On the ultraviolet behaviour of quantum fields over noncommutative manifolds

Fecha

1999-03

Tipo

artículo original

Autores

Várilly Boyle, Joseph C.
Gracia Bondía, José M.

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Resumen

By exploiting the relation between Fredholm modules and the Segal-Shale-Stinespring version of canonical quantization, and taking as starting point the first-quantized fields described by Connes' axioms for noncommutative spin geometries, a Hamiltonian framework for fermion quantum fields over noncommutative manifolds is introduced. We analyze the ultraviolet behaviour of second-quantized fields over noncommutative three-tori, and discuss what behaviour should be expected on other noncommutative spin manifolds.

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Palabras clave

geometría no conmutativa, dimensión cuántica, teorema del índice, MATEMÁTICAS

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