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Title: Instantons in ϕ4 theories: Transseries, virial theorems, and numerical aspects
We discuss numerical aspects of instantons in two- and three-dimensional ϕ 4 theories with an internal O ( N ) symmetry group, the so-called N -vector model. By combining asymptotic transseries expansions for large arguments with convergence acceleration techniques, we obtain high-precision values for certain integrals of the instanton that naturally occur in loop corrections around instanton configurations. Knowledge of these numerical properties is necessary in order to evaluate corrections to the large-order factorial growth of perturbation theory in ϕ 4 theories. The results contribute to the understanding of the mathematical structures underlying the instanton configurations. Published by the American Physical Society2024  more » « less
Award ID(s):
2110294
PAR ID:
10530889
Author(s) / Creator(s):
; ; ; ;
Publisher / Repository:
American Physical Society
Date Published:
Journal Name:
Physical Review D
Volume:
110
Issue:
3
ISSN:
2470-0010
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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