INTEGRAL KERNELS OF THE RENORMALIZED NELSON HAMILTONIAN (Mathematical aspects of quantum fields and related topics)

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  • INTEGRAL KERNELS OF THE RENORMALIZED NELSON HAMILTONIAN

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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 an infrared cutoff, the existence of the ground state is shown and the expectation values of observables with respect to the ground state are given in terms of a probability measure.

Journal

  • RIMS Kokyuroku

    RIMS Kokyuroku 2123 69-85, 2019-08

    京都大学数理解析研究所

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