Form Factors of Dipole States in Lattice Schwinger Model : 1+1-Dimensional Exercises

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概要

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• In lattice Schwinger model, the form factors of vector and pseudoscalar states, which are the bound states of the fermion and antifermion pair, are calculated, The perturbation calculation up to the eighth order is performed, then the Pade approximant is used to continue our results to the limit of continuous space. In taking the continuum limit, the method to recover the translational invariance is found. It is concluded from our analysis that in the case of the massive Schwinger model the form factors of vector and pseudoscalar states both behave like a simple pole. In the case of the massless Schwinger model, however, the singularity appears in the Pade approximant at x^4=0.124, where x is the expansion parameter of perturbation calculation. At this point, the form factors behave like a simple pole.

• 理論物理学刊行会の論文
• 1978-02-25

著者

• Inoue Katsuya

  School Of High Energy Accelerator Science The Graduate University For Advanced Studies:institute For

• SAKAI Sunao

  Institute of Physics, University of Tsukuba

• Sakai Sunao

  Institute Of Physics University Of Tsukuba

• Sakai Sunao

  Institute Of Physics The University Of Tsukuba

• INOUE Kazuhiko

  Instisute of Physics, University of Tsukuba

• Inoue Kazuhiko

  Institute Of Physics University Of Tsukuba

• Inoue Kazuko

  Department of Applied Molecular Science Institute for Molecular Science : Faculty of Science, Hiroshima University

• SAKAI Sunao

  Faculty of Education, Yamagata University

• SAKAI Sunao

  Departmont of Physics Tokyo University of Education:Department of Physics, University of Tsukuba

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