421 citations · 9k across the 167 of their papers we have counts for
7 papers · 2 filters
Complex Saddles in Two-dimensional Gauge Theory
P. V. Buividovich, Gerald V. Dunne, S. N. Valgushev
We study numerically the saddle point structure of two-dimensional (2D) lattice gauge theory, represented by the Gross-Witten-Wadia unitary matrix model. The saddle points are in g…
Toward Picard-Lefschetz Theory of Path Integrals, Complex Saddles and Resurgence
Alireza Behtash, Gerald V. Dunne, Thomas Schaefer +2
We show that the semi-classical analysis of generic Euclidean path integrals necessarily requires complexification of the action and measure, and consideration of complex saddle so…
Complexified path integrals, exact saddles and supersymmetry
Alireza Behtash, Gerald V. Dunne, Thomas Schaefer +2
In the context of two illustrative examples from supersymmetric quantum mechanics we show that the semi-classical analysis of the path integral requires complexification of the con…
Hydrodynamics, resurgence and trans-asymptotics
Gokce Basar, Gerald V. Dunne
The second-order hydrodynamical description of a homogeneous conformal plasma that undergoes a boost- invariant expansion is given by a single nonlinear ordinary differential equat…
Resurgence and Dynamics of O(N) and Grassmannian Sigma Models
Gerald V. Dunne, Mithat Unsal
We study the non-perturbative dynamics of the two dimensional and Grassmannian sigma models by using compactification with twisted boundary conditions on $\mathbb R \times…
IR Renormalons vs. Operator Product Expansion in Supersymmetric and Related Gauge Theories
Gerald V. Dunne, M. Shifman, Mithat Unsal
We use the "conspiracy" between infrared (IR) renormalons and condensates in the operator product expansion for correlation functions to make predictions concerning the structure o…
Resurgence and the Nekrasov-Shatashvili Limit: Connecting Weak and Strong Coupling in the Mathieu and Lam'e Systems
Gokce Basar, Gerald V. Dunne
The Nekrasov-Shatashvili limit for the low-energy behavior of N=2 and N=2* supersymmetric SU(2) gauge theories is encoded in the spectrum of the Mathieu and Lam'e equations, respec…