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Coupling-Constant Analyticity in the Charged-Scalar Static Model
Phys. Rev. D 3, 587 – Published 15 January, 1971
DOI: https://doi.org/10.1103/PhysRevD.3.587
Abstract
The analytic properties of the two-point function for the charged-scalar static model in the bare coupling are investigated. The proper self-energy function appears to be an analytic function in the plane cut along the positive real axis, and the value of determined by mass renormalization lies well below the nearest branch point on the real line. The perturbation series will, therefore, converge at this point. The Padé approximants to the full propagator and to an important subsequence of graphs are studied. Although these approximants appear to converge in the cut plane, the convergence is not rapid.
References (11)
- A. Jaffe, Commun. Math. Phys. 1, 127 (1965)
- P. B. James and G. R. North, Phys. Rev. D 2, 695 (1970)
- P. B. James and G. R. North, J. Comp. Phys. (to be published)
- D. Bessis and M. Pusterla, Nuovo Cimento 54A, 243 (1968) J. Basdevant, D. Bessis, and J. Zinn Justin, ibid. 60A, 185 (1969)
- G. Baker, Advan. Theoret. Phys. 1, 1 (1965)
- C. Bender and T. T. Wu, Phys. Rev. Letters 21, 406 (1968) J. J. Loeffel, A. Martin, B. Simon, and A. S. Wightman, Phys. Letters 164, 656 (1969) B. Simon, Ann. Phys. (N. Y.) 58, 76 (1970)
- C. Goebel and B. Sakita, Phys. Rev. Letters 11, 293 (1963)
- A. Pais and R. Serber, Phys. Rev. 105, 1636 (1957)
- T. D. Lee, Phys. Rev 95, 1329 (1954)
- D. F. Freeman, G. R. North, and M. H. Rubin, Phys. Rev. 188, 2426 (1969)
Omitted endnote