nLab Gerald Dunne

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Selected writings

On the Schwinger effect:

• Gerald Dunne, The Heisenberg-Euler Effective Action: 75 years on, Int. J. Mod.Phys. A27 (2012) 1260004 (arXiv:1202.1557)

• Gerald Dunne, Heisenberg-Euler Effective Lagrangians: Basics and Extensions, in: Misha Shifman, Arkady Vainshtein, John Wheater (eds.), From Fields to Strings – Circumnavigating Theoretical Physics, pp. 445-522, World Scientific 2005 (arXiv:hep-th/0406216, doi:10.1142/9789812775344_0014)

Discussion of the Schwinger effect via worldline formalism:

• Gerald Dunne, Christian Schubert, Worldline Instantons and Pair Production in Inhomogeneous Fields, Phys. Rev. D72 (2005) 105004 (arXiv:hep-th/0507174)

Discussion of experiments that could/should see the Schwinger effect:

• Gerald Dunne, New Strong-Field QED Effects at ELI: Nonperturbative Vacuum Pair Production, Eur. Phys. J.D55:327-340, 2009 (arXiv:0812.3163)

On the appearance of Bernoulli numbers in perturbative quantum field theory and string theory:

• Gerald Dunne, Christian Schubert, Bernoulli Number Identities from Quantum Field Theory and Topological String Theory, Communications in Number Theory and Physics, Volume 7 (2013) Number 2, 225 - 249 (arXiv:math/0406610)

On resurgence:

• Gerald Dunne, Introduction to Resurgence, Trans-series and Non-perturbative Physics, 2018 (pdf)

• Gerald Dunne, Mithat Unsal, Uniform WKB, Multi-instantons, and Resurgent Trans-Series, Phys. Rev. D 89, 105009 (2014) (arXiv:1401.5202)

On Borel summation:

• Ovidiu Costin, Gerald Dunne, Convergence from Divergence (arXiv:1705.09687)

On effective action functionals:

• Gerald Dunne, Heisenberg-Euler Effective Lagrangians : Basics and Extensions, From Fields to Strings: Circumnavigating Theoretical Physics: pp. 445-522. (arXiv:hep-th/0406216, doi:10.1142/9789812775344_0014)

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