Weekly Activities

Graph and Calculus from view point Finite dimensional Feynman diagrams (0-dimensional Quantum Field Theory)
Báo cáo viên: Hung Nguyễn, Pisa Univ.

Thời gian:9.30 sáng thứ Năm 1.4.2021

Địa điểm: Phòng 304, Nhà A5, Viện Toán học

Tón tắt: emph{The GOAL:} ( Computing the classical integration)
 [
 quad (1) quad int_{R^m} d^m x text{text{ text{ exp}}}(-k.mathcal{S}[phi])? qquad
 (2) quad int_{R^m} d^m x text{text{ text{ exp}}}(-kmathcal{S[phi]})f_1f_2...f_n?
 ]

The connection between planar graph and Gaussian Integral is of interest to physicists, we would like to explain this connection using combinatorial methods. The idea is to use Wick's theorem and Graph theory to quickly compute the expectation value of a function as well as the correlation function in $0-$dimensional QFT. It is fisrt part, but quite importance to construct general higher dimensional QFT.

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