日仏数学拠点FJ-LMIセミナー

過去の記録 ~05/01次回の予定今後の予定 05/02~

担当者 小林俊行, ミカエル ペブズナー

2025年04月17日(木)

15:45-16:30   数理科学研究科棟(駒場) 056号室
Giuseppe DITO 氏 (Université Bourgogne Europe)
Deformation quantization and Wightman distributions (英語)
[ 講演概要 ]
Twisted $\hbar$-deformations by classical wave operators are introduced for a scalar field theory in Minkowski spacetime. These deformations are non-perturbative in the coupling constant. The corresponding Wightman $n$-functions are defined as evaluations at $0$ of the $n$-fold deformed products of classical solutions of the classical wave equation. We show that, in this setting, the $2$-point function is well-defined as a formal series in $\hbar$ of tempered distributions. Interestingly, these twisted deformations appear to possess an inherent renormalization scheme.
[ 講演参考URL ]
https://fj-lmi.cnrs.fr/seminars/