A New Bosonization Procedure of Two-Dimensional Fermion Models in the Path Integral Formulation

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概要

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• We present a new bosonization procedure for two-dimensional fermion models in the path integral formulation.We introduce external sources for the fermion currents instead of the auxiliary boson fields used in the conventional procedure.The calculations become much simpler because the external sources do not interact with themselves, while the auxiliary boson fields do, and we can find the equivalent boson models directy.All the formulations are done in Minkowski space-time.The extended Bukhvostov-Lipatov model and the massive Thirring model are discussed here as typical two-dimensional fermion models with current-current-type interactions.The Rothe and Stamatescu model is also discussed, though this is slightly out of the context of bosonization, and the relation of the fermion current in the Heisenberg picture with that in the interaction picture is derived almost straightforwardly.Usually in the operator formalism, this relation is derived using the splitting procedure, which requires detailed calculations.It is expected that we can derive the boson model equivalent to the fermion model with SU(N)symmetry more easily and without any guess work.

• 理論物理学刊行会の論文
• 2000-07-25

著者

• Sakamoto J

  Shimane Univ. Matsue Jpn

• Sakamoto J

  Food Research Laboratories Ajinomoto Co. Inc.

• SAKAMOTO Jiro

  Food Research Laboratories, Ajinomoto Co. Inc.

• Sakamoto Jiro

  Physics Department Shimane University

• Bed Raj

  Central Department Of Physics Tribhuvan University

• Poudel Bed

  Central Department Of Physics Tribhuvan University

• SAKAMOTO Jiro

  Department of Physics, Shimane University

• SAKAMOTO Jiro

  Physics Department, Shimane University

• Bed Raj

  Central Department of Physics, Tribhuvan University

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