Abstract
The reconstruction of the Gell-Mann-Low function in quantum field theory from its asymptotic series, whose first terms are calculated using perturbation theory, is discussed. This mathematical problem cannot be solved uniquely. Nevertheless, the desired function can be reconstructed in a certain finite range of coupling constant g under reasonable assumptions about this function. However, attemps to determine the behavior of the function for g→∞ are, in our opinion, groundless. Conditions under which the sum of the divergent perturbation series can rapidly decrease at infinity are determined.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of Experimental and Theoretical Physics Letters
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
