F. T. Brandt, J. Frenkel, S. Martins-Filho, D. G. C. McKeon
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Renormalization of the Einstein-Cartan Theory in First-Order Form
We examine the Einstein-Cartan (EC) theory in first-order form, which has a
diffeomorphism as well as a local Lorentz invariance. We study the
renormalizability of this theory in the framework of the Batalin-Vilkovisky
formalism, which allows for a gauge invariant renormalization. Using the
background field method, we discuss the gauge invariance of the background
effective action and analyze the Ward identities which reflect the symmetries
of the EC theory. As an application, we compute, in a general background gauge,
the self-energy of the tetrad field at one-loop order.
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