Angles, scales and parametric renormalization

Abstract

We decompose renormalized Feynman rules according to the scale and angle dependence of amplitudes. We use parametric representations such that the resulting amplitudes can be studied in algebraic geometry.

58 pages, many figures

References in corpus (1)

• Hopf algebras in renormalization theory: Locality and Dyson-Schwinger equations from Hochschild cohomology

Cited by in corpus (7)

• Minimally subtracted six loop renormalization of $O(n)$-symmetric ${\varphi }^4$ theory and critical exponents
• Quantization of gauge fields, graph polynomials and graph cohomology
• Feynman Amplitudes and Cosmic Galois group
• Some combinatorial aspects of quantum field theory
• Multiple polylogarithms and linearly reducible Feynman graphs
• Decomposing Feynman rules
• Filtrations in Dyson-Schwinger equations: next-to^{j} -leading log expansions systematically