00-239 Masao Hirokawa

Remarks on the Ground State Energy of the Spin-Boson Model. An Application of the Wigner-Weisskopf Model. (104K, LATeX 2e) May 23, 00

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Abstract. For the ground state energy of the spin-boson (SB) model, we give a new upper bound in the case with infrared singularity condition (i.e., without infrared cutoff), and a new lower bound in the case of massless bosons with infrared regularity condition. We first investigate spectral properties of the Wigner-Weisskopf (WW) model, and apply them to SB model to achieve our purpose. Then, as an extra result of the spectral analysis for WW model, we show that a non-perturbative ground state appears, and its ground state energy is so low that we cannot conjecture it by using the regular perturbation theory.

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