Ultraviolet renormalization of the Nelson Hamiltonian through functional integration

@article{Gubinelli2013UltravioletRO,
  title={Ultraviolet renormalization of the Nelson Hamiltonian through functional integration},
  author={Massimiliano Gubinelli and Fumio Hiroshima and J{\'o}zsef Lőrinczi},
  journal={Journal of Functional Analysis},
  year={2013},
  volume={267},
  pages={3125-3153}
}
Note on ultraviolet renormalization and ground state energy of the Nelson model
Ultraviolet (UV) renormalization of the Nelson model He in quantum field theory is considered. E. Nelson proved that lime!0e T(H" E ren " ) converges to e THren in [Nel64a]. A relationship between a
Ultraviolet Renormalisation of a quantum field toy model I
We consider a class of Hamiltonians describing a fermion field coupled to a boson field. The interaction kernels are assumed bounded in the fermionic momentum variable and decaying like |q| for large
Integral kernels of the renormalized Nelson Hamiltonian
  • Fumio
  • Physics, Mathematics
  • 2019
In this article we consider the ground state of the renormalized Nelson Hamiltonian in quantum field theory by using the integral kernel of the semigroup generated by the Hamiltonian. By introducing
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