson, Arizona
Series: Proceedings of Science; v. 139
DOI: 10.22323/1.139.0255
eISSN: 2331-8422
Publisher: Ithaca
Language: English
Date published: 07/05/2012
Academic Unit: Physics and Astronomy
Record Identifier: 9984429018302771

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