Abstract
The properties of a generalized version of the Borel transform in infrared unstable theories wth dynamical mass generation are studied. The reconstruction of the nonperturbative structure is unambiguous in this version. Various methods for extracting the singularity structure of the Borel transform for lattice formulations of such theories are explored and illustrated explicitly with the O(N) \ensuremath{\sigma} model. The status of the first infrared renormalon in QCD is discussed. The feasibility of a proposed technique for analytically continuing from the left-hand Borel plane (where nonperturbative information is available via simulation of lattice field theory) to the positive real axis is examined using the \ensuremath{\sigma} model.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
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.