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arXiv · 1210.4031

The renormalized locally covariant Dirac field

Jochen Zahn
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Abstract

The definition of the locally covariant Dirac field is adapted such that it may be charged under a gauge group and in the presence of generic gauge and Yukawa background fields. We construct renormalized Wick powers and time-ordered products. It is shown that the Wick powers may be defined such that the current and the stress-energy tensor are conserved, and the remaining ambiguity is characterized. We sketch a variant of the background field method that can be used to determine the renormalization group flow at the one loop level from the nontrivial scaling of Wick powers.

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Jochen Zahn. 2012-10-15. The renormalized locally covariant Dirac field. https://doi.org/10.1142/s0129055x13300124

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