nLab Christian Schubert

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• ResearchGate page

Selected writings

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 the worldline formalism for perturbative quantum field theory:

• M. G. Schmidt, Christian Schubert, Worldline Green Functions for Multiloop Diagrams, Phys.Lett. B331 (1994) 69-76 (arXiv:hep-th/9403158)

• M. G. Schmidt, Christian Schubert, The Worldline Path Integral Approach to Feynman Graphs (arXiv:hep-ph/9412358)

• Christian Schubert, An Introduction to the Worldline Technique for Quantum Field Theory Calculations, Acta Phys. Polon.B 27 3965-4001 (1996) [arXiv:hep-th/9610108]

• Christian Schubert, Perturbative Quantum Field Theory in the String-Inspired Formalism, Phys.Rept. 355 (2001) 73-234 (arXiv:hep-th/0101036)

• Olindo Corradini, Christian Schubert, James P. Edwards, Naser Ahmadiniaz, Spinning Particles in Quantum Mechanics and Quantum Field Theory (arXiv:1512.08694)

  (emphasis on spinning particles)

• James P. Edwards, Urs Gerber, Christian Schubert, Maria Anabel Trejo, Thomai Tsiftsi, Axel Weber: Applications of the worldline Monte Carlo formalism in quantum mechanics, Annals of Physics 411 (2019) 167966 [arXiv:1903.00536, doi:10.1016/j.aop.2019.167966]

• James P. Edwards, Christian Schubert: Quantum mechanical path integrals in the first quantised approach to quantum field theory [arXiv:1912.10004]

  (with emphasis on modern developments)

• James P. Edwards, C. Moctezuma Mata, U. Müller, Christian Schubert: New techniques for worldline integration, SIGMA 17 (2021) 065 [arXiv:2106.12071, doi:10.3842/SIGMA.2021.065]

• Naser Ahmadiniaz, Victor Miguel Banda Guzman, Fiorenzo Bastianelli, Olindo Corradini, James P. Edwards, Christian Schubert: Worldline master formulas for the dressed electron propagator, part 2: On-shell amplitudes, J. High Energ. Phys. 2022 50 (2022) [arXiv:2107.00199, doi:10.1007/JHEP01(2022)050]

• Christian Schubert et al., Summing Feynman diagrams in the worldline formalism [arXiv:2208.06585]

• Christian Schubert et al.: Worldline integration of photon amplitudes, talk at Loops and Legs in Quantum Field Theory (LL2024) [arXiv:2407.07383]

Discussion of the Schwinger effect via worldline formalism:

• Gerald Dunne, Christian Schubert, Worldline Instantons and Pair Production in Inhomogeneous Fields, Phys. Rev. D 72 (2005) 105004 [arXiv:hep-th/0507174]

• Christian Schubert, The worldline formalism in strong-field QED [arXiv:2304.07404]

On worldline formalism in plane wave backgrounds:

• James P. Edwards, Christian Schubert: $N$-photon amplitudes in a plane-wave background, Phys. Lett. B 822 (2021) 136696 [arXiv:2105.08173, doi:10.1016/j.physletb.2021.136696]

• Patrick Copinger, James P. Edwards, Anton Ilderton, Karthik Rajeev: Master formulas for $N$-photon tree level amplitudes in plane wave backgrounds, Phys. Rev. D 109 6 (2024) 065003 [arXiv:2311.14638, doi:10.1103/PhysRevD.109.065003]

• Patrick Copinger, James P. Edwards, Karthik Rajeev: Scattering in strong field QED in a non-null background [arXiv:2603.28665]

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