Quantum fields, periods and algebraic geometry
High Energy Physics - Theory
2014-05-21 v1
Abstract
We discuss how basic notions of graph theory and associated graph polynomials define questions for algebraic geometry, with an emphasis given to an analysis of the structure of Feynman rules as determined by those graph polynomials as well as algebraic structures of graphs. In particular, we discuss the appearance of renormalization scheme independent periods in quantum field theory.
Cite
@article{arxiv.1405.4964,
title = {Quantum fields, periods and algebraic geometry},
author = {Dirk Kreimer},
journal= {arXiv preprint arXiv:1405.4964},
year = {2014}
}
Comments
15 pages, 8 figures, to appear in PM2012 'Periods and Motives' (Madrid, July 02-06 2012)