A multipurpose Hopf deformation of the Algebra of Feynman-like Diagrams

Abstract

We construct a three parameter deformation of the Hopf algebra $\mathbf{LDIAG}$. This new algebra is a true Hopf deformation which reduces to $\mathbf{LDIAG}$ on one hand and to $\mathbf{MQSym}$ on the other, relating $\mathbf{LDIAG}$ to other Hopf algebras of interest in contemporary physics. Further, its product law reproduces that of the algebra of polyzeta functions.

arXiv comment5 pages

References in corpus (3)

• Boson Normal Ordering via Substitutions and Sheffer-type Polynomials
• A product formula and combinatorial field theory
• Hopf Algebra Structure of a Model Quantum Field Theory

Cited by in corpus (1)

• Hopf Algebras in General and in Combinatorial Physics: a practical introduction