Large Order Behavior Near the AD Point: The Case of 𝒩 = 2, su(2), Nf = 2

Chan, Chuan-Tsung; Itoyama, Hiroshi; Yoshioka, Reiji

doi:10.1093/ptep/ptae034

Large Order Behavior Near the AD Point: The Case of 𝒩 = 2, su(2), Nf = 2

Chuan-Tsung Chan
(
- Tunghai U.
)
,
Hiroshi Itoyama
(
- Osaka Metropolitan U. and
- OCAMI, Osaka
)
,
Reiji Yoshioka
(
- Osaka Metropolitan U. and
- OCAMI, Osaka
)

Feb 5, 2024

14 pages

Published in:

PTEP 2024 (2024) 4, 041B01

Published: Mar 30, 2024

e-Print:

2402.03670 [hep-th]

DOI:

10.1093/ptep/ptae034

Report number:

NITEP 196

View in:

ADS Abstract Service

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Abstract: (Oxford University Press)

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), = 2, |

\mathcal {N} =2

| supersymmetric gauge theory can be studied in the Gross–Witten–Wadia unitary matrix model with the log term: 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 Painlevé II equation that goes beyond the asymptotic series. The leading behaviors are of the form |

\exp \{[-({4}/{3})({1}/{\kappa })] \, [1, \left({s}/{K}\right)^{{3}/{2}}]\}

|⁠. We make comments on their agreement.

Note:

14 pages

B83 Matrix models
effect: nonperturbative
matrix model: unitarity
solution: nonlinear
string: coupling
differential equations: nonlinear
effective potential
critical phenomena
gauge field theory

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