Abstract
Lamentably, the full analytical content of the ε-expansion of the master two-loop two-point function, with arbitrary self-energy insertions in 4−2ε dimensions, is still unknown. Here we show that multiple zeta values (MZVs) of weights up to 12 suffice through O( ε 9). Products of primitive MZVs are generated by a processes of “pseudo-exponentiation” whose combinatorics faithfully accord with expectations based on Kreimer's modified shuffle product and on the Drinfeld-Deligne conjecture. The existence of such a mechanism, relating thousands of complicated rational numbers, enables us to identify precise and simple combinations of MZVs specific to quantum field theories in even numbers of spacetime dimensions.
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 callDisclaimer: 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.
