Habilitationsschrift: Renormalization and Knot Theory
arXiv:q-alg/9607022 · doi:10.1142/S0218216597000315
Abstract
We investigate to what extent renormalization can be understood as an algebraic manipulation on concatenated one-loop integrals. We find that the resulting algebra indicates a useful connection to knot theory as well as number theory and report on recent results in support of this connection.
103 pages with 61 figures, uses LaTeX with epsf. Habilschrift. References updated, few minor Typos corrected
References in corpus (4)
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- Bogolubov's Recursion and Integrability of Effective Actions
- The QCD beta-function from global solutions to Dyson-Schwinger equations
- Compact analytical form for non-zeta terms in critical exponents at order 1/N^3
- Long-range multi-scalar models at three loops
- Some remarks on q-deformed multiple polylogarithms
- On the Invariance of Residues of Feynman Graphs
- Perturbative and Geometric Analysis of the Quartic Kontsevich Model
- Particle on a torus knot: Symplectic analysis
- Non-zeta knots in the renormalization of the Wess-Zumino model?
- An Introduction to Motivic Feynman Integrals
- Feynman diagrams as a weight system: four-loop test of a four-term relation
- Chord diagrams and BPHZ subtractions
- On Solving Dual Conformal Integrals in Coulomb-branch Amplitudes and Their Periods