• Corpus ID: 15715360

Quantum field theory as a problem of resummation (Short guide to using summability methods)

  title={Quantum field theory as a problem of resummation (Short guide to using summability methods)},
  author={Alexander Moroz},
  journal={arXiv: High Energy Physics - Theory},
  • A. Moroz
  • Published 19 June 1992
  • Physics, Mathematics
  • arXiv: High Energy Physics - Theory
Thesis includes review on the large order behaviour of perturbation theory in quantum mechanical and field theory models; generalization of the Borel summability and strong asymptotic conditions to various (including horn-shaped) regions; discussion of analytic aspects of perturbation theory; examples which demonstrate differences between the Borel summability and generalized one; application to the Rayleigh-Schr\"{o}dinger perturbation theory and to the definition of the operator valued… 
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