Non-Existence of the Nontrivial Vacuum Structure in the Schwinger Model. I : Particles and Fields
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概要
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A bosonization formula for a two-dimensional free massless fermion field ψ is given in the ψ Fock space. It is shown that Lowenstein and Swieca's spurion operator is expressed as the exponential function of the infrared parts of the associated boson fields subtracted by Klaiber by hand. The negative metric free massless field η^^~ is found to be represented similarly. Accordingly it is clarified that there do not exist any other degenerate ground states than zero-norm states in the Landau-gauge Schwinger model. It is also found that multifermion condensations generate vacuum structure of zero-norm subspace in the Landau-gauge Schwinger model with multifermions belonging to different U(1) representations. We also extend the bosonization formula to the Thirring model.
- 理論物理学刊行会の論文
- 1984-07-25
著者
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Nakawaki Y
Setsunan Univ. Osaka Jpn
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Nakawaki Yuji
Division Of Mathematics And Physics Department Of Engineering Setsunan University
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