• Media type: E-Article
  • Title: Functional Solution Scheme for Relativistic Strong-coupling Theory III
  • Contributor: Heber, Gerhard; Kühnel, Adolf; Kaiser, H. J.
  • imprint: Walter de Gruyter GmbH, 1965
  • Published in: Zeitschrift für Naturforschung A
  • Language: English
  • DOI: 10.1515/zna-1965-0402
  • ISSN: 1865-7109; 0932-0784
  • Keywords: Physical and Theoretical Chemistry ; General Physics and Astronomy ; Mathematical Physics
  • Origination:
  • Footnote:
  • Description: <jats:p>The graph scheme developed in <jats:sup>1</jats:sup> is further investigated. The structure of the coefficients α<jats:sub>k</jats:sub> is determined in terms of α<jats:sub>0</jats:sub> and the projections of the splitting graphs. This allows a formal summation of the k-series. The first few terms of the strong coupling series for the lowest mass eigenvalue are computed for the λ φ<jats:sup>4</jats:sup> theory. The leading term for large λ is complex. This restricts physically acceptable solutions to λ below some critical value.</jats:p> <jats:p>By including a bare mass m in the Lagrangian. the α<jats:sub>k</jats:sub> become dependent on it. Consideration of one α<jats:sub>k</jats:sub> e. g. α<jats:sub>0</jats:sub> (m, λ) should then be sufficient for the determination of physical mass eigenvalues.</jats:p>
  • Access State: Open Access