Large Order Behaviour of Perturbation Theory is popular PDF and ePub book, written by J.C. Le Guillou in 2012-12-02, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Large Order Behaviour of Perturbation Theory can be Read Online from any device for your convenience.
Large Order Behaviour of Perturbation Theory Book PDF Summary
This volume is concerned with the determination of the behaviour of perturbation theory at large orders in quantum mechanics and quantum field theory, and its application to the problem of summation of perturbation series. Perturbation series in quantum field theory and in many quantum mechanics models are only asymptotic and thus diverge for all values of the expansion parameter. Their behaviour at large orders provides information about whether they define the theory uniquely (the problem of Borel summability). It suggests methods to extract numerical information from the series when the expansion parameter is not small. The articles reprinted here deal with the explicit evaluation of large-order behaviour in many quantum mechanics and field theory models. The large-order behaviour is related to barrier penetration effects for unphysical values of the expansion parameter, which can be calculated by WKB or instanton methods. The calculation of critical exponents of &fgr;4 field theory is presented as a practical application.
Detail Book of Large Order Behaviour of Perturbation Theory PDF
- Author : J.C. Le Guillou
- Release : 02 December 2012
- Publisher : Elsevier
- ISBN : 9780444596208
- Genre : Mathematics
- Total Page : 595 pages
- Language : English
- PDF File Size : 16,6 Mb
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