2次元時空における Bose 場のスピルノ化とその超対称理論への応用

概要

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A spinor-like representation of bosonic fields ("spinorizaion method") is presented in 2-dimensions. In contrast to the usual bosonization method, bosonic fields are represented in the form of spinor fields and a Klein-Gordon action can be rewritten in the form of the Dirac action up to surface terms. When applied to the supersymmetric theories the boson-fermion symmetry (SUSY) becomes manifest in the one-loop level. Due to the difference of their statistics the one-loop corrections to the soliton mass are cancelled between the spinorized bosonic fields and the fermionic fields. Only the surface terms survive and the Wit-ten-Olive conjecture on the saturation of the Bogomolny bounds can be reconfirmed.
木更津工業高等専門学校の論文