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Topological graph polynomials and quantum field theory, Part I: Heat kernel theories (2008)
| Citations: | 23 - 5 self |
BibTeX
@MISC{Krajewski08topologicalgraph,
author = {T. Krajewski and V. Rivasseau and A. Tanasa and Zhituo Wang},
title = {Topological graph polynomials and quantum field theory, Part I: Heat kernel theories },
year = {2008}
}
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Abstract
We investigate the relationship between the universal topological polynomials for graphs in mathematics and the parametric representation of Feynman amplitudes in quantum field theory. In this first paper we consider translation invariant theories with the usual heat-kernel-based propagator. We show how the Symanzik polynomials of quantum field theory are particular multivariate versions of the Tutte polynomial, and how the new polynomials of noncommutative quantum field theory are particular versions of the Bollobás-Riordan polynomials.
Keyphrases
quantum field theory heat kernel theory topological graph polynomial particular multivariate version noncommutative quantum field theory symanzik polynomial translation invariant theory feynman amplitude bollob s-riordan polynomial first paper tutte polynomial new polynomial universal topological polynomial particular version parametric representation usual heat-kernel-based propagator
