Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.03670 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916116516831232 |
|---|---|
| author | Chan, Chuan-Tsung Itoyama, Hiroshi Yoshioka, Reiji |
| author_facet | Chan, Chuan-Tsung Itoyama, Hiroshi Yoshioka, Reiji |
| contents | A non-perturbative effect in $κ$ (renormalized string coupling) obtained from the large order behavior in the vicinity of the prototypical Argyres-Douglas critical point of $su(2)$, $N_f =2$, $\mathcal{N} =2$ susy gauge theory can be studied in the GWW unitary matrix model with the log term: the one as the work done against the barrier of the effective potential by a single eigenvalue lifted from the sea and the other as a non-perturbative function contained in the solutions of the nonlinear differential equation PII that goes beyond the asymptotic series.
The leading behaviors are of the form $\exp (-\frac{4}{3}\frac{1}κ \, (1, \left(\frac{s}{K}\right)^{\frac{3}{2}} ))$ respectively.
We make comments on their agreement. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_03670 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Large order behavior near the AD point: the case of $\mathcal{N} =2$, $su(2)$, $N_f =2$ Chan, Chuan-Tsung Itoyama, Hiroshi Yoshioka, Reiji High Energy Physics - Theory A non-perturbative effect in $κ$ (renormalized string coupling) obtained from the large order behavior in the vicinity of the prototypical Argyres-Douglas critical point of $su(2)$, $N_f =2$, $\mathcal{N} =2$ susy gauge theory can be studied in the GWW unitary matrix model with the log term: the one as the work done against the barrier of the effective potential by a single eigenvalue lifted from the sea and the other as a non-perturbative function contained in the solutions of the nonlinear differential equation PII that goes beyond the asymptotic series. The leading behaviors are of the form $\exp (-\frac{4}{3}\frac{1}κ \, (1, \left(\frac{s}{K}\right)^{\frac{3}{2}} ))$ respectively. We make comments on their agreement. |
| title | Large order behavior near the AD point: the case of $\mathcal{N} =2$, $su(2)$, $N_f =2$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2402.03670 |