[12a-N202-1~8] 3.12 Nanoscale optical science and near-field optics

[12a-N202-5] Quantum Fields as Category Algebras: A Foundation for Off-shell Sciences

〇Hayato Saigo¹ (1.Nagahama Institute of Bio-Science and Technology)

Keywords:category algebra, quantum field, off-shell sciences

In this talk, we will propose an approach to model quantum fields using a mathematical structure called "category algebras".This approach can be used not only to organize the fundamental theoretical concepts of quantum physics, but also to construct concrete mathematical models in off-shell science, such as modeling of dressed photons.