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TMF, 1993, Volume 95, Number 2, Pages 187–196 (Mi tmf1457)  

On the breakdown of perturbation theory

C. Bachas


Abstract: The production of $\scriptstyle o({1\over g^2})$ particles in a weakly-coupled theory is believed to be non-perturbatively suppressed. I comment on the prospects of (a) establishing this rigorously, and (b) estimating the effect to exponential accuracy semiclassically, by discussing two closely-related problems: the large-order behaviour of few-point Green functions, and induced excitation in quantum mechanics. Induced tunneling in the latter case is exponentially enhanced for frequencies of the order of the barrier height.

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English version:
Theoretical and Mathematical Physics, 1993, 95:2, 491–498

Bibliographic databases:


Citation: C. Bachas, “On the breakdown of perturbation theory”, TMF, 95:2 (1993), 187–196; Theoret. and Math. Phys., 95:2 (1993), 491–498

Citation in format AMSBIB
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\paper On the breakdown of perturbation theory
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\yr 1993
\vol 95
\issue 2
\pages 187--196
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\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1243245}
\zmath{https://zbmath.org/?q=an:0849.47040}
\transl
\jour Theoret. and Math. Phys.
\yr 1993
\vol 95
\issue 2
\pages 491--498
\crossref{https://doi.org/10.1007/BF01017133}
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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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