Abstract
We discuss numerical aspects of instantons in two- and three-dimensional φ4 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 φ4 theories. The results contribute to the understanding of the mathematical structures underlying the instanton configurations.
Recommended Citation
L. T. Giorgini et al., "Instantons in Φ4 Theories: Transseries, Virial Theorems, and Numerical Aspects," Physical Review D, vol. 110, no. 3, article no. 036003, American Physical Society, Aug 2024.
The definitive version is available at https://doi.org/10.1103/PhysRevD.110.036003
Department(s)
Physics
International Standard Serial Number (ISSN)
2470-0029; 2470-0010
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 American Physical Society, All rights reserved.
Publication Date
01 Aug 2024
Comments
European Commission, Grant PHY–2110294