ep - l at / 0 10 50 05 v 1 5 M ay 2 00 1 A No - Go Theorem For The Compatibility Between Involution Of First Order Differential on Lattice And Continuum Limit
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چکیده
We prove that differentials of lattice coordinate functions x must be algebraic independent to their involutive conjugate, else no correct continuum limit exists. PACS: 02.40.Gh, 11.15.Ha
منابع مشابه
0 10 50 05 v 2 7 J ul 2 00 1 A No - Go Theorem For The Compatibility Between Involution Of First Order Differential On Lattice And Continuum Limit
We prove that differentials of lattice coordinate functions x must be algebraically independent of their involutive conjugate, else no correct continuum limit exists. PACS: 02.40.Gh, 11.15.Ha
متن کاملA No-Go Theorem for the Compatibility between Involutions of the First Order Differentials on a Lattice and the Continuum Limit
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. PACS: 02.40.Gh, 11.15.Ha
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تاریخ انتشار 2001