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Graphene

The running of the constants

To first approximation, the dispersion relation around the Fermi energy of single-layer graphene is linear, making its charge carriers behave like massless relativistic subatomic particles. More careful inspection of its low-energy band structure suggests the picture is more complex, extending the analogy even further.

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Figure 1: Initial formulations of quantum field theory predicted infinite values of basic physical quantities when calculated with perturbative techniques.

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Correspondence to Maria A. H. Vozmediano.

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Vozmediano, M. The running of the constants. Nature Phys 7, 671–672 (2011). https://doi.org/10.1038/nphys2066

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