Quantum Lunch: Feynman-Kac formulas for the ultra-violet renormalized Nelson model – University of Copenhagen

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QMath > Events > Quantum Lunch > w 3 Oliver Matte

Quantum Lunch: Feynman-Kac formulas for the ultra-violet renormalized Nelson model

Speaker: Oliver Matte from Aarhus University

Title:
Feynman-Kac formulas for the ultra-violet renormalized Nelson model

Abstract:
We explain the structure and sketch the derivation of Feynman-Kac formulas representing the semi-group generated by the ultra-violet renormalized Nelson Hamiltonian. Furthermore, ignoring the Pauli principle, we present a new lower bound on the spectrum of the renormalized Nelson Hamiltonian and indicate how the Feynman-Kac formulas can be used to prove ergodicity of its semi-group.
The talk is based on recent joint work with Jacob Schach Møller.