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

zbMath1429.81007arXiv1701.02600MaRDI QIDQ4556269

Oliver Matte, Jacob Schach Møller

Publication date: 15 November 2018

Full work available at URL: https://arxiv.org/abs/1701.02600

zbMATH Keywords

renormalizationFeynman-Kac formulaNelson modelnon-Fock representationPerron-Frobenius arguments

Mathematics Subject Classification ID

Model quantum field theories (81T10) General topics in linear spectral theory for PDEs (35P05) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Many-body theory; quantum Hall effect (81V70) Schrödinger and Feynman-Kac semigroups (47D08) Bosonic systems in quantum theory (81V73)

Related Items (11)

Feynman-Kac formulas for Dirichlet-Pauli-Fierz operators with singular coefficients ⋮ Ground states and associated path measures in the renormalized Nelson model ⋮ The resolvent of the Nelson Hamiltonian improves positivity ⋮ Functional central limit theorems and \(P(\phi )_1\)-processes for the relativistic and non-relativistic Nelson models ⋮ Bogoliubov dynamics and higher-order corrections for the regularized Nelson model ⋮ Self-adjointness of a class of multi-spin-boson models with ultraviolet divergences ⋮ Non-Fock ground states in the translation-invariant Nelson model revisited non-perturbatively ⋮ On the semigroup generated by the renormalized Nelson Hamiltonian ⋮ On renormalized Hamiltonian nets ⋮ On the domain of the Nelson Hamiltonian ⋮ On Nelson-type Hamiltonians and abstract boundary conditions

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