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  • Access by Xinjiang University

Convergence of Perturbation Theory for Static Models

P. B. James and G. R. North

  • Department of Physics, University of Missouri—St. Louis, St. Louis, Missouri 63121

Phys. Rev. D 2, 695 – Published 15 August, 1970

DOI: https://doi.org/10.1103/PhysRevD.2.695

Abstract

The unrenormalized perturbation series for the charged-scalar static model with finite cutoff is shown to have a finite radius of convergence. Although only the two-point function is explicitly considered, the result generalizes to three- and four-point functions.

References (3)

  1. C. M. Bender and T. T. Wu, Phys. Rev. Letters 21, 406 (1968) Phys. Rev. 184, 1231 (1969) C. M. Bender, J. E. Mandula, and B. M. McCoy, Phys. Rev. Letters 24, 681 (1970)
  2. G. F. Chew and F. E. Low, Phys. Rev. 101, 1570 (1956) L. Castillejo, R. Dalitz, and F. J. Dyson, ibid. 101, 453 (1956) T. D. Lee, ibid. 95, 1329 (1954) F. J. Dyson, ibid. 100, 344 (1955)
  3. D. F. Freeman, G. R. North, and M. H. Rubin, Phys. Rev. 188, 2426 (1969)

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