• Corpus ID: 221819469

Species-Theoretic Foundations of Perturbative Quantum Field Theory

  title={Species-Theoretic Foundations of Perturbative Quantum Field Theory},
  author={William Norledge},
  journal={arXiv: Mathematical Physics},
  • William Norledge
  • Published 21 September 2020
  • Mathematics
  • arXiv: Mathematical Physics
We develop an algebraic formalism for perturbative (local) quantum field theory (pQFT) which is based on Joyal's combinatorial species. We show that certain fundamental structures of pQFT are correctly viewed as algebraic structures internal to species. Aspects of this formalism have appeared in the physics literature, particularly in the work of Bogoliubov-Shirkov, Steinmann, Ruelle, and Epstein-Glaser-Stora. In this paper, we give a fully explicit account in terms of Aguiar-Mahajan's modern… 

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