421 citations · 9k across the 167 of their papers we have counts for
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Precise Quark Mass Dependence of Instanton Determinant
Gerald V. Dunne, Jin Hur, Choonkyu Lee +1
The fermion determinant in an instanton background for a quark field of arbitrary mass is determined exactly using an efficient numerical method to evaluate the determinant of a pa…
Self-duality, helicity and background field loopology
Gerald V. Dunne
I show that helicity plays an important role in the development of rules for computing higher loop effective Lagrangians. Specifically, the two-loop Heisenberg-Euler effective Lagr…
Multiloop Information from the QED Effective Lagrangian
Gerald V. Dunne, Christian Schubert
We obtain information on the QED photon amplitudes at high orders in perturbation theory starting from known results on the QED effective Lagrangian in a constant electric field. A…
Instanton Determinant with Arbitrary Quark Mass: WKB Phase-shift Method and Derivative Expansion
Gerald V. Dunne, Jin Hur, Choonkyu Lee +1
The fermion determinant in an instanton background for a quark field of arbitrary mass is studied using the Schwinger proper-time representation with WKB scattering phase shifts fo…
Heisenberg-Euler Effective Lagrangians : Basics and Extensions
Gerald V. Dunne
I present a pedagogical review of Heisenberg-Euler effective Lagrangians, beginning with the original work of Heisenberg and Euler, and Weisskopf, for the one loop effective action…
Bernoulli Number Identities from Quantum Field Theory and Topological String Theory
Gerald V. Dunne, Christian Schubert
We present a new method for the derivation of convolution identities for finite sums of products of Bernoulli numbers. Our approach is motivated by the role of these identities in…
Simple Soluble Molecular Ionization Model
Gerald V. Dunne, Christopher S. Gauthier
We present a simple exact analytical solution, using the Weyl-Titchmarsh-Kodaira spectral theorem, for the spectral function of the one-dimensional diatomic molecule model consisti…