Wednesday, November 12, 2025 - 14:00 in V3-201+Zoom
Derivation of $\Phi^4_3$ theory from many-body quantum mechanics
A talk in the Bielefeld Stochastic Afternoon & CRC Seminar series by
Phan Thánh Nam from LMU München
| Abstract: |
I will discuss a rigorous derivation of the classical $\Phi^4_3$ measure as a semiclassical limit of the quantum Gibbs state of an interacting Bose gas. Consequently, we show that the classical field theory is appropriate to capture the formation of Bose–Einstein condensation just above the critical temperature. The proof is based on several techniques from both stochastic quantization and mathematical quantum mechanics, including paracontrolled calculus, variational principles, and correlation inequalities. The talk is based on joint work with Rongchan Zhu and Xiangchan Zhu.
Within the CRC this talk is associated to the project(s): A5 |
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