English

Renormalization, isogenies and rational symmetries of differential equations

Mathematical Physics 2010-02-08 v2 Statistical Mechanics High Energy Physics - Theory math.MP Computational Physics

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.

Keywords

Cite

@article{arxiv.0911.5466,
  title  = {Renormalization, isogenies and rational symmetries of differential equations},
  author = {A. Bostan and S. Boukraa and S. Hassani and J. -M. Maillard and J-A. Weil and N. Zenine and N. Abarenkova},
  journal= {arXiv preprint arXiv:0911.5466},
  year   = {2010}
}

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36 pages