A No-Go Theorem for the Compatibility between Involutions of the First Order Differentials on a Lattice and the Continuum Limit

Details A No-Go Theorem for the Compatibility between Involutions of the First Order Differentials on a Lattice and the Continuum Limit A No-Go Theorem for the Compatibility between Involutions of the First Order Differentials on a Lattice and the Continuum Limit

2001-05-05

arxiv.org/abs/hep-lat/0105005v3

Commun.Theor.Phys. 39 (2003) 301-303

Physics

High Energy Physics

High Energy Physics - Lattice

LaTeX, 7 pages; No figures and tables. Significant modifications being carried out

Scientific paper

We prove that the following three properties can not match each other on a
lattice, that differentials of coordinate functions are algebraically dependent
to their involutive conjugates, that the involution on a lattice is an
antihomomorphism and that differential calculus has a natural continuum limit.

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