421 citations · 9k across the 167 of their papers we have counts for
133 papers · 1 filter
Resurgence of the Effective Action in Inhomogeneous Fields
Gerald V. Dunne, Zachary Harris
We show how background field inhomogeneities modify the non-perturbative structure of the effective action. The simple Borel poles of the Euler-Heisenberg effective action become b…
Uniformizing Lee-Yang Singularities
Gokce Basar, Gerald Dunne, Zelong Yin
Motivated by the search for the QCD critical point, we discuss how to obtain the singular behavior of a thermodynamic system near a critical point, namely the Lee-Yang singularitie…
Instantons or Renormalons? A Comment on phi4_4 Theory in the MS Scheme
Gerald V. Dunne, Max Meynig
We comment that the recent exact six-loop and seven-loop computations of renormalization group functions for the O(N)-symmetric four dimensional phi^4 quantum field theory show hin…
Borel Summation and Analytic Continuation of the Heat Kernel on Hyperbolic Space
Gerald V. Dunne
The heat kernel expansion on even-dimensional hyperbolic spaces is asymptotic at both short and long times, with interestingly different Borel properties for these short and long t…
Conformal and Uniformizing Maps in Borel Analysis
Ovidiu Costin, Gerald V. Dunne
Perturbative expansions in physical applications are generically divergent, and their physical content can be studied using Borel analysis. Given just a finite number of terms of s…
Strong coupling expansion of free energy and BPS Wilson loop in superconformal models with fundamental hypermultiplets
M. Beccaria, G. V. Dunne, A. A. Tseytlin
As a continuation of the study (in arXiv:2102.07696 and arXiv:2104.12625) of strong-coupling expansion of non-planar corrections in 4d superconformal models we consi…
BPS Wilson loop in superconformal "orientifold" gauge theory and weak-strong coupling interpolation
Matteo Beccaria, Gerald V. Dunne, Arkady A. Tseytlin
We consider the expectation value of the circular BPS Wilson loop in superconformal gauge theory containing a vector multiplet coupled…
Semiclassical Trans-Series from the Perturbative Hopf-Algebraic Dyson-Schwinger Equations: QFT in 6 Dimensions
Michael Borinsky, Gerald V. Dunne, Max Meynig
We analyze the asymptotically free massless scalar quantum field theory in 6 dimensions, using resurgent asymptotic analysis to find the trans-series solutions which yield th…
On the Higher Loop Euler-Heisenberg Trans-Series Structure
Gerald V. Dunne, Zachary Harris
We show that the one-loop Euler-Heisenberg QED effective Lagrangian in a constant background field acquires a very different non-perturbative trans-series structure at two-loop and…
Non-Perturbative Completion of Hopf-Algebraic Dyson-Schwinger Equations
Michael Borinsky, Gerald V. Dunne
For certain quantum field theories, the Kreimer-Connes Hopf-algebraic approach to renormalization reduces the Dyson-Schwinger equations to a system of non-linear ordinary different…
Physical Resurgent Extrapolation
Ovidiu Costin, Gerald V. Dunne
Expansions of physical functions are controlled by their singularities, which have special structure because they themselves are physical, corresponding to instantons, caustics or…
Towards the QED beta function and renormalons at and
Nicola Andrea Dondi, Gerald V. Dunne, Manuel Reichert +1
We determine the and contributions to the QED beta function stemming from the closed set of nested diagrams. At order we discover a new logarithmic br…
Bions and Instantons in Triple-well and Multi-well Potentials
Gerald V. Dunne, Tin Sulejmanpasic, Mithat Unsal
Quantum systems with multiple degenerate classical harmonic minima exhibit new non-perturbative phenomena which are not present for the double-well and periodic potentials. The sim…
Resurgent Extrapolation: Rebuilding a Function from Asymptotic Data. Painleve I
Ovidiu Costin, Gerald V. Dunne
Extrapolation is a generic problem in physics and mathematics: how to use asymptotic data in one parametric regime to learn about the behavior of a function in another parametric r…
Analytic Coupling Structure of Large (Super) QED and QCD
Nicola Andrea Dondi, Gerald V. Dunne, Manuel Reichert +1
We study the analytic properties of the 't Hooft coupling expansion of the beta-function at the leading nontrivial large- order for QED, QCD, Super QED and Super QCD. For each…
Resurgence, Painleve Equations and Conformal Blocks
Gerald V. Dunne
We discuss some physical consequences of the resurgent structure of Painleve equations and their related conformal block expansions. The resurgent structure of Painleve equations i…
Non-Perturbative Large N Trans-series for the Gross-Witten-Wadia Beta Function
Anees Ahmed, Gerald V. Dunne
We describe the non-perturbative trans-series, at both weak- and strong-coupling, of the large N approximation to the beta function of the Gross-Witten-Wadia unitary matrix model.…
Critical Points at Infinity, Non-Gaussian Saddles, and Bions
Alireza Behtash, Gerald V. Dunne, Thomas Schaefer +2
It has been argued that many non-perturbative phenomena in quantum mechanics (QM) and quantum field theory (QFT) are determined by complex field configurations, and that these cont…
Quantum Distillation of Hilbert Spaces, Semi-classics and Anomaly Matching
Gerald V. Dunne, Yuya Tanizaki, Mithat Ünsal
A symmetry-twisted boundary condition of the path integral provides a suitable framework for the semi-classical analysis of nonperturbative quantum field theories (QFTs), and we re…
Transmutation of a Trans-series: The Gross-Witten-Wadia Phase Transition
Anees Ahmed, Gerald V. Dunne
We study the change in the resurgent asymptotic properties of a trans-series in two parameters, a coupling and a gauge index , as a system passes through a large phase…
Convergence from Divergence
Ovidiu Costin, Gerald V. Dunne
We show how to convert divergent series, which typically occur in many applications in physics, into rapidly convergent inverse factorial series. This can be interpreted physically…
Quantum Geometry of Resurgent Perturbative/Nonperturbative Relations
Gokce Basar, Gerald V. Dunne, Mithat Unsal
For a wide variety of quantum potentials, including the textbook `instanton' examples of the periodic cosine and symmetric double-well potentials, the perturbative data coming from…
Deconstructing zero: resurgence, supersymmetry and complex saddles
Gerald V. Dunne, Mithat Unsal
We explain how a vanishing, or truncated, perturbative expansion, such as often arises in semi-classically tractable supersymmetric theories, can nevertheless be related to fluctua…
On the Time Dependence of Adiabatic Particle Number
Robert Dabrowski, Gerald V. Dunne
We consider quantum field theoretic systems subject to a time-dependent perturbation, and discuss the question of defining a time dependent particle number not just at asymptotic e…