Renormalization, isogenies and rational symmetries of differential equations

Abstract

We give an example of infinite order rational transformation that leaves a linear differential equation covariant. This example can be seen as a non-trivial but still simple illustration of an exact representation of the renormalization group.

36 pages

References in corpus (6)

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• Experimental mathematics on the magnetic susceptibility of the square lattice Ising model
• Rota-Baxter Algebras in Renormalization of Perturbative Quantum Field Theory
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• The diagonal Ising susceptibility
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Cited by in corpus (3)

• The Ising model: from elliptic curves to modular forms and Calabi-Yau equations
• Differential algebra on lattice Green functions and Calabi-Yau operators (unabridged version)
• Automata and the susceptibility of the square lattice Ising model modulo powers of primes