The β-function over curved space-time under ζ-function regularization
نویسنده
چکیده
This paper generalizes the Connes-Marcolli renormalization bundle to scalar field theories over a curved space-time background, specifically looking at ζ-function regularization. It further extends the idea of renormalization mass scale from a scalar change of metric to a conformal change of metric. In this context, it becomes useful to think of the renormalization mass scale as a complex 1-density over the background manifold.
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تاریخ انتشار 2009