English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We investigate the relationship between the universal topological polynomialsfor graphs in mathematics and the parametric representation of Feynmanamplitudes in quantum field theory. In this first paper we consider translationinvariant theories with the usual heat-kernel-based propagator. We show how theSymanzik polynomials of quantum field theory are particular multivariateversions of the Tutte polynomial, and how the new polynomials of noncommutativequantum field theory are particular versions of the Bollob\'as-Riordanpolynomials.

Topological Graph Polynomials and Quantum Field Theory, Part I: Heat Kernel Theories