Quantum periods: A census of \phi^4-transcendentals
High Energy Physics - Theory
2014-11-18 v2
Abstract
Perturbative quantum field theories frequently feature rational linear combinations of multiple zeta values (periods). In massless \phi^4-theory we show that the periods originate from certain `primitive' vacuum graphs. Graphs with vertex connectivity 3 are reducible in the sense that they lead to products of periods with lower loop order. A new `twist' identity amongst periods is proved and a list of graphs (the census) with their periods, if available, is given up to loop order 8.
Cite
@article{arxiv.0801.2856,
title = {Quantum periods: A census of \phi^4-transcendentals},
author = {Oliver Schnetz},
journal= {arXiv preprint arXiv:0801.2856},
year = {2014}
}
Comments
33 pages, 71 postscript figures, v2: augmented and rewritten